Morten Hjorth-Jensen
2689 lines
171 KiB
Plaintext
2689 lines
171 KiB
Plaintext
%merlin.mbs apsrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked
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\citenamefont {Schuld}, \citenamefont {Tishby}, \citenamefont
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quantum states in the nisq era},}\ }\href {\doibase
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{Huber}}]{evert2017nature}%
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{journal} {Nature Physics}\ }\textbf {\bibinfo {volume} {13}},\ \bibinfo
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{pages} {435} (\bibinfo {year} {2017})}\BibitemShut {NoStop}%
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|
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{Melko}(2016)}]{torlai_learning_2016}%
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{Melko}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Learning
|
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10.1103/PhysRevB.94.165134} {\bibfield {journal} {\bibinfo {journal}
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{Physical Review B}\ }\textbf {\bibinfo {volume} {94}},\ \bibinfo {pages}
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10.1103/PhysRevB.94.195105} {\bibfield {journal} {\bibinfo {journal} {Phys.
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(\bibinfo {year} {2016})}\BibitemShut {NoStop}%
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10.1103/PhysRevX.7.031038} {\bibfield {journal} {\bibinfo {journal} {Phys.
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Rev. X}\ }\textbf {\bibinfo {volume} {7}},\ \bibinfo {pages} {031038}
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(\bibinfo {year} {2017})}\BibitemShut {NoStop}%
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|
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quantum phases of matter beyond the fermion sign problem},}\ }\href {\doibase
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10.1038/s41598-017-09098-0} {\bibfield {journal} {\bibinfo {journal}
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{8823} (\bibinfo {year} {2017}{\natexlab{a}})}\BibitemShut {NoStop}%
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learning topological states},}\ }\href {\doibase 10.1103/PhysRevB.96.195145}
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{2017})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Schindler}\ \emph {et~al.}(2017)\citenamefont
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{Neupert}}]{neupeurt2017}%
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{Regnault}}, \ and\ \bibinfo {author} {\bibfnamefont {Titus}\ \bibnamefont
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{Neupert}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Probing
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many-body localization with neural networks},}\ }\href {\doibase
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10.1103/PhysRevB.95.245134} {\bibfield {journal} {\bibinfo {journal} {Phys.
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Rev. B}\ }\textbf {\bibinfo {volume} {95}},\ \bibinfo {pages} {245134}
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(\bibinfo {year} {2017})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Hsu}\ \emph {et~al.}(2018)\citenamefont {Hsu},
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{Das~Sarma}}]{yi-ting2018}%
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{author} {\bibfnamefont {Dong-Ling}\ \bibnamefont {Deng}}, \ and\ \bibinfo
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{author} {\bibfnamefont {S.}~\bibnamefont {Das~Sarma}},\ }\bibfield {title}
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{\enquote {\bibinfo {title} {Machine learning many-body localization: Search
|
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for the elusive nonergodic metal},}\ }\href {\doibase
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{245701} (\bibinfo {year} {2018})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Huembeli}\ \emph {et~al.}(2018)\citenamefont
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{Wittek}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Identifying
|
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quantum phase transitions with adversarial neural networks},}\ }\href
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{journal} {Phys. Rev. B}\ }\textbf {\bibinfo {volume} {97}},\ \bibinfo
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{pages} {134109} (\bibinfo {year} {2018})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Greitemann}\ \emph {et~al.}(2019)\citenamefont
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{Greitemann}, \citenamefont {Liu},\ and\ \citenamefont
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{Pollet}}]{PhysRevB.99.060404}%
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Jonas}\ \bibnamefont
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}\bibfield {title} {\enquote {\bibinfo {title} {Probing hidden spin order
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with interpretable machine learning},}\ }\href {\doibase
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10.1103/PhysRevB.99.060404} {\bibfield {journal} {\bibinfo {journal} {Phys.
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Rev. B}\ }\textbf {\bibinfo {volume} {99}},\ \bibinfo {pages} {060404}
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(\bibinfo {year} {2019})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Liu}\ \emph {et~al.}(2019)\citenamefont {Liu},
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\citenamefont {Greitemann},\ and\ \citenamefont
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Ke}~\bibnamefont
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{Liu}}, \bibinfo {author} {\bibfnamefont {Jonas}\ \bibnamefont {Greitemann}},
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\ and\ \bibinfo {author} {\bibfnamefont {Lode}\ \bibnamefont {Pollet}},\
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}\bibfield {title} {\enquote {\bibinfo {title} {Learning multiple order
|
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parameters with interpretable machines},}\ }\href {\doibase
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10.1103/PhysRevB.99.104410} {\bibfield {journal} {\bibinfo {journal} {Phys.
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Rev. B}\ }\textbf {\bibinfo {volume} {99}},\ \bibinfo {pages} {104410}
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(\bibinfo {year} {2019})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Zhang}\ \emph {et~al.}(2019)\citenamefont {Zhang},
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\citenamefont {Mesaros}, \citenamefont {Fujita}, \citenamefont {Edkins},
|
|
\citenamefont {Hamidian}, \citenamefont {Ch'ng}, \citenamefont {Eisaki},
|
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\citenamefont {Uchida}, \citenamefont {Davis}, \citenamefont {Khatami},\ and\
|
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\citenamefont {Kim}}]{Zhang_MLcuprates}%
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\bibinfo {author} {\bibfnamefont {K.}~\bibnamefont {Fujita}}, \bibinfo
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{\bibfnamefont {K.}~\bibnamefont {Ch'ng}}, \bibinfo {author} {\bibfnamefont
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{H.}~\bibnamefont {Eisaki}}, \bibinfo {author} {\bibfnamefont
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{S.}~\bibnamefont {Uchida}}, \bibinfo {author} {\bibfnamefont
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{J.~C.~S{\'e}amus}\ \bibnamefont {Davis}}, \bibinfo {author} {\bibfnamefont
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{Ehsan}\ \bibnamefont {Khatami}}, \ and\ \bibinfo {author} {\bibfnamefont
|
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{Eun-Ah}\ \bibnamefont {Kim}},\ }\bibfield {title} {\enquote {\bibinfo
|
|
{title} {Machine learning in electronic-quantum-matter imaging
|
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experiments},}\ }\href {\doibase 10.1038/s41586-019-1319-8} {\bibfield
|
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{journal} {\bibinfo {journal} {Nature}\ }\textbf {\bibinfo {volume} {570}},\
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\bibinfo {pages} {484--490} (\bibinfo {year} {2019})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Bohrdt}\ \emph {et~al.}(2018)\citenamefont {Bohrdt},
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\citenamefont {Chiu}, \citenamefont {Ji}, \citenamefont {Xu}, \citenamefont
|
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{Greif}, \citenamefont {Greiner}, \citenamefont {Demler}, \citenamefont
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|
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{\bibfnamefont {Michael}\ \bibnamefont {Knap}},\ }\bibfield {title}
|
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{\enquote {\bibinfo {title} {{Classifying Snapshots of the Doped Hubbard
|
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Model with Machine Learning}},}\ }\href {http://arxiv.org/abs/1811.12425} {\
|
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(\bibinfo {year} {2018})},\ \Eprint {http://arxiv.org/abs/1811.12425}
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\bibitem [{\citenamefont {Rem}\ \emph {et~al.}(2018)\citenamefont {Rem},
|
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\citenamefont {K{\"{a}}ming}, \citenamefont {Tarnowski}, \citenamefont
|
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{Asteria}, \citenamefont {Fl{\"{a}}schner}, \citenamefont {Becker},
|
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\citenamefont {Sengstock},\ and\ \citenamefont {Weitenberg}}]{Rem2018}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Benno~S.}\
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\bibnamefont {Rem}}, \bibinfo {author} {\bibfnamefont {Niklas}\ \bibnamefont
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{K{\"{a}}ming}}, \bibinfo {author} {\bibfnamefont {Matthias}\ \bibnamefont
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{Tarnowski}}, \bibinfo {author} {\bibfnamefont {Luca}\ \bibnamefont
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{Asteria}}, \bibinfo {author} {\bibfnamefont {Nick}\ \bibnamefont
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{Fl{\"{a}}schner}}, \bibinfo {author} {\bibfnamefont {Christoph}\
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\bibnamefont {Becker}}, \bibinfo {author} {\bibfnamefont {Klaus}\
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\bibnamefont {Sengstock}}, \ and\ \bibinfo {author} {\bibfnamefont
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{Christof}\ \bibnamefont {Weitenberg}},\ }\bibfield {title} {\enquote
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{\bibinfo {title} {{Identifying Quantum Phase Transitions using Artificial
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Neural Networks on Experimental Data}},}\ }\href
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{http://arxiv.org/abs/1809.05519} {\ (\bibinfo {year} {2018})},\ \Eprint
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{http://arxiv.org/abs/1809.05519} {arXiv:1809.05519} \BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Lian}\ \emph {et~al.}(2019)\citenamefont {Lian},
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\citenamefont {Wang}, \citenamefont {Lu}, \citenamefont {Huang},
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\citenamefont {Wang}, \citenamefont {Yuan}, \citenamefont {Zhang},
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\citenamefont {Ouyang}, \citenamefont {Wang}, \citenamefont {Huang},
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\citenamefont {He}, \citenamefont {Chang}, \citenamefont {Deng},\ and\
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\citenamefont {Duan}}]{PhysRevLett.122.210503}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Wenqian}\ \bibnamefont
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{Lian}}, \bibinfo {author} {\bibfnamefont {Sheng-Tao}\ \bibnamefont {Wang}},
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\bibinfo {author} {\bibfnamefont {Sirui}\ \bibnamefont {Lu}}, \bibinfo
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{author} {\bibfnamefont {Yuanyuan}\ \bibnamefont {Huang}}, \bibinfo {author}
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{\bibfnamefont {Fei}\ \bibnamefont {Wang}}, \bibinfo {author} {\bibfnamefont
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{Xinxing}\ \bibnamefont {Yuan}}, \bibinfo {author} {\bibfnamefont {Wengang}\
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\bibnamefont {Zhang}}, \bibinfo {author} {\bibfnamefont {Xiaolong}\
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\bibnamefont {Ouyang}}, \bibinfo {author} {\bibfnamefont {Xin}\ \bibnamefont
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{Wang}}, \bibinfo {author} {\bibfnamefont {Xianzhi}\ \bibnamefont {Huang}},
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\bibinfo {author} {\bibfnamefont {Li}~\bibnamefont {He}}, \bibinfo {author}
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{\bibfnamefont {Xiuying}\ \bibnamefont {Chang}}, \bibinfo {author}
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{\bibfnamefont {Dong-Ling}\ \bibnamefont {Deng}}, \ and\ \bibinfo {author}
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{\bibfnamefont {Luming}\ \bibnamefont {Duan}},\ }\bibfield {title} {\enquote
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{\bibinfo {title} {Machine learning topological phases with a solid-state
|
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quantum simulator},}\ }\href {\doibase 10.1103/PhysRevLett.122.210503}
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{\bibfield {journal} {\bibinfo {journal} {Phys. Rev. Lett.}\ }\textbf
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{\bibinfo {volume} {122}},\ \bibinfo {pages} {210503} (\bibinfo {year}
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{2019})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Huang}\ and\ \citenamefont {Wang}(2017)}]{huang2017}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Li}~\bibnamefont
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{Huang}}\ and\ \bibinfo {author} {\bibfnamefont {Lei}\ \bibnamefont {Wang}},\
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}\bibfield {title} {\enquote {\bibinfo {title} {Accelerated monte carlo
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simulations with restricted boltzmann machines},}\ }\href {\doibase
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10.1103/PhysRevB.95.035105} {\bibfield {journal} {\bibinfo {journal} {Phys.
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Rev. B}\ }\textbf {\bibinfo {volume} {95}},\ \bibinfo {pages} {035105}
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(\bibinfo {year} {2017})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Liu}\ \emph {et~al.}(2017)\citenamefont {Liu},
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\citenamefont {Qi}, \citenamefont {Meng},\ and\ \citenamefont
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{Fu}}]{junwei2017}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Junwei}\ \bibnamefont
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{Liu}}, \bibinfo {author} {\bibfnamefont {Yang}\ \bibnamefont {Qi}}, \bibinfo
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{author} {\bibfnamefont {Zi~Yang}\ \bibnamefont {Meng}}, \ and\ \bibinfo
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{author} {\bibfnamefont {Liang}\ \bibnamefont {Fu}},\ }\bibfield {title}
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{\enquote {\bibinfo {title} {Self-learning monte carlo method},}\ }\href
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{\doibase 10.1103/PhysRevB.95.041101} {\bibfield {journal} {\bibinfo
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{journal} {Phys. Rev. B}\ }\textbf {\bibinfo {volume} {95}},\ \bibinfo
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{pages} {041101} (\bibinfo {year} {2017})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Xu}\ \emph {et~al.}(2017)\citenamefont {Xu},
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\citenamefont {Qi}, \citenamefont {Liu}, \citenamefont {Fu},\ and\
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\citenamefont {Meng}}]{xiao_yan2017}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Xiao~Yan}\
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\bibnamefont {Xu}}, \bibinfo {author} {\bibfnamefont {Yang}\ \bibnamefont
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{Qi}}, \bibinfo {author} {\bibfnamefont {Junwei}\ \bibnamefont {Liu}},
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\bibinfo {author} {\bibfnamefont {Liang}\ \bibnamefont {Fu}}, \ and\ \bibinfo
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{author} {\bibfnamefont {Zi~Yang}\ \bibnamefont {Meng}},\ }\bibfield {title}
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{\enquote {\bibinfo {title} {Self-learning quantum monte carlo method in
|
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interacting fermion systems},}\ }\href {\doibase 10.1103/PhysRevB.96.041119}
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{\bibfield {journal} {\bibinfo {journal} {Phys. Rev. B}\ }\textbf {\bibinfo
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{volume} {96}},\ \bibinfo {pages} {041119} (\bibinfo {year}
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{2017})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Inack}\ \emph {et~al.}(2018)\citenamefont {Inack},
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\citenamefont {Santoro}, \citenamefont {Dell'Anna},\ and\ \citenamefont
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{Pilati}}]{inack2018}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {E.~M.}\ \bibnamefont
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{Inack}}, \bibinfo {author} {\bibfnamefont {G.~E.}\ \bibnamefont {Santoro}},
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\bibinfo {author} {\bibfnamefont {L.}~\bibnamefont {Dell'Anna}}, \ and\
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\bibinfo {author} {\bibfnamefont {S.}~\bibnamefont {Pilati}},\ }\bibfield
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{title} {\enquote {\bibinfo {title} {Projective quantum monte carlo
|
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simulations guided by unrestricted neural network states},}\ }\href {\doibase
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10.1103/PhysRevB.98.235145} {\bibfield {journal} {\bibinfo {journal} {Phys.
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Rev. B}\ }\textbf {\bibinfo {volume} {98}},\ \bibinfo {pages} {235145}
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(\bibinfo {year} {2018})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Parolini}\ \emph {et~al.}(2019)\citenamefont
|
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{Parolini}, \citenamefont {Inack}, \citenamefont {Giudici},\ and\
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\citenamefont {Pilati}}]{parolini2019}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {T.}~\bibnamefont
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{Parolini}}, \bibinfo {author} {\bibfnamefont {E.~M.}\ \bibnamefont {Inack}},
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\bibinfo {author} {\bibfnamefont {G.}~\bibnamefont {Giudici}}, \ and\
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\bibinfo {author} {\bibfnamefont {S.}~\bibnamefont {Pilati}},\ }\bibfield
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{title} {\enquote {\bibinfo {title} {Tunneling in projective quantum monte
|
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carlo simulations with guiding wave functions},}\ }\href {\doibase
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10.1103/PhysRevB.100.214303} {\bibfield {journal} {\bibinfo {journal}
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{Phys. Rev. B}\ }\textbf {\bibinfo {volume} {100}},\ \bibinfo {pages}
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{214303} (\bibinfo {year} {2019})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Pilati}\ \emph {et~al.}(2019)\citenamefont {Pilati},
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\citenamefont {Inack},\ and\ \citenamefont {Pieri}}]{pilati2019}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {S.}~\bibnamefont
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{Pilati}}, \bibinfo {author} {\bibfnamefont {E.~M.}\ \bibnamefont {Inack}}, \
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and\ \bibinfo {author} {\bibfnamefont {P.}~\bibnamefont {Pieri}},\ }\bibfield
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{title} {\enquote {\bibinfo {title} {Self-learning projective quantum monte
|
|
carlo simulations guided by restricted boltzmann machines},}\ }\href
|
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{\doibase 10.1103/PhysRevE.100.043301} {\bibfield {journal} {\bibinfo
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{journal} {Phys. Rev. E}\ }\textbf {\bibinfo {volume} {100}},\ \bibinfo
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{pages} {043301} (\bibinfo {year} {2019})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {McNaughton}\ \emph {et~al.}(2020)\citenamefont
|
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{McNaughton}, \citenamefont {Milo\ifmmode \check{s}\else
|
|
\v{s}\fi{}evi\ifmmode~\acute{c}\else \'{c}\fi{}}, \citenamefont {Perali},\
|
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and\ \citenamefont {Pilati}}]{mcnaughton2020}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {B.}~\bibnamefont
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{McNaughton}}, \bibinfo {author} {\bibfnamefont {M.~V.}\ \bibnamefont
|
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{Milo\ifmmode \check{s}\else \v{s}\fi{}evi\ifmmode~\acute{c}\else
|
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\'{c}\fi{}}}, \bibinfo {author} {\bibfnamefont {A.}~\bibnamefont {Perali}}, \
|
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and\ \bibinfo {author} {\bibfnamefont {S.}~\bibnamefont {Pilati}},\
|
|
}\bibfield {title} {\enquote {\bibinfo {title} {Boosting monte carlo
|
|
simulations of spin glasses using autoregressive neural networks},}\ }\href
|
|
{\doibase 10.1103/PhysRevE.101.053312} {\bibfield {journal} {\bibinfo
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{journal} {Phys. Rev. E}\ }\textbf {\bibinfo {volume} {101}},\ \bibinfo
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{pages} {053312} (\bibinfo {year} {2020})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Albergo}\ \emph {et~al.}(2019)\citenamefont
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{Albergo}, \citenamefont {Kanwar},\ and\ \citenamefont
|
|
{Shanahan}}]{albergo2019}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {M.~S.}\ \bibnamefont
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{Albergo}}, \bibinfo {author} {\bibfnamefont {G.}~\bibnamefont {Kanwar}}, \
|
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and\ \bibinfo {author} {\bibfnamefont {P.~E.}\ \bibnamefont {Shanahan}},\
|
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}\bibfield {title} {\enquote {\bibinfo {title} {Flow-based generative models
|
|
for markov chain monte carlo in lattice field theory},}\ }\href {\doibase
|
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10.1103/PhysRevD.100.034515} {\bibfield {journal} {\bibinfo {journal}
|
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{Phys. Rev. D}\ }\textbf {\bibinfo {volume} {100}},\ \bibinfo {pages}
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{034515} (\bibinfo {year} {2019})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Wu}\ \emph {et~al.}(2019)\citenamefont {Wu},
|
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\citenamefont {Wang},\ and\ \citenamefont {Zhang}}]{Wu_2019}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Dian}\ \bibnamefont
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{Wu}}, \bibinfo {author} {\bibfnamefont {Lei}\ \bibnamefont {Wang}}, \ and\
|
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\bibinfo {author} {\bibfnamefont {Pan}\ \bibnamefont {Zhang}},\ }\bibfield
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|
{title} {\enquote {\bibinfo {title} {Solving statistical mechanics using
|
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variational autoregressive networks},}\ }\href {\doibase
|
|
10.1103/PhysRevLett.122.080602} {\bibfield {journal} {\bibinfo {journal}
|
|
{Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {122}},\ \bibinfo {pages}
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{080602} (\bibinfo {year} {2019})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Androsiuk}\ \emph {et~al.}(1993)\citenamefont
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{Androsiuk}, \citenamefont {Kulak},\ and\ \citenamefont
|
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{Sienicki}}]{androsiuk1993}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {J.}~\bibnamefont
|
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{Androsiuk}}, \bibinfo {author} {\bibfnamefont {L.}~\bibnamefont {Kulak}}, \
|
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and\ \bibinfo {author} {\bibfnamefont {K.}~\bibnamefont {Sienicki}},\
|
|
}\bibfield {title} {\enquote {\bibinfo {title} {Neural network solution of
|
|
the schroedinger equation for a two-dimensional harmonic oscillator},}\
|
|
}\href {\doibase https://doi.org/10.1016/0301-0104(93)80153-Z} {\bibfield
|
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{journal} {\bibinfo {journal} {Chemical Physics}\ }\textbf {\bibinfo
|
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{volume} {173}},\ \bibinfo {pages} {377 -- 383} (\bibinfo {year}
|
|
{1993})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {{Lagaris}}\ \emph {et~al.}(1998)\citenamefont
|
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{{Lagaris}}, \citenamefont {{Likas}},\ and\ \citenamefont
|
|
{{Fotiadis}}}]{LAGARIS19971}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {I.~E.}\ \bibnamefont
|
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{{Lagaris}}}, \bibinfo {author} {\bibfnamefont {A.}~\bibnamefont {{Likas}}},
|
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\ and\ \bibinfo {author} {\bibfnamefont {D.~I.}\ \bibnamefont {{Fotiadis}}},\
|
|
}\bibfield {title} {\enquote {\bibinfo {title} {Artificial neural networks
|
|
for solving ordinary and partial differential equations},}\ }\href {\doibase
|
|
10.1109/72.712178} {\bibfield {journal} {\bibinfo {journal} {IEEE
|
|
Transactions on Neural Networks}\ }\textbf {\bibinfo {volume} {9}},\ \bibinfo
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{pages} {987--1000} (\bibinfo {year} {1998})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Carleo}\ and\ \citenamefont
|
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{Troyer}(2017)}]{Carleo_2017}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Giuseppe}\
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\bibnamefont {Carleo}}\ and\ \bibinfo {author} {\bibfnamefont {Matthias}\
|
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\bibnamefont {Troyer}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
|
{Solving the quantum many-body problem with artificial neural networks},}\
|
|
}\href {\doibase 10.1126/science.aag2302} {\bibfield {journal} {\bibinfo
|
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{journal} {Science}\ }\textbf {\bibinfo {volume} {355}},\ \bibinfo {pages}
|
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{602--606} (\bibinfo {year} {2017})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Cai}\ and\ \citenamefont {Liu}(2018)}]{zi2018}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Zi}~\bibnamefont
|
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{Cai}}\ and\ \bibinfo {author} {\bibfnamefont {Jinguo}\ \bibnamefont {Liu}},\
|
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}\bibfield {title} {\enquote {\bibinfo {title} {Approximating quantum
|
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many-body wave functions using artificial neural networks},}\ }\href
|
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{\doibase 10.1103/PhysRevB.97.035116} {\bibfield {journal} {\bibinfo
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{journal} {Phys. Rev. B}\ }\textbf {\bibinfo {volume} {97}},\ \bibinfo
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{pages} {035116} (\bibinfo {year} {2018})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Luo}\ and\ \citenamefont {Clark}(2019)}]{Di_Luo}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Di}~\bibnamefont
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{Luo}}\ and\ \bibinfo {author} {\bibfnamefont {Bryan~K.}\ \bibnamefont
|
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{Clark}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Backflow
|
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transformations via neural networks for quantum many-body wave functions},}\
|
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}\href {\doibase 10.1103/PhysRevLett.122.226401} {\bibfield {journal}
|
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{\bibinfo {journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {122}},\
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\bibinfo {pages} {226401} (\bibinfo {year} {2019})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Pfau}\ \emph {et~al.}(2020)\citenamefont {Pfau},
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\citenamefont {Spencer}, \citenamefont {Matthews},\ and\ \citenamefont
|
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{Foulkes}}]{pfau2019abinitio}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {David}\ \bibnamefont
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{Pfau}}, \bibinfo {author} {\bibfnamefont {James~S.}\ \bibnamefont
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{Spencer}}, \bibinfo {author} {\bibfnamefont {Alexander G. D.~G.}\
|
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\bibnamefont {Matthews}}, \ and\ \bibinfo {author} {\bibfnamefont {W.~M.~C.}\
|
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\bibnamefont {Foulkes}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Ab
|
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initio solution of the many-electron schr\"odinger equation with deep neural
|
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networks},}\ }\href {\doibase 10.1103/PhysRevResearch.2.033429} {\bibfield
|
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{journal} {\bibinfo {journal} {Phys. Rev. Research}\ }\textbf {\bibinfo
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{volume} {2}},\ \bibinfo {pages} {033429} (\bibinfo {year}
|
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{2020})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Hermann}\ \emph {et~al.}(2020)\citenamefont
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{Hermann}, \citenamefont {Schätzle},\ and\ \citenamefont
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{Noé}}]{hermann2019deep}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Jan}\ \bibnamefont
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{Hermann}}, \bibinfo {author} {\bibfnamefont {Zeno}\ \bibnamefont
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{Schätzle}}, \ and\ \bibinfo {author} {\bibfnamefont {Frank}\ \bibnamefont
|
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{Noé}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
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{Deep-neural-network solution of the electronic {Schrödinger} equation},}\
|
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}\href {\doibase 10.1038/s41557-020-0544-y} {\bibfield {journal} {\bibinfo
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{journal} {Nature Chemistry}\ }\textbf {\bibinfo {volume} {12}},\ \bibinfo
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{pages} {891--897} (\bibinfo {year} {2020})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Hartmann}\ and\ \citenamefont
|
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{Carleo}(2019)}]{PhysRevLett.122.250502}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Michael~J.}\
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\bibnamefont {Hartmann}}\ and\ \bibinfo {author} {\bibfnamefont {Giuseppe}\
|
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\bibnamefont {Carleo}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
|
{Neural-network approach to dissipative quantum many-body dynamics},}\ }\href
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{\doibase 10.1103/PhysRevLett.122.250502} {\bibfield {journal} {\bibinfo
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{journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {122}},\ \bibinfo
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{pages} {250502} (\bibinfo {year} {2019})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Nagy}\ and\ \citenamefont
|
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{Savona}(2019)}]{PhysRevLett.122.250501}%
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Alexandra}\
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\bibnamefont {Nagy}}\ and\ \bibinfo {author} {\bibfnamefont {Vincenzo}\
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\bibnamefont {Savona}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
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{Variational quantum monte carlo method with a neural-network ansatz for open
|
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quantum systems},}\ }\href {\doibase 10.1103/PhysRevLett.122.250501}
|
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{\bibfield {journal} {\bibinfo {journal} {Phys. Rev. Lett.}\ }\textbf
|
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{\bibinfo {volume} {122}},\ \bibinfo {pages} {250501} (\bibinfo {year}
|
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{2019})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Vicentini}\ \emph {et~al.}(2019)\citenamefont
|
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{Vicentini}, \citenamefont {Biella}, \citenamefont {Regnault},\ and\
|
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\citenamefont {Ciuti}}]{PhysRevLett.122.250503}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Filippo}\ \bibnamefont
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{Vicentini}}, \bibinfo {author} {\bibfnamefont {Alberto}\ \bibnamefont
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{Biella}}, \bibinfo {author} {\bibfnamefont {Nicolas}\ \bibnamefont
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{Regnault}}, \ and\ \bibinfo {author} {\bibfnamefont {Cristiano}\
|
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\bibnamefont {Ciuti}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
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{Variational neural-network ansatz for steady states in open quantum
|
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systems},}\ }\href {\doibase 10.1103/PhysRevLett.122.250503} {\bibfield
|
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{journal} {\bibinfo {journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo
|
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{volume} {122}},\ \bibinfo {pages} {250503} (\bibinfo {year}
|
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{2019})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Yoshioka}\ and\ \citenamefont
|
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{Hamazaki}(2019)}]{PhysRevB.99.214306}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Nobuyuki}\
|
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\bibnamefont {Yoshioka}}\ and\ \bibinfo {author} {\bibfnamefont {Ryusuke}\
|
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\bibnamefont {Hamazaki}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
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{Constructing neural stationary states for open quantum many-body systems},}\
|
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}\href {\doibase 10.1103/PhysRevB.99.214306} {\bibfield {journal} {\bibinfo
|
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{journal} {Phys. Rev. B}\ }\textbf {\bibinfo {volume} {99}},\ \bibinfo
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{pages} {214306} (\bibinfo {year} {2019})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Choo}\ \emph {et~al.}(2020)\citenamefont {Choo},
|
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\citenamefont {Mezzacapo},\ and\ \citenamefont
|
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{Carleo}}]{choo_fermionicnqs2020}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Kenny}\ \bibnamefont
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{Choo}}, \bibinfo {author} {\bibfnamefont {Antonio}\ \bibnamefont
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{Mezzacapo}}, \ and\ \bibinfo {author} {\bibfnamefont {Giuseppe}\
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\bibnamefont {Carleo}},\ }\bibfield {title} {\enquote {\bibinfo {title}
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{Fermionic neural-network states for ab-initio electronic structure},}\
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}\href {\doibase 10.1038/s41467-020-15724-9} {\bibfield {journal} {\bibinfo
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{journal} {Nature Communications}\ }\textbf {\bibinfo {volume} {11}},\
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\bibinfo {pages} {2368} (\bibinfo {year} {2020})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Sharir}\ \emph {et~al.}(2020)\citenamefont {Sharir},
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\citenamefont {Levine}, \citenamefont {Wies}, \citenamefont {Carleo},\ and\
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\citenamefont {Shashua}}]{PhysRevLett.124.020503}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Or}~\bibnamefont
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{Sharir}}, \bibinfo {author} {\bibfnamefont {Yoav}\ \bibnamefont {Levine}},
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\bibinfo {author} {\bibfnamefont {Noam}\ \bibnamefont {Wies}}, \bibinfo
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{author} {\bibfnamefont {Giuseppe}\ \bibnamefont {Carleo}}, \ and\ \bibinfo
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{author} {\bibfnamefont {Amnon}\ \bibnamefont {Shashua}},\ }\bibfield
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{title} {\enquote {\bibinfo {title} {Deep autoregressive models for the
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efficient variational simulation of many-body quantum systems},}\ }\href
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{\doibase 10.1103/PhysRevLett.124.020503} {\bibfield {journal} {\bibinfo
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{journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {124}},\ \bibinfo
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{pages} {020503} (\bibinfo {year} {2020})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Hibat-Allah}\ \emph {et~al.}(2020)\citenamefont
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{Hibat-Allah}, \citenamefont {Ganahl}, \citenamefont {Hayward}, \citenamefont
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{Melko},\ and\ \citenamefont {Carrasquilla}}]{RNNWF_2020}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Mohamed}\ \bibnamefont
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{Hibat-Allah}}, \bibinfo {author} {\bibfnamefont {Martin}\ \bibnamefont
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{Ganahl}}, \bibinfo {author} {\bibfnamefont {Lauren~E.}\ \bibnamefont
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{Hayward}}, \bibinfo {author} {\bibfnamefont {Roger~G.}\ \bibnamefont
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{Melko}}, \ and\ \bibinfo {author} {\bibfnamefont {Juan}\ \bibnamefont
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{Carrasquilla}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Recurrent
|
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neural network wave functions},}\ }\href {\doibase
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10.1103/PhysRevResearch.2.023358} {\bibfield {journal} {\bibinfo {journal}
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{Phys. Rev. Research}\ }\textbf {\bibinfo {volume} {2}},\ \bibinfo {pages}
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{023358} (\bibinfo {year} {2020})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {{Roth}}(2020)}]{roth2020iterative}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Christopher}\
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\bibnamefont {{Roth}}},\ }\bibfield {title} {\enquote {\bibinfo {title}
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{{Iterative Retraining of Quantum Spin Models Using Recurrent Neural
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Networks}},}\ }\href@noop {} {\bibfield {journal} {\bibinfo {journal}
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{arXiv e-prints}\ ,\ \bibinfo {eid} {arXiv:2003.06228}} (\bibinfo {year}
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{2020})},\ \Eprint {http://arxiv.org/abs/2003.06228} {arXiv:2003.06228
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[physics.comp-ph]} \BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Bukov}\ \emph
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{et~al.}(2018{\natexlab{a}})\citenamefont {Bukov}, \citenamefont {Day},
|
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\citenamefont {Sels}, \citenamefont {Weinberg}, \citenamefont {Polkovnikov},\
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and\ \citenamefont {Mehta}}]{PhysRevX.8.031086}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Marin}\ \bibnamefont
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{Bukov}}, \bibinfo {author} {\bibfnamefont {Alexandre G.~R.}\ \bibnamefont
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{Day}}, \bibinfo {author} {\bibfnamefont {Dries}\ \bibnamefont {Sels}},
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\bibinfo {author} {\bibfnamefont {Phillip}\ \bibnamefont {Weinberg}},
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\bibinfo {author} {\bibfnamefont {Anatoli}\ \bibnamefont {Polkovnikov}}, \
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and\ \bibinfo {author} {\bibfnamefont {Pankaj}\ \bibnamefont {Mehta}},\
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}\bibfield {title} {\enquote {\bibinfo {title} {Reinforcement learning in
|
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different phases of quantum control},}\ }\href {\doibase
|
|
10.1103/PhysRevX.8.031086} {\bibfield {journal} {\bibinfo {journal} {Phys.
|
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Rev. X}\ }\textbf {\bibinfo {volume} {8}},\ \bibinfo {pages} {031086}
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(\bibinfo {year} {2018}{\natexlab{a}})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {F\"osel}\ \emph {et~al.}(2018)\citenamefont
|
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{F\"osel}, \citenamefont {Tighineanu}, \citenamefont {Weiss},\ and\
|
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\citenamefont {Marquardt}}]{PhysRevX.8.031084}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Thomas}\ \bibnamefont
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{F\"osel}}, \bibinfo {author} {\bibfnamefont {Petru}\ \bibnamefont
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{Tighineanu}}, \bibinfo {author} {\bibfnamefont {Talitha}\ \bibnamefont
|
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{Weiss}}, \ and\ \bibinfo {author} {\bibfnamefont {Florian}\ \bibnamefont
|
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{Marquardt}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Reinforcement
|
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learning with neural networks for quantum feedback},}\ }\href {\doibase
|
|
10.1103/PhysRevX.8.031084} {\bibfield {journal} {\bibinfo {journal} {Phys.
|
|
Rev. X}\ }\textbf {\bibinfo {volume} {8}},\ \bibinfo {pages} {031084}
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(\bibinfo {year} {2018})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Day}\ \emph {et~al.}(2019)\citenamefont {Day},
|
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\citenamefont {Bukov}, \citenamefont {Weinberg}, \citenamefont {Mehta},\ and\
|
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\citenamefont {Sels}}]{PhysRevLett.122.020601}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Alexandre G.~R.}\
|
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\bibnamefont {Day}}, \bibinfo {author} {\bibfnamefont {Marin}\ \bibnamefont
|
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{Bukov}}, \bibinfo {author} {\bibfnamefont {Phillip}\ \bibnamefont
|
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{Weinberg}}, \bibinfo {author} {\bibfnamefont {Pankaj}\ \bibnamefont
|
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{Mehta}}, \ and\ \bibinfo {author} {\bibfnamefont {Dries}\ \bibnamefont
|
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{Sels}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Glassy phase of
|
|
optimal quantum control},}\ }\href {\doibase 10.1103/PhysRevLett.122.020601}
|
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{\bibfield {journal} {\bibinfo {journal} {Phys. Rev. Lett.}\ }\textbf
|
|
{\bibinfo {volume} {122}},\ \bibinfo {pages} {020601} (\bibinfo {year}
|
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{2019})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Niu}\ \emph {et~al.}(2019)\citenamefont {Niu},
|
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\citenamefont {Boixo}, \citenamefont {Smelyanskiy},\ and\ \citenamefont
|
|
{Neven}}]{niu_universal_2019}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Murphy~Yuezhen}\
|
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\bibnamefont {Niu}}, \bibinfo {author} {\bibfnamefont {Sergio}\ \bibnamefont
|
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{Boixo}}, \bibinfo {author} {\bibfnamefont {Vadim~N.}\ \bibnamefont
|
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{Smelyanskiy}}, \ and\ \bibinfo {author} {\bibfnamefont {Hartmut}\
|
|
\bibnamefont {Neven}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
|
{Universal quantum control through deep reinforcement learning},}\ }\href
|
|
{\doibase 10.1038/s41534-019-0141-3} {\bibfield {journal} {\bibinfo
|
|
{journal} {npj Quantum Information}\ }\textbf {\bibinfo {volume} {5}},\
|
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\bibinfo {pages} {1--8} (\bibinfo {year} {2019})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {{Yao}}\ \emph {et~al.}(2020)\citenamefont {{Yao}},
|
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\citenamefont {{Lin}},\ and\ \citenamefont {{Bukov}}}]{2020arXiv201003655Y}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Jiahao}\ \bibnamefont
|
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{{Yao}}}, \bibinfo {author} {\bibfnamefont {Lin}\ \bibnamefont {{Lin}}}, \
|
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and\ \bibinfo {author} {\bibfnamefont {Marin}\ \bibnamefont {{Bukov}}},\
|
|
}\bibfield {title} {\enquote {\bibinfo {title} {{Reinforcement Learning for
|
|
Many-Body Ground State Preparation based on Counter-Diabatic Driving}},}\
|
|
}\href@noop {} {\bibfield {journal} {\bibinfo {journal} {arXiv e-prints}\
|
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,\ \bibinfo {eid} {arXiv:2010.03655}} (\bibinfo {year} {2020})},\ \Eprint
|
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{http://arxiv.org/abs/2010.03655} {arXiv:2010.03655 [quant-ph]} \BibitemShut
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{NoStop}%
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\bibitem [{\citenamefont {Coopmans}\ \emph {et~al.}(2020)\citenamefont
|
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{Coopmans}, \citenamefont {Luo}, \citenamefont {Kells}, \citenamefont
|
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{Clark},\ and\ \citenamefont {Carrasquilla}}]{coopmans2020}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Luuk}\ \bibnamefont
|
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{Coopmans}}, \bibinfo {author} {\bibfnamefont {Di}~\bibnamefont {Luo}},
|
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\bibinfo {author} {\bibfnamefont {Graham}\ \bibnamefont {Kells}}, \bibinfo
|
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{author} {\bibfnamefont {Bryan~K.}\ \bibnamefont {Clark}}, \ and\ \bibinfo
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{author} {\bibfnamefont {Juan}\ \bibnamefont {Carrasquilla}},\ }\bibfield
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{title} {\enquote {\bibinfo {title} {Protocol {{Discovery}} for the {{Quantum
|
|
Control}} of {{Majoranas}} by {{Differential Programming}} and {{Natural
|
|
Evolution Strategies}}},}\ }\href@noop {} {\bibfield {journal} {\bibinfo
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{journal} {arXiv:2008.09128 [cond-mat, physics:physics, physics:quant-ph]}\ }
|
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(\bibinfo {year} {2020})},\ \Eprint {http://arxiv.org/abs/2008.09128}
|
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{arXiv:2008.09128 [cond-mat, physics:physics, physics:quant-ph]} \BibitemShut
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{NoStop}%
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\bibitem [{\citenamefont {Torlai}\ \emph {et~al.}(2018)\citenamefont {Torlai},
|
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\citenamefont {Mazzola}, \citenamefont {Carrasquilla}, \citenamefont
|
|
{Troyer}, \citenamefont {Melko},\ and\ \citenamefont {Carleo}}]{torlai_Tomo}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Giacomo}\ \bibnamefont
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{Torlai}}, \bibinfo {author} {\bibfnamefont {Guglielmo}\ \bibnamefont
|
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{Mazzola}}, \bibinfo {author} {\bibfnamefont {Juan}\ \bibnamefont
|
|
{Carrasquilla}}, \bibinfo {author} {\bibfnamefont {Matthias}\ \bibnamefont
|
|
{Troyer}}, \bibinfo {author} {\bibfnamefont {Roger}\ \bibnamefont {Melko}}, \
|
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and\ \bibinfo {author} {\bibfnamefont {Giuseppe}\ \bibnamefont {Carleo}},\
|
|
}\bibfield {title} {\enquote {\bibinfo {title} {Neural-network quantum state
|
|
tomography},}\ }\href {\doibase 10.1038/s41567-018-0048-5} {\bibfield
|
|
{journal} {\bibinfo {journal} {Nature Physics}\ }\textbf {\bibinfo {volume}
|
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{14}},\ \bibinfo {pages} {447--450} (\bibinfo {year} {2018})}\BibitemShut
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{NoStop}%
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\bibitem [{\citenamefont {Rocchetto}\ \emph {et~al.}(2018)\citenamefont
|
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{Rocchetto}, \citenamefont {Grant}, \citenamefont {Strelchuk}, \citenamefont
|
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{Carleo},\ and\ \citenamefont {Severini}}]{rocchetto}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Andrea}\ \bibnamefont
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{Rocchetto}}, \bibinfo {author} {\bibfnamefont {Edward}\ \bibnamefont
|
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{Grant}}, \bibinfo {author} {\bibfnamefont {Sergii}\ \bibnamefont
|
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{Strelchuk}}, \bibinfo {author} {\bibfnamefont {Giuseppe}\ \bibnamefont
|
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{Carleo}}, \ and\ \bibinfo {author} {\bibfnamefont {Simone}\ \bibnamefont
|
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{Severini}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Learning hard
|
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quantum distributions with variational autoencoders},}\ }\href {\doibase
|
|
10.1038/s41534-018-0077-z} {\bibfield {journal} {\bibinfo {journal} {npj
|
|
Quantum Information}\ }\textbf {\bibinfo {volume} {4}},\ \bibinfo {pages}
|
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{28} (\bibinfo {year} {2018})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Torlai}\ and\ \citenamefont
|
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{Melko}(2018)}]{Torlai_latent}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Giacomo}\ \bibnamefont
|
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{Torlai}}\ and\ \bibinfo {author} {\bibfnamefont {Roger~G.}\ \bibnamefont
|
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{Melko}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Latent space
|
|
purification via neural density operators},}\ }\href {\doibase
|
|
10.1103/PhysRevLett.120.240503} {\bibfield {journal} {\bibinfo {journal}
|
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{Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {120}},\ \bibinfo {pages}
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{240503} (\bibinfo {year} {2018})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {{Quek}}\ \emph {et~al.}(2018)\citenamefont {{Quek}},
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\citenamefont {{Fort}},\ and\ \citenamefont {{Khoon
|
|
Ng}}}]{2018arXiv181206693Q}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Yihui}\ \bibnamefont
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{{Quek}}}, \bibinfo {author} {\bibfnamefont {Stanislav}\ \bibnamefont
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{{Fort}}}, \ and\ \bibinfo {author} {\bibfnamefont {Hui}\ \bibnamefont
|
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{{Khoon Ng}}},\ }\bibfield {title} {\enquote {\bibinfo {title} {{Adaptive
|
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Quantum State Tomography with Neural Networks}},}\ }\href@noop {} {\bibfield
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{journal} {\bibinfo {journal} {arXiv e-prints}\ ,\ \bibinfo {eid}
|
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{arXiv:1812.06693}} (\bibinfo {year} {2018})},\ \Eprint
|
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{http://arxiv.org/abs/1812.06693} {arXiv:1812.06693 [quant-ph]} \BibitemShut
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{NoStop}%
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\bibitem [{\citenamefont {Carrasquilla}\ \emph {et~al.}(2019)\citenamefont
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{Carrasquilla}, \citenamefont {Torlai}, \citenamefont {Melko},\ and\
|
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\citenamefont {Aolita}}]{carrasquilla_povm}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Juan}\ \bibnamefont
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{Carrasquilla}}, \bibinfo {author} {\bibfnamefont {Giacomo}\ \bibnamefont
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{Torlai}}, \bibinfo {author} {\bibfnamefont {Roger~G.}\ \bibnamefont
|
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{Melko}}, \ and\ \bibinfo {author} {\bibfnamefont {Leandro}\ \bibnamefont
|
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{Aolita}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Reconstructing
|
|
quantum states with generative models},}\ }\href {\doibase
|
|
10.1038/s42256-019-0028-1} {\bibfield {journal} {\bibinfo {journal} {Nature
|
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Machine Intelligence}\ }\textbf {\bibinfo {volume} {1}},\ \bibinfo {pages}
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{155--161} (\bibinfo {year} {2019})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Palmieri}\ \emph {et~al.}(2020)\citenamefont
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{Palmieri}, \citenamefont {Kovlakov}, \citenamefont {Bianchi}, \citenamefont
|
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{Yudin}, \citenamefont {Straupe}, \citenamefont {Biamonte},\ and\
|
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\citenamefont {Kulik}}]{biamonte_qst}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Adriano~Macarone}\
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\bibnamefont {Palmieri}}, \bibinfo {author} {\bibfnamefont {Egor}\
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\bibnamefont {Kovlakov}}, \bibinfo {author} {\bibfnamefont {Federico}\
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\bibnamefont {Bianchi}}, \bibinfo {author} {\bibfnamefont {Dmitry}\
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\bibnamefont {Yudin}}, \bibinfo {author} {\bibfnamefont {Stanislav}\
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\bibnamefont {Straupe}}, \bibinfo {author} {\bibfnamefont {Jacob~D.}\
|
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\bibnamefont {Biamonte}}, \ and\ \bibinfo {author} {\bibfnamefont {Sergei}\
|
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\bibnamefont {Kulik}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
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{Experimental neural network enhanced quantum tomography},}\ }\href {\doibase
|
|
10.1038/s41534-020-0248-6} {\bibfield {journal} {\bibinfo {journal} {npj
|
|
Quantum Information}\ }\textbf {\bibinfo {volume} {6}},\ \bibinfo {pages}
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{20} (\bibinfo {year} {2020})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Torlai}\ \emph {et~al.}(2019)\citenamefont {Torlai},
|
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\citenamefont {Timar}, \citenamefont {van Nieuwenburg}, \citenamefont
|
|
{Levine}, \citenamefont {Omran}, \citenamefont {Keesling}, \citenamefont
|
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{Bernien}, \citenamefont {Greiner}, \citenamefont
|
|
{Vuleti\ifmmode~\acute{c}\else \'{c}\fi{}}, \citenamefont {Lukin},
|
|
\citenamefont {Melko},\ and\ \citenamefont {Endres}}]{torlai_rydberg19}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Giacomo}\ \bibnamefont
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{Torlai}}, \bibinfo {author} {\bibfnamefont {Brian}\ \bibnamefont {Timar}},
|
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\bibinfo {author} {\bibfnamefont {Evert P.~L.}\ \bibnamefont {van
|
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Nieuwenburg}}, \bibinfo {author} {\bibfnamefont {Harry}\ \bibnamefont
|
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{Levine}}, \bibinfo {author} {\bibfnamefont {Ahmed}\ \bibnamefont {Omran}},
|
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\bibinfo {author} {\bibfnamefont {Alexander}\ \bibnamefont {Keesling}},
|
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\bibinfo {author} {\bibfnamefont {Hannes}\ \bibnamefont {Bernien}}, \bibinfo
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{author} {\bibfnamefont {Markus}\ \bibnamefont {Greiner}}, \bibinfo {author}
|
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{\bibfnamefont {Vladan}\ \bibnamefont {Vuleti\ifmmode~\acute{c}\else
|
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\'{c}\fi{}}}, \bibinfo {author} {\bibfnamefont {Mikhail~D.}\ \bibnamefont
|
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{Lukin}}, \bibinfo {author} {\bibfnamefont {Roger~G.}\ \bibnamefont {Melko}},
|
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\ and\ \bibinfo {author} {\bibfnamefont {Manuel}\ \bibnamefont {Endres}},\
|
|
}\bibfield {title} {\enquote {\bibinfo {title} {Integrating neural networks
|
|
with a quantum simulator for state reconstruction},}\ }\href {\doibase
|
|
10.1103/PhysRevLett.123.230504} {\bibfield {journal} {\bibinfo {journal}
|
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{Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {123}},\ \bibinfo {pages}
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{230504} (\bibinfo {year} {2019})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Xin}\ \emph {et~al.}(2019)\citenamefont {Xin},
|
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\citenamefont {Lu}, \citenamefont {Cao}, \citenamefont {Anikeeva},
|
|
\citenamefont {Lu}, \citenamefont {Li}, \citenamefont {Long},\ and\
|
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\citenamefont {Zeng}}]{xin_local-measurement-based_2019}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Tao}\ \bibnamefont
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{Xin}}, \bibinfo {author} {\bibfnamefont {Sirui}\ \bibnamefont {Lu}},
|
|
\bibinfo {author} {\bibfnamefont {Ningping}\ \bibnamefont {Cao}}, \bibinfo
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{author} {\bibfnamefont {Galit}\ \bibnamefont {Anikeeva}}, \bibinfo {author}
|
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{\bibfnamefont {Dawei}\ \bibnamefont {Lu}}, \bibinfo {author} {\bibfnamefont
|
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{Jun}\ \bibnamefont {Li}}, \bibinfo {author} {\bibfnamefont {Guilu}\
|
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\bibnamefont {Long}}, \ and\ \bibinfo {author} {\bibfnamefont {Bei}\
|
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\bibnamefont {Zeng}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
|
{Local-measurement-based quantum state tomography via neural networks},}\
|
|
}\href {\doibase 10.1038/s41534-019-0222-3} {\bibfield {journal} {\bibinfo
|
|
{journal} {npj Quantum Information}\ }\textbf {\bibinfo {volume} {5}},\
|
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\bibinfo {pages} {109} (\bibinfo {year} {2019})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Sehayek}\ \emph {et~al.}(2019)\citenamefont
|
|
{Sehayek}, \citenamefont {Golubeva}, \citenamefont {Albergo}, \citenamefont
|
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{Kulchytskyy}, \citenamefont {Torlai},\ and\ \citenamefont
|
|
{Melko}}]{Sehayek2019}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Dan}\ \bibnamefont
|
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{Sehayek}}, \bibinfo {author} {\bibfnamefont {Anna}\ \bibnamefont
|
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{Golubeva}}, \bibinfo {author} {\bibfnamefont {Michael~S.}\ \bibnamefont
|
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{Albergo}}, \bibinfo {author} {\bibfnamefont {Bohdan}\ \bibnamefont
|
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{Kulchytskyy}}, \bibinfo {author} {\bibfnamefont {Giacomo}\ \bibnamefont
|
|
{Torlai}}, \ and\ \bibinfo {author} {\bibfnamefont {Roger~G.}\ \bibnamefont
|
|
{Melko}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Learnability
|
|
scaling of quantum states: Restricted boltzmann machines},}\ }\href {\doibase
|
|
10.1103/PhysRevB.100.195125} {\bibfield {journal} {\bibinfo {journal}
|
|
{Phys. Rev. B}\ }\textbf {\bibinfo {volume} {100}},\ \bibinfo {pages}
|
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{195125} (\bibinfo {year} {2019})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Torlai}\ \emph {et~al.}(2020)\citenamefont {Torlai},
|
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\citenamefont {Mazzola}, \citenamefont {Carleo},\ and\ \citenamefont
|
|
{Mezzacapo}}]{torlai_chemistry}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Giacomo}\ \bibnamefont
|
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{Torlai}}, \bibinfo {author} {\bibfnamefont {Guglielmo}\ \bibnamefont
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{Mazzola}}, \bibinfo {author} {\bibfnamefont {Giuseppe}\ \bibnamefont
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{Carleo}}, \ and\ \bibinfo {author} {\bibfnamefont {Antonio}\ \bibnamefont
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{Mezzacapo}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Precise
|
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measurement of quantum observables with neural-network estimators},}\ }\href
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{\doibase 10.1103/PhysRevResearch.2.022060} {\bibfield {journal} {\bibinfo
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{journal} {Phys. Rev. Research}\ }\textbf {\bibinfo {volume} {2}},\ \bibinfo
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{pages} {022060} (\bibinfo {year} {2020})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Melkani}\ \emph {et~al.}(2020)\citenamefont
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{Melkani}, \citenamefont {Gneiting},\ and\ \citenamefont
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{Nori}}]{PhysRevA.102.022412}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Abhijeet}\
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\bibnamefont {Melkani}}, \bibinfo {author} {\bibfnamefont {Clemens}\
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\bibnamefont {Gneiting}}, \ and\ \bibinfo {author} {\bibfnamefont {Franco}\
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\bibnamefont {Nori}},\ }\bibfield {title} {\enquote {\bibinfo {title}
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{Eigenstate extraction with neural-network tomography},}\ }\href {\doibase
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10.1103/PhysRevA.102.022412} {\bibfield {journal} {\bibinfo {journal}
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{Phys. Rev. A}\ }\textbf {\bibinfo {volume} {102}},\ \bibinfo {pages}
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{022412} (\bibinfo {year} {2020})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {{Ahmed}}\ \emph {et~al.}(2020)\citenamefont
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{{Ahmed}}, \citenamefont {{S{\'a}nchez Mu{\~n}oz}}, \citenamefont {{Nori}},\
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and\ \citenamefont {{Frisk Kockum}}}]{NoriGAN}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Shahnawaz}\
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\bibnamefont {{Ahmed}}}, \bibinfo {author} {\bibfnamefont {Carlos}\
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\bibnamefont {{S{\'a}nchez Mu{\~n}oz}}}, \bibinfo {author} {\bibfnamefont
|
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{Franco}\ \bibnamefont {{Nori}}}, \ and\ \bibinfo {author} {\bibfnamefont
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{Anton}\ \bibnamefont {{Frisk Kockum}}},\ }\bibfield {title} {\enquote
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{\bibinfo {title} {{Quantum State Tomography with Conditional Generative
|
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Adversarial Networks}},}\ }\href@noop {} {\bibfield {journal} {\bibinfo
|
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{journal} {arXiv e-prints}\ ,\ \bibinfo {eid} {arXiv:2008.03240}} (\bibinfo
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{year} {2020})},\ \Eprint {http://arxiv.org/abs/2008.03240} {arXiv:2008.03240
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[quant-ph]} \BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Tiunov}\ \emph {et~al.}(2020)\citenamefont {Tiunov},
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\citenamefont {(Vyborova)}, \citenamefont {Ulanov}, \citenamefont {Lvovsky},\
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and\ \citenamefont {Fedorov}}]{Tiunov:20}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {E.~S.}\ \bibnamefont
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{Tiunov}}, \bibinfo {author} {\bibfnamefont {V.~V.~Tiunova}\ \bibnamefont
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{(Vyborova)}}, \bibinfo {author} {\bibfnamefont {A.~E.}\ \bibnamefont
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{Ulanov}}, \bibinfo {author} {\bibfnamefont {A.~I.}\ \bibnamefont {Lvovsky}},
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\ and\ \bibinfo {author} {\bibfnamefont {A.~K.}\ \bibnamefont {Fedorov}},\
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}\bibfield {title} {\enquote {\bibinfo {title} {Experimental quantum
|
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homodyne tomography via machine learning},}\ }\href {\doibase
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|
10.1364/OPTICA.389482} {\bibfield {journal} {\bibinfo {journal} {Optica}\
|
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}\textbf {\bibinfo {volume} {7}},\ \bibinfo {pages} {448--454} (\bibinfo
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{year} {2020})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {{Cha}}\ \emph {et~al.}(2020)\citenamefont {{Cha}},
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\citenamefont {{Ginsparg}}, \citenamefont {{Wu}}, \citenamefont
|
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{{Carrasquilla}}, \citenamefont {{McMahon}},\ and\ \citenamefont
|
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{{Kim}}}]{Cha2020}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Peter}\ \bibnamefont
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{{Cha}}}, \bibinfo {author} {\bibfnamefont {Paul}\ \bibnamefont
|
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{{Ginsparg}}}, \bibinfo {author} {\bibfnamefont {Felix}\ \bibnamefont
|
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{{Wu}}}, \bibinfo {author} {\bibfnamefont {Juan}\ \bibnamefont
|
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{{Carrasquilla}}}, \bibinfo {author} {\bibfnamefont {Peter~L.}\ \bibnamefont
|
|
{{McMahon}}}, \ and\ \bibinfo {author} {\bibfnamefont {Eun-Ah}\ \bibnamefont
|
|
{{Kim}}},\ }\bibfield {title} {\enquote {\bibinfo {title} {{Attention-based
|
|
Quantum Tomography}},}\ }\href@noop {} {\bibfield {journal} {\bibinfo
|
|
{journal} {arXiv e-prints}\ ,\ \bibinfo {eid} {arXiv:2006.12469}} (\bibinfo
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{year} {2020})},\ \Eprint {http://arxiv.org/abs/2006.12469} {arXiv:2006.12469
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[quant-ph]} \BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Neugebauer}\ \emph {et~al.}(2020)\citenamefont
|
|
{Neugebauer}, \citenamefont {Fischer}, \citenamefont {J\"ager}, \citenamefont
|
|
{Czischek}, \citenamefont {Jochim}, \citenamefont {Weidem\"uller},\ and\
|
|
\citenamefont {G\"arttner}}]{PhysRevA.102.042604}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Marcel}\ \bibnamefont
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{Neugebauer}}, \bibinfo {author} {\bibfnamefont {Laurin}\ \bibnamefont
|
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{Fischer}}, \bibinfo {author} {\bibfnamefont {Alexander}\ \bibnamefont
|
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{J\"ager}}, \bibinfo {author} {\bibfnamefont {Stefanie}\ \bibnamefont
|
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{Czischek}}, \bibinfo {author} {\bibfnamefont {Selim}\ \bibnamefont
|
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{Jochim}}, \bibinfo {author} {\bibfnamefont {Matthias}\ \bibnamefont
|
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{Weidem\"uller}}, \ and\ \bibinfo {author} {\bibfnamefont {Martin}\
|
|
\bibnamefont {G\"arttner}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
|
{Neural-network quantum state tomography in a two-qubit experiment},}\ }\href
|
|
{\doibase 10.1103/PhysRevA.102.042604} {\bibfield {journal} {\bibinfo
|
|
{journal} {Phys. Rev. A}\ }\textbf {\bibinfo {volume} {102}},\ \bibinfo
|
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{pages} {042604} (\bibinfo {year} {2020})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {De~Vlugt}\ \emph {et~al.}(2020)\citenamefont
|
|
{De~Vlugt}, \citenamefont {Iouchtchenko}, \citenamefont {Merali},
|
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\citenamefont {Roy},\ and\ \citenamefont {Melko}}]{DeVlugt2020}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Isaac J.~S.}\
|
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\bibnamefont {De~Vlugt}}, \bibinfo {author} {\bibfnamefont {Dmitri}\
|
|
\bibnamefont {Iouchtchenko}}, \bibinfo {author} {\bibfnamefont {Ejaaz}\
|
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\bibnamefont {Merali}}, \bibinfo {author} {\bibfnamefont {Pierre-Nicholas}\
|
|
\bibnamefont {Roy}}, \ and\ \bibinfo {author} {\bibfnamefont {Roger~G.}\
|
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\bibnamefont {Melko}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
|
{Reconstructing quantum molecular rotor ground states},}\ }\href {\doibase
|
|
10.1103/PhysRevB.102.035108} {\bibfield {journal} {\bibinfo {journal}
|
|
{Phys. Rev. B}\ }\textbf {\bibinfo {volume} {102}},\ \bibinfo {pages}
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{035108} (\bibinfo {year} {2020})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {{Smith}}\ \emph {et~al.}(2020)\citenamefont
|
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{{Smith}}, \citenamefont {{Gray}},\ and\ \citenamefont
|
|
{{Kim}}}]{2020arXiv200907601S}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Alistair W.~R.}\
|
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\bibnamefont {{Smith}}}, \bibinfo {author} {\bibfnamefont {Johnnie}\
|
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\bibnamefont {{Gray}}}, \ and\ \bibinfo {author} {\bibfnamefont {M.~S.}\
|
|
\bibnamefont {{Kim}}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
|
{{Efficient Approximate Quantum State Tomography with Basis Dependent
|
|
Neural-Networks}},}\ }\href@noop {} {\bibfield {journal} {\bibinfo
|
|
{journal} {arXiv e-prints}\ ,\ \bibinfo {eid} {arXiv:2009.07601}} (\bibinfo
|
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{year} {2020})},\ \Eprint {http://arxiv.org/abs/2009.07601} {arXiv:2009.07601
|
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[quant-ph]} \BibitemShut {NoStop}%
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\bibitem [{\citenamefont {{Torlai}}\ \emph {et~al.}(2020)\citenamefont
|
|
{{Torlai}}, \citenamefont {{Wood}}, \citenamefont {{Acharya}}, \citenamefont
|
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{{Carleo}}, \citenamefont {{Carrasquilla}},\ and\ \citenamefont
|
|
{{Aolita}}}]{torlai_QPT}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Giacomo}\ \bibnamefont
|
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{{Torlai}}}, \bibinfo {author} {\bibfnamefont {Christopher~J.}\ \bibnamefont
|
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{{Wood}}}, \bibinfo {author} {\bibfnamefont {Atithi}\ \bibnamefont
|
|
{{Acharya}}}, \bibinfo {author} {\bibfnamefont {Giuseppe}\ \bibnamefont
|
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{{Carleo}}}, \bibinfo {author} {\bibfnamefont {Juan}\ \bibnamefont
|
|
{{Carrasquilla}}}, \ and\ \bibinfo {author} {\bibfnamefont {Leandro}\
|
|
\bibnamefont {{Aolita}}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
|
{{Quantum process tomography with unsupervised learning and tensor
|
|
networks}},}\ }\href@noop {} {\bibfield {journal} {\bibinfo {journal}
|
|
{arXiv e-prints}\ ,\ \bibinfo {eid} {arXiv:2006.02424}} (\bibinfo {year}
|
|
{2020})},\ \Eprint {http://arxiv.org/abs/2006.02424} {arXiv:2006.02424
|
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[quant-ph]} \BibitemShut {NoStop}%
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\bibitem [{\citenamefont {{Morawetz}}\ \emph {et~al.}(2020)\citenamefont
|
|
{{Morawetz}}, \citenamefont {{De Vlugt}}, \citenamefont {{Carrasquilla}},\
|
|
and\ \citenamefont {{Melko}}}]{morawetz2020}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Stewart}\ \bibnamefont
|
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{{Morawetz}}}, \bibinfo {author} {\bibfnamefont {Isaac J.~S.}\ \bibnamefont
|
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{{De Vlugt}}}, \bibinfo {author} {\bibfnamefont {Juan}\ \bibnamefont
|
|
{{Carrasquilla}}}, \ and\ \bibinfo {author} {\bibfnamefont {Roger~G.}\
|
|
\bibnamefont {{Melko}}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
|
{{U(1) symmetric recurrent neural networks for quantum state
|
|
reconstruction}},}\ }\href@noop {} {\bibfield {journal} {\bibinfo {journal}
|
|
{arXiv e-prints}\ ,\ \bibinfo {eid} {arXiv:2010.14514}} (\bibinfo {year}
|
|
{2020})},\ \Eprint {http://arxiv.org/abs/2010.14514} {arXiv:2010.14514
|
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[quant-ph]} \BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Ahmed}\ \emph {et~al.}(2020)\citenamefont {Ahmed},
|
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\citenamefont {Munoz}, \citenamefont {Nori},\ and\ \citenamefont
|
|
{Kockum}}]{Nori2020}%
|
|
\BibitemOpen
|
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Shahnawaz}\
|
|
\bibnamefont {Ahmed}}, \bibinfo {author} {\bibfnamefont {Carlos~Sánchez}\
|
|
\bibnamefont {Munoz}}, \bibinfo {author} {\bibfnamefont {Franco}\
|
|
\bibnamefont {Nori}}, \ and\ \bibinfo {author} {\bibfnamefont {Anton~Frisk}\
|
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\bibnamefont {Kockum}},\ }\href@noop {} {\enquote {\bibinfo {title}
|
|
{Classification and reconstruction of optical quantum states with deep neural
|
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networks},}\ } (\bibinfo {year} {2020}),\ \Eprint
|
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{http://arxiv.org/abs/2012.02185} {arXiv:2012.02185 [quant-ph]} \BibitemShut
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{NoStop}%
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\bibitem [{\citenamefont {Snyder}\ \emph {et~al.}(2012)\citenamefont {Snyder},
|
|
\citenamefont {Rupp}, \citenamefont {Hansen}, \citenamefont {M\"uller},\ and\
|
|
\citenamefont {Burke}}]{PhysRevLett.108.253002}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {John~C.}\ \bibnamefont
|
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{Snyder}}, \bibinfo {author} {\bibfnamefont {Matthias}\ \bibnamefont {Rupp}},
|
|
\bibinfo {author} {\bibfnamefont {Katja}\ \bibnamefont {Hansen}}, \bibinfo
|
|
{author} {\bibfnamefont {Klaus-Robert}\ \bibnamefont {M\"uller}}, \ and\
|
|
\bibinfo {author} {\bibfnamefont {Kieron}\ \bibnamefont {Burke}},\ }\bibfield
|
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{title} {\enquote {\bibinfo {title} {Finding density functionals with
|
|
machine learning},}\ }\href {\doibase 10.1103/PhysRevLett.108.253002}
|
|
{\bibfield {journal} {\bibinfo {journal} {Phys. Rev. Lett.}\ }\textbf
|
|
{\bibinfo {volume} {108}},\ \bibinfo {pages} {253002} (\bibinfo {year}
|
|
{2012})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Snyder}\ \emph {et~al.}(2013)\citenamefont {Snyder},
|
|
\citenamefont {Rupp}, \citenamefont {Hansen}, \citenamefont {Blooston},
|
|
\citenamefont {Müller},\ and\ \citenamefont
|
|
{Burke}}]{doi:10.1063/1.4834075}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {John~C.}\ \bibnamefont
|
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{Snyder}}, \bibinfo {author} {\bibfnamefont {Matthias}\ \bibnamefont {Rupp}},
|
|
\bibinfo {author} {\bibfnamefont {Katja}\ \bibnamefont {Hansen}}, \bibinfo
|
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{author} {\bibfnamefont {Leo}\ \bibnamefont {Blooston}}, \bibinfo {author}
|
|
{\bibfnamefont {Klaus-Robert}\ \bibnamefont {Müller}}, \ and\ \bibinfo
|
|
{author} {\bibfnamefont {Kieron}\ \bibnamefont {Burke}},\ }\bibfield {title}
|
|
{\enquote {\bibinfo {title} {Orbital-free bond breaking via machine
|
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learning},}\ }\href {\doibase 10.1063/1.4834075} {\bibfield {journal}
|
|
{\bibinfo {journal} {The Journal of Chemical Physics}\ }\textbf {\bibinfo
|
|
{volume} {139}},\ \bibinfo {pages} {224104} (\bibinfo {year} {2013})},\
|
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\Eprint {http://arxiv.org/abs/https://doi.org/10.1063/1.4834075}
|
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{https://doi.org/10.1063/1.4834075} \BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Li}\ \emph {et~al.}(2016)\citenamefont {Li},
|
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\citenamefont {Baker}, \citenamefont {White},\ and\ \citenamefont
|
|
{Burke}}]{PhysRevB.94.245129}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Li}~\bibnamefont
|
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{Li}}, \bibinfo {author} {\bibfnamefont {Thomas~E.}\ \bibnamefont {Baker}},
|
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\bibinfo {author} {\bibfnamefont {Steven~R.}\ \bibnamefont {White}}, \ and\
|
|
\bibinfo {author} {\bibfnamefont {Kieron}\ \bibnamefont {Burke}},\ }\bibfield
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{title} {\enquote {\bibinfo {title} {Pure density functional for strong
|
|
correlation and the thermodynamic limit from machine learning},}\ }\href
|
|
{\doibase 10.1103/PhysRevB.94.245129} {\bibfield {journal} {\bibinfo
|
|
{journal} {Phys. Rev. B}\ }\textbf {\bibinfo {volume} {94}},\ \bibinfo
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{pages} {245129} (\bibinfo {year} {2016})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Brockherde}\ \emph {et~al.}(2017)\citenamefont
|
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{Brockherde}, \citenamefont {Vogt}, \citenamefont {Li}, \citenamefont
|
|
{Tuckerman}, \citenamefont {Burke},\ and\ \citenamefont
|
|
{Müller}}]{brockherde_bypassing_2017}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Felix}\ \bibnamefont
|
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{Brockherde}}, \bibinfo {author} {\bibfnamefont {Leslie}\ \bibnamefont
|
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{Vogt}}, \bibinfo {author} {\bibfnamefont {Li}~\bibnamefont {Li}}, \bibinfo
|
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{author} {\bibfnamefont {Mark~E.}\ \bibnamefont {Tuckerman}}, \bibinfo
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{author} {\bibfnamefont {Kieron}\ \bibnamefont {Burke}}, \ and\ \bibinfo
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{author} {\bibfnamefont {Klaus-Robert}\ \bibnamefont {Müller}},\ }\bibfield
|
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{title} {\enquote {\bibinfo {title} {Bypassing the {Kohn}-{Sham} equations
|
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with machine learning},}\ }\href {\doibase 10.1038/s41467-017-00839-3}
|
|
{\bibfield {journal} {\bibinfo {journal} {Nature Communications}\ }\textbf
|
|
{\bibinfo {volume} {8}},\ \bibinfo {pages} {872} (\bibinfo {year}
|
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{2017})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Ryczko}\ \emph {et~al.}(2019)\citenamefont {Ryczko},
|
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\citenamefont {Strubbe},\ and\ \citenamefont
|
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{Tamblyn}}]{PhysRevA.100.022512}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Kevin}\ \bibnamefont
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{Ryczko}}, \bibinfo {author} {\bibfnamefont {David~A.}\ \bibnamefont
|
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{Strubbe}}, \ and\ \bibinfo {author} {\bibfnamefont {Isaac}\ \bibnamefont
|
|
{Tamblyn}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Deep learning
|
|
and density-functional theory},}\ }\href {\doibase
|
|
10.1103/PhysRevA.100.022512} {\bibfield {journal} {\bibinfo {journal}
|
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{Phys. Rev. A}\ }\textbf {\bibinfo {volume} {100}},\ \bibinfo {pages}
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{022512} (\bibinfo {year} {2019})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Moreno}\ \emph {et~al.}(2020)\citenamefont {Moreno},
|
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\citenamefont {Carleo},\ and\ \citenamefont
|
|
{Georges}}]{PhysRevLett.125.076402}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Javier~Robledo}\
|
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\bibnamefont {Moreno}}, \bibinfo {author} {\bibfnamefont {Giuseppe}\
|
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\bibnamefont {Carleo}}, \ and\ \bibinfo {author} {\bibfnamefont {Antoine}\
|
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\bibnamefont {Georges}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
|
{Deep learning the hohenberg-kohn maps of density functional theory},}\
|
|
}\href {\doibase 10.1103/PhysRevLett.125.076402} {\bibfield {journal}
|
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{\bibinfo {journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {125}},\
|
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\bibinfo {pages} {076402} (\bibinfo {year} {2020})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Denner}\ \emph {et~al.}(2020)\citenamefont {Denner},
|
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\citenamefont {Fischer},\ and\ \citenamefont
|
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{Neupert}}]{PhysRevResearch.2.033388}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {M.~Michael}\
|
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\bibnamefont {Denner}}, \bibinfo {author} {\bibfnamefont {Mark~H.}\
|
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\bibnamefont {Fischer}}, \ and\ \bibinfo {author} {\bibfnamefont {Titus}\
|
|
\bibnamefont {Neupert}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
|
{Efficient learning of a one-dimensional density functional theory},}\ }\href
|
|
{\doibase 10.1103/PhysRevResearch.2.033388} {\bibfield {journal} {\bibinfo
|
|
{journal} {Phys. Rev. Research}\ }\textbf {\bibinfo {volume} {2}},\ \bibinfo
|
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{pages} {033388} (\bibinfo {year} {2020})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {{Mehta}}\ and\ \citenamefont
|
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{{Schwab}}(2014)}]{2014arXiv1410.3831M}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Pankaj}\ \bibnamefont
|
|
{{Mehta}}}\ and\ \bibinfo {author} {\bibfnamefont {David~J.}\ \bibnamefont
|
|
{{Schwab}}},\ }\bibfield {title} {\enquote {\bibinfo {title} {{An exact
|
|
mapping between the Variational Renormalization Group and Deep Learning}},}\
|
|
}\href@noop {} {\bibfield {journal} {\bibinfo {journal} {arXiv e-prints}\
|
|
,\ \bibinfo {eid} {arXiv:1410.3831}} (\bibinfo {year} {2014})},\ \Eprint
|
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{http://arxiv.org/abs/1410.3831} {arXiv:1410.3831 [stat.ML]} \BibitemShut
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{NoStop}%
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\bibitem [{\citenamefont {Koch-Janusz}\ and\ \citenamefont
|
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{Ringel}(2018)}]{koch-janusz_mutual_2018}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Maciej}\ \bibnamefont
|
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{Koch-Janusz}}\ and\ \bibinfo {author} {\bibfnamefont {Zohar}\ \bibnamefont
|
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{Ringel}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Mutual
|
|
information, neural networks and the renormalization group},}\ }\href
|
|
{\doibase 10.1038/s41567-018-0081-4} {\bibfield {journal} {\bibinfo
|
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{journal} {Nature Physics}\ }\textbf {\bibinfo {volume} {14}},\ \bibinfo
|
|
{pages} {578--582} (\bibinfo {year} {2018})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Iso}\ \emph {et~al.}(2018)\citenamefont {Iso},
|
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\citenamefont {Shiba},\ and\ \citenamefont {Yokoo}}]{PhysRevE.97.053304}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Satoshi}\ \bibnamefont
|
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{Iso}}, \bibinfo {author} {\bibfnamefont {Shotaro}\ \bibnamefont {Shiba}}, \
|
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and\ \bibinfo {author} {\bibfnamefont {Sumito}\ \bibnamefont {Yokoo}},\
|
|
}\bibfield {title} {\enquote {\bibinfo {title} {Scale-invariant feature
|
|
extraction of neural network and renormalization group flow},}\ }\href
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{\doibase 10.1103/PhysRevE.97.053304} {\bibfield {journal} {\bibinfo
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{journal} {Phys. Rev. E}\ }\textbf {\bibinfo {volume} {97}},\ \bibinfo
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{pages} {053304} (\bibinfo {year} {2018})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Li}\ and\ \citenamefont
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{Wang}(2018)}]{PhysRevLett.121.260601}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Shuo-Hui}\
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\bibnamefont {Li}}\ and\ \bibinfo {author} {\bibfnamefont {Lei}\ \bibnamefont
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{Wang}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Neural network
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renormalization group},}\ }\href {\doibase 10.1103/PhysRevLett.121.260601}
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{\bibfield {journal} {\bibinfo {journal} {Phys. Rev. Lett.}\ }\textbf
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{\bibinfo {volume} {121}},\ \bibinfo {pages} {260601} (\bibinfo {year}
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{2018})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Hu}\ \emph {et~al.}(2020)\citenamefont {Hu},
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\citenamefont {Li}, \citenamefont {Wang},\ and\ \citenamefont
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{You}}]{PhysRevResearch.2.023369}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Hong-Ye}\ \bibnamefont
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{Hu}}, \bibinfo {author} {\bibfnamefont {Shuo-Hui}\ \bibnamefont {Li}},
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\bibinfo {author} {\bibfnamefont {Lei}\ \bibnamefont {Wang}}, \ and\ \bibinfo
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{author} {\bibfnamefont {Yi-Zhuang}\ \bibnamefont {You}},\ }\bibfield
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{title} {\enquote {\bibinfo {title} {Machine learning holographic mapping by
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neural network renormalization group},}\ }\href {\doibase
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10.1103/PhysRevResearch.2.023369} {\bibfield {journal} {\bibinfo {journal}
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{Phys. Rev. Research}\ }\textbf {\bibinfo {volume} {2}},\ \bibinfo {pages}
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{023369} (\bibinfo {year} {2020})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {{Chung}}\ and\ \citenamefont
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{{Kao}}(2020)}]{2020arXiv201005703C}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Jui-Hui}\ \bibnamefont
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{{Chung}}}\ and\ \bibinfo {author} {\bibfnamefont {Ying-Jer}\ \bibnamefont
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{{Kao}}},\ }\bibfield {title} {\enquote {\bibinfo {title} {{Neural Monte
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Carlo Renormalization Group}},}\ }\href@noop {} {\bibfield {journal}
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{\bibinfo {journal} {arXiv e-prints}\ ,\ \bibinfo {eid} {arXiv:2010.05703}}
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(\bibinfo {year} {2020})},\ \Eprint {http://arxiv.org/abs/2010.05703}
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{arXiv:2010.05703 [cond-mat.dis-nn]} \BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Torlai}\ and\ \citenamefont
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{Melko}(2017)}]{torlai_neural_2016}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Giacomo}\ \bibnamefont
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{Torlai}}\ and\ \bibinfo {author} {\bibfnamefont {Roger~G.}\ \bibnamefont
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{Melko}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Neural decoder
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for topological codes},}\ }\href {\doibase 10.1103/PhysRevLett.119.030501}
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{\bibfield {journal} {\bibinfo {journal} {Phys. Rev. Lett.}\ }\textbf
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{\bibinfo {volume} {119}},\ \bibinfo {pages} {030501} (\bibinfo {year}
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{2017})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Krastanov}\ and\ \citenamefont
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{Jiang}(2017)}]{krastanov_deep_2017}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Stefan}\ \bibnamefont
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{Krastanov}}\ and\ \bibinfo {author} {\bibfnamefont {Liang}\ \bibnamefont
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{Jiang}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Deep {Neural}
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{Network} {Probabilistic} {Decoder} for {Stabilizer} {Codes}},}\ }\href
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{\doibase 10.1038/s41598-017-11266-1} {\bibfield {journal} {\bibinfo
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{journal} {Scientific Reports}\ }\textbf {\bibinfo {volume} {7}},\ \bibinfo
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{pages} {11003} (\bibinfo {year} {2017})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Varsamopoulos}\ \emph {et~al.}(2017)\citenamefont
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{Varsamopoulos}, \citenamefont {Criger},\ and\ \citenamefont
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{Bertels}}]{Varsamopoulos_2017}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Savvas}\ \bibnamefont
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{Varsamopoulos}}, \bibinfo {author} {\bibfnamefont {Ben}\ \bibnamefont
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{Criger}}, \ and\ \bibinfo {author} {\bibfnamefont {Koen}\ \bibnamefont
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{Bertels}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Decoding small
|
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surface codes with feedforward neural networks},}\ }\href {\doibase
|
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10.1088/2058-9565/aa955a} {\bibfield {journal} {\bibinfo {journal} {Quantum
|
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Science and Technology}\ }\textbf {\bibinfo {volume} {3}},\ \bibinfo {pages}
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{015004} (\bibinfo {year} {2017})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Baireuther}\ \emph {et~al.}(2018)\citenamefont
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{Baireuther}, \citenamefont {O'Brien}, \citenamefont {Tarasinski},\ and\
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\citenamefont {Beenakker}}]{Baireuther2018machinelearning}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Paul}\ \bibnamefont
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{Baireuther}}, \bibinfo {author} {\bibfnamefont {Thomas~E.}\ \bibnamefont
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{O'Brien}}, \bibinfo {author} {\bibfnamefont {Brian}\ \bibnamefont
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{Tarasinski}}, \ and\ \bibinfo {author} {\bibfnamefont {Carlo W.~J.}\
|
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\bibnamefont {Beenakker}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
|
{Machine-learning-assisted correction of correlated qubit errors in a
|
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topological code},}\ }\href {\doibase 10.22331/q-2018-01-29-48} {\bibfield
|
|
{journal} {\bibinfo {journal} {{Quantum}}\ }\textbf {\bibinfo {volume}
|
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{2}},\ \bibinfo {pages} {48} (\bibinfo {year} {2018})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Chamberland}\ and\ \citenamefont
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{Ronagh}(2018)}]{Chamberland_2018}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Christopher}\
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\bibnamefont {Chamberland}}\ and\ \bibinfo {author} {\bibfnamefont {Pooya}\
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\bibnamefont {Ronagh}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
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{Deep neural decoders for near term fault-tolerant experiments},}\ }\href
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{\doibase 10.1088/2058-9565/aad1f7} {\bibfield {journal} {\bibinfo
|
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{journal} {Quantum Science and Technology}\ }\textbf {\bibinfo {volume}
|
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{3}},\ \bibinfo {pages} {044002} (\bibinfo {year} {2018})}\BibitemShut
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{NoStop}%
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\bibitem [{\citenamefont {Breuckmann}\ and\ \citenamefont
|
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{Ni}(2018)}]{Breuckmann2018scalableneural}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Nikolas~P.}\
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\bibnamefont {Breuckmann}}\ and\ \bibinfo {author} {\bibfnamefont {Xiaotong}\
|
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\bibnamefont {Ni}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
|
{Scalable {N}eural {N}etwork {D}ecoders for {H}igher {D}imensional {Q}uantum
|
|
{C}odes},}\ }\href {\doibase 10.22331/q-2018-05-24-68} {\bibfield {journal}
|
|
{\bibinfo {journal} {{Quantum}}\ }\textbf {\bibinfo {volume} {2}},\ \bibinfo
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{pages} {68} (\bibinfo {year} {2018})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Nautrup}\ \emph {et~al.}(2019)\citenamefont
|
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{Nautrup}, \citenamefont {Delfosse}, \citenamefont {Dunjko}, \citenamefont
|
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{Briegel},\ and\ \citenamefont {Friis}}]{Nautrup2019optimizingquantum}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Hendrik~Poulsen}\
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\bibnamefont {Nautrup}}, \bibinfo {author} {\bibfnamefont {Nicolas}\
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\bibnamefont {Delfosse}}, \bibinfo {author} {\bibfnamefont {Vedran}\
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\bibnamefont {Dunjko}}, \bibinfo {author} {\bibfnamefont {Hans~J.}\
|
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\bibnamefont {Briegel}}, \ and\ \bibinfo {author} {\bibfnamefont {Nicolai}\
|
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\bibnamefont {Friis}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
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{Optimizing {Q}uantum {E}rror {C}orrection {C}odes with {R}einforcement
|
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{L}earning},}\ }\href {\doibase 10.22331/q-2019-12-16-215} {\bibfield
|
|
{journal} {\bibinfo {journal} {{Quantum}}\ }\textbf {\bibinfo {volume}
|
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{3}},\ \bibinfo {pages} {215} (\bibinfo {year} {2019})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Liu}\ and\ \citenamefont
|
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{Poulin}(2019)}]{PhysRevLett.122.200501}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Ye-Hua}\ \bibnamefont
|
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{Liu}}\ and\ \bibinfo {author} {\bibfnamefont {David}\ \bibnamefont
|
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{Poulin}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Neural
|
|
belief-propagation decoders for quantum error-correcting codes},}\ }\href
|
|
{\doibase 10.1103/PhysRevLett.122.200501} {\bibfield {journal} {\bibinfo
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{journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {122}},\ \bibinfo
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{pages} {200501} (\bibinfo {year} {2019})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Maskara}\ \emph {et~al.}(2019)\citenamefont
|
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{Maskara}, \citenamefont {Kubica},\ and\ \citenamefont
|
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{Jochym-O'Connor}}]{PhysRevA.99.052351}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Nishad}\ \bibnamefont
|
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{Maskara}}, \bibinfo {author} {\bibfnamefont {Aleksander}\ \bibnamefont
|
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{Kubica}}, \ and\ \bibinfo {author} {\bibfnamefont {Tomas}\ \bibnamefont
|
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{Jochym-O'Connor}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
|
{Advantages of versatile neural-network decoding for topological codes},}\
|
|
}\href {\doibase 10.1103/PhysRevA.99.052351} {\bibfield {journal} {\bibinfo
|
|
{journal} {Phys. Rev. A}\ }\textbf {\bibinfo {volume} {99}},\ \bibinfo
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{pages} {052351} (\bibinfo {year} {2019})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Andreasson}\ \emph {et~al.}(2019)\citenamefont
|
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{Andreasson}, \citenamefont {Johansson}, \citenamefont {Liljestrand},\ and\
|
|
\citenamefont {Granath}}]{Andreasson2019quantumerror}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Philip}\ \bibnamefont
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{Andreasson}}, \bibinfo {author} {\bibfnamefont {Joel}\ \bibnamefont
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{Johansson}}, \bibinfo {author} {\bibfnamefont {Simon}\ \bibnamefont
|
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{Liljestrand}}, \ and\ \bibinfo {author} {\bibfnamefont {Mats}\ \bibnamefont
|
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{Granath}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Quantum error
|
|
correction for the toric code using deep reinforcement learning},}\ }\href
|
|
{\doibase 10.22331/q-2019-09-02-183} {\bibfield {journal} {\bibinfo
|
|
{journal} {{Quantum}}\ }\textbf {\bibinfo {volume} {3}},\ \bibinfo {pages}
|
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{183} (\bibinfo {year} {2019})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Sweke}\ \emph {et~al.}(2020)\citenamefont {Sweke},
|
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\citenamefont {Kesselring}, \citenamefont {van Nieuwenburg},\ and\
|
|
\citenamefont {Eisert}}]{Evert2020QEC}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Ryan}\ \bibnamefont
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{Sweke}}, \bibinfo {author} {\bibfnamefont {Markus}\ \bibnamefont
|
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{Kesselring}}, \bibinfo {author} {\bibfnamefont {Evert}\ \bibnamefont {van
|
|
Nieuwenburg}}, \ and\ \bibinfo {author} {\bibfnamefont {J.}~\bibnamefont
|
|
{Eisert}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Reinforcement
|
|
learning decoders for fault-tolerant quantum computation},}\ }\href
|
|
{http://iopscience.iop.org/article/10.1088/2632-2153/abc609} {\bibfield
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{journal} {\bibinfo {journal} {Machine Learning: Science and Technology}\ }
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(\bibinfo {year} {2020})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Ni}(2020)}]{Ni2020neuralnetwork}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Xiaotong}\
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\bibnamefont {Ni}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Neural
|
|
{N}etwork {D}ecoders for {L}arge-{D}istance 2{D} {T}oric {C}odes},}\ }\href
|
|
{\doibase 10.22331/q-2020-08-24-310} {\bibfield {journal} {\bibinfo
|
|
{journal} {{Quantum}}\ }\textbf {\bibinfo {volume} {4}},\ \bibinfo {pages}
|
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{310} (\bibinfo {year} {2020})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Davaasuren}\ \emph {et~al.}(2020)\citenamefont
|
|
{Davaasuren}, \citenamefont {Suzuki}, \citenamefont {Fujii},\ and\
|
|
\citenamefont {Koashi}}]{PhysRevResearch.2.033399}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Amarsanaa}\
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\bibnamefont {Davaasuren}}, \bibinfo {author} {\bibfnamefont {Yasunari}\
|
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\bibnamefont {Suzuki}}, \bibinfo {author} {\bibfnamefont {Keisuke}\
|
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\bibnamefont {Fujii}}, \ and\ \bibinfo {author} {\bibfnamefont {Masato}\
|
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\bibnamefont {Koashi}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
|
{General framework for constructing fast and near-optimal
|
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machine-learning-based decoder of the topological stabilizer codes},}\ }\href
|
|
{\doibase 10.1103/PhysRevResearch.2.033399} {\bibfield {journal} {\bibinfo
|
|
{journal} {Phys. Rev. Research}\ }\textbf {\bibinfo {volume} {2}},\ \bibinfo
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{pages} {033399} (\bibinfo {year} {2020})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Fitzek}\ \emph {et~al.}(2020)\citenamefont {Fitzek},
|
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\citenamefont {Eliasson}, \citenamefont {Kockum},\ and\ \citenamefont
|
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{Granath}}]{PhysRevResearch.2.023230}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {David}\ \bibnamefont
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{Fitzek}}, \bibinfo {author} {\bibfnamefont {Mattias}\ \bibnamefont
|
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{Eliasson}}, \bibinfo {author} {\bibfnamefont {Anton~Frisk}\ \bibnamefont
|
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{Kockum}}, \ and\ \bibinfo {author} {\bibfnamefont {Mats}\ \bibnamefont
|
|
{Granath}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Deep q-learning
|
|
decoder for depolarizing noise on the toric code},}\ }\href {\doibase
|
|
10.1103/PhysRevResearch.2.023230} {\bibfield {journal} {\bibinfo {journal}
|
|
{Phys. Rev. Research}\ }\textbf {\bibinfo {volume} {2}},\ \bibinfo {pages}
|
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{023230} (\bibinfo {year} {2020})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {You}\ \emph {et~al.}(2018)\citenamefont {You},
|
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\citenamefont {Yang},\ and\ \citenamefont {Qi}}]{PhysRevB.97.045153}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Yi-Zhuang}\
|
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\bibnamefont {You}}, \bibinfo {author} {\bibfnamefont {Zhao}\ \bibnamefont
|
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{Yang}}, \ and\ \bibinfo {author} {\bibfnamefont {Xiao-Liang}\ \bibnamefont
|
|
{Qi}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Machine learning
|
|
spatial geometry from entanglement features},}\ }\href {\doibase
|
|
10.1103/PhysRevB.97.045153} {\bibfield {journal} {\bibinfo {journal} {Phys.
|
|
Rev. B}\ }\textbf {\bibinfo {volume} {97}},\ \bibinfo {pages} {045153}
|
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(\bibinfo {year} {2018})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Seif}\ \emph {et~al.}(2018)\citenamefont {Seif},
|
|
\citenamefont {Landsman}, \citenamefont {Linke}, \citenamefont {Figgatt},
|
|
\citenamefont {Monroe},\ and\ \citenamefont {Hafezi}}]{Seif_2018}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Alireza}\ \bibnamefont
|
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{Seif}}, \bibinfo {author} {\bibfnamefont {Kevin~A}\ \bibnamefont
|
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{Landsman}}, \bibinfo {author} {\bibfnamefont {Norbert~M}\ \bibnamefont
|
|
{Linke}}, \bibinfo {author} {\bibfnamefont {Caroline}\ \bibnamefont
|
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{Figgatt}}, \bibinfo {author} {\bibfnamefont {C}~\bibnamefont {Monroe}}, \
|
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and\ \bibinfo {author} {\bibfnamefont {Mohammad}\ \bibnamefont {Hafezi}},\
|
|
}\bibfield {title} {\enquote {\bibinfo {title} {Machine learning assisted
|
|
readout of trapped-ion qubits},}\ }\href {\doibase 10.1088/1361-6455/aad62b}
|
|
{\bibfield {journal} {\bibinfo {journal} {Journal of Physics B: Atomic,
|
|
Molecular and Optical Physics}\ }\textbf {\bibinfo {volume} {51}},\ \bibinfo
|
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{pages} {174006} (\bibinfo {year} {2018})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Melnikov}\ \emph {et~al.}(2018)\citenamefont
|
|
{Melnikov}, \citenamefont {Poulsen~Nautrup}, \citenamefont {Krenn},
|
|
\citenamefont {Dunjko}, \citenamefont {Tiersch}, \citenamefont {Zeilinger},\
|
|
and\ \citenamefont {Briegel}}]{Melnikov1221}%
|
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\BibitemOpen
|
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Alexey~A.}\
|
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\bibnamefont {Melnikov}}, \bibinfo {author} {\bibfnamefont {Hendrik}\
|
|
\bibnamefont {Poulsen~Nautrup}}, \bibinfo {author} {\bibfnamefont {Mario}\
|
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\bibnamefont {Krenn}}, \bibinfo {author} {\bibfnamefont {Vedran}\
|
|
\bibnamefont {Dunjko}}, \bibinfo {author} {\bibfnamefont {Markus}\
|
|
\bibnamefont {Tiersch}}, \bibinfo {author} {\bibfnamefont {Anton}\
|
|
\bibnamefont {Zeilinger}}, \ and\ \bibinfo {author} {\bibfnamefont {Hans~J.}\
|
|
\bibnamefont {Briegel}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
|
{Active learning machine learns to create new quantum experiments},}\ }\href
|
|
{\doibase 10.1073/pnas.1714936115} {\bibfield {journal} {\bibinfo {journal}
|
|
{Proceedings of the National Academy of Sciences}\ }\textbf {\bibinfo
|
|
{volume} {115}},\ \bibinfo {pages} {1221--1226} (\bibinfo {year} {2018})},\
|
|
\Eprint
|
|
{http://arxiv.org/abs/https://www.pnas.org/content/115/6/1221.full.pdf}
|
|
{https://www.pnas.org/content/115/6/1221.full.pdf} \BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Dunjko}\ and\ \citenamefont
|
|
{Briegel}(2018)}]{Dunjko_2018}%
|
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\BibitemOpen
|
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Vedran}\ \bibnamefont
|
|
{Dunjko}}\ and\ \bibinfo {author} {\bibfnamefont {Hans~J}\ \bibnamefont
|
|
{Briegel}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Machine
|
|
learning {\&} artificial intelligence in the quantum domain: a review of
|
|
recent progress},}\ }\href {\doibase 10.1088/1361-6633/aab406} {\bibfield
|
|
{journal} {\bibinfo {journal} {Reports on Progress in Physics}\ }\textbf
|
|
{\bibinfo {volume} {81}},\ \bibinfo {pages} {074001} (\bibinfo {year}
|
|
{2018})}\BibitemShut {NoStop}%
|
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\bibitem [{\citenamefont {Zhao}\ \emph {et~al.}(2019)\citenamefont {Zhao},
|
|
\citenamefont {Kao}, \citenamefont {Wu},\ and\ \citenamefont
|
|
{Kao}}]{PhysRevE.99.062106}%
|
|
\BibitemOpen
|
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Kai-Wen}\ \bibnamefont
|
|
{Zhao}}, \bibinfo {author} {\bibfnamefont {Wen-Han}\ \bibnamefont {Kao}},
|
|
\bibinfo {author} {\bibfnamefont {Kai-Hsin}\ \bibnamefont {Wu}}, \ and\
|
|
\bibinfo {author} {\bibfnamefont {Ying-Jer}\ \bibnamefont {Kao}},\ }\bibfield
|
|
{title} {\enquote {\bibinfo {title} {Generation of ice states through deep
|
|
reinforcement learning},}\ }\href {\doibase 10.1103/PhysRevE.99.062106}
|
|
{\bibfield {journal} {\bibinfo {journal} {Phys. Rev. E}\ }\textbf {\bibinfo
|
|
{volume} {99}},\ \bibinfo {pages} {062106} (\bibinfo {year}
|
|
{2019})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {{Carrasquilla}}\ \emph {et~al.}(2019)\citenamefont
|
|
{{Carrasquilla}}, \citenamefont {{Luo}}, \citenamefont {{P{\'e}rez}},
|
|
\citenamefont {{Milsted}}, \citenamefont {{Clark}}, \citenamefont
|
|
{{Volkovs}},\ and\ \citenamefont {{Aolita}}}]{2019arXiv191211052C}%
|
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\BibitemOpen
|
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Juan}\ \bibnamefont
|
|
{{Carrasquilla}}}, \bibinfo {author} {\bibfnamefont {Di}~\bibnamefont
|
|
{{Luo}}}, \bibinfo {author} {\bibfnamefont {Felipe}\ \bibnamefont
|
|
{{P{\'e}rez}}}, \bibinfo {author} {\bibfnamefont {Ashley}\ \bibnamefont
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{{Milsted}}}, \bibinfo {author} {\bibfnamefont {Bryan~K.}\ \bibnamefont
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{{Clark}}}, \bibinfo {author} {\bibfnamefont {Maksims}\ \bibnamefont
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{{Volkovs}}}, \ and\ \bibinfo {author} {\bibfnamefont {Leandro}\ \bibnamefont
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{{Aolita}}},\ }\bibfield {title} {\enquote {\bibinfo {title} {{Probabilistic
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Simulation of Quantum Circuits with the Transformer}},}\ }\href@noop {}
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{\bibfield {journal} {\bibinfo {journal} {arXiv e-prints}\ ,\ \bibinfo
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{eid} {arXiv:1912.11052}} (\bibinfo {year} {2019})},\ \Eprint
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{http://arxiv.org/abs/1912.11052} {arXiv:1912.11052 [cond-mat.str-el]}
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\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Efthymiou}\ \emph {et~al.}(2019)\citenamefont
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{Efthymiou}, \citenamefont {Beach},\ and\ \citenamefont
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{Melko}}]{PhysRevB.99.075113}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Stavros}\ \bibnamefont
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{Efthymiou}}, \bibinfo {author} {\bibfnamefont {Matthew J.~S.}\ \bibnamefont
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{Beach}}, \ and\ \bibinfo {author} {\bibfnamefont {Roger~G.}\ \bibnamefont
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{Melko}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Super-resolving
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the ising model with convolutional neural networks},}\ }\href {\doibase
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10.1103/PhysRevB.99.075113} {\bibfield {journal} {\bibinfo {journal} {Phys.
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Rev. B}\ }\textbf {\bibinfo {volume} {99}},\ \bibinfo {pages} {075113}
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(\bibinfo {year} {2019})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Iten}\ \emph {et~al.}(2020)\citenamefont {Iten},
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\citenamefont {Metger}, \citenamefont {Wilming}, \citenamefont {del Rio},\
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and\ \citenamefont {Renner}}]{PhysRevLett.124.010508}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Raban}\ \bibnamefont
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{Iten}}, \bibinfo {author} {\bibfnamefont {Tony}\ \bibnamefont {Metger}},
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\bibinfo {author} {\bibfnamefont {Henrik}\ \bibnamefont {Wilming}}, \bibinfo
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{author} {\bibfnamefont {L\'{\i}dia}\ \bibnamefont {del Rio}}, \ and\
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\bibinfo {author} {\bibfnamefont {Renato}\ \bibnamefont {Renner}},\
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}\bibfield {title} {\enquote {\bibinfo {title} {Discovering physical
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concepts with neural networks},}\ }\href {\doibase
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10.1103/PhysRevLett.124.010508} {\bibfield {journal} {\bibinfo {journal}
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{Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {124}},\ \bibinfo {pages}
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{010508} (\bibinfo {year} {2020})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Flurin}\ \emph {et~al.}(2020)\citenamefont {Flurin},
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\citenamefont {Martin}, \citenamefont {Hacohen-Gourgy},\ and\ \citenamefont
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{Siddiqi}}]{PhysRevX.10.011006}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {E.}~\bibnamefont
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{Flurin}}, \bibinfo {author} {\bibfnamefont {L.~S.}\ \bibnamefont {Martin}},
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\bibinfo {author} {\bibfnamefont {S.}~\bibnamefont {Hacohen-Gourgy}}, \ and\
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\bibinfo {author} {\bibfnamefont {I.}~\bibnamefont {Siddiqi}},\ }\bibfield
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{title} {\enquote {\bibinfo {title} {Using a recurrent neural network to
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reconstruct quantum dynamics of a superconducting qubit from physical
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observations},}\ }\href {\doibase 10.1103/PhysRevX.10.011006} {\bibfield
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{journal} {\bibinfo {journal} {Phys. Rev. X}\ }\textbf {\bibinfo {volume}
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{10}},\ \bibinfo {pages} {011006} (\bibinfo {year} {2020})}\BibitemShut
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{NoStop}%
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\bibitem [{\citenamefont {{Hashimoto}}\ \emph {et~al.}(2020)\citenamefont
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{{Hashimoto}}, \citenamefont {{Hu}},\ and\ \citenamefont
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{{You}}}]{2020arXiv200600712H}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Koji}\ \bibnamefont
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{{Hashimoto}}}, \bibinfo {author} {\bibfnamefont {Hong-Ye}\ \bibnamefont
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{{Hu}}}, \ and\ \bibinfo {author} {\bibfnamefont {Yi-Zhuang}\ \bibnamefont
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{{You}}},\ }\bibfield {title} {\enquote {\bibinfo {title} {{Neural ODE and
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Holographic QCD}},}\ }\href@noop {} {\bibfield {journal} {\bibinfo
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{journal} {arXiv e-prints}\ ,\ \bibinfo {eid} {arXiv:2006.00712}} (\bibinfo
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{year} {2020})},\ \Eprint {http://arxiv.org/abs/2006.00712} {arXiv:2006.00712
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[hep-th]} \BibitemShut {NoStop}%
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\bibitem [{\citenamefont {{Luo}}\ \emph {et~al.}(2020)\citenamefont {{Luo}},
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\citenamefont {{Chen}}, \citenamefont {{Carrasquilla}},\ and\ \citenamefont
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{{Clark}}}]{2020arXiv200905580L}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Di}~\bibnamefont
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{{Luo}}}, \bibinfo {author} {\bibfnamefont {Zhuo}\ \bibnamefont {{Chen}}},
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\bibinfo {author} {\bibfnamefont {Juan}\ \bibnamefont {{Carrasquilla}}}, \
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and\ \bibinfo {author} {\bibfnamefont {Bryan~K.}\ \bibnamefont {{Clark}}},\
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}\bibfield {title} {\enquote {\bibinfo {title} {{Autoregressive Neural
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Network for Simulating Open Quantum Systems via a Probabilistic
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Formulation}},}\ }\href@noop {} {\bibfield {journal} {\bibinfo {journal}
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{arXiv e-prints}\ ,\ \bibinfo {eid} {arXiv:2009.05580}} (\bibinfo {year}
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{2020})},\ \Eprint {http://arxiv.org/abs/2009.05580} {arXiv:2009.05580
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[cond-mat.str-el]} \BibitemShut {NoStop}%
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\bibitem [{\citenamefont {{Lode}}\ \emph {et~al.}(2020)\citenamefont {{Lode}},
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\citenamefont {{Lin}}, \citenamefont {{B{\"u}ttner}}, \citenamefont
|
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{{Papariello}}, \citenamefont {{L{\'e}v{\^e}que}}, \citenamefont {{Chitra}},
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\citenamefont {{Tsatsos}}, \citenamefont {{Jaksch}},\ and\ \citenamefont
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{{Molignini}}}]{2020arXiv201014510L}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Axel U.~J.}\
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\bibnamefont {{Lode}}}, \bibinfo {author} {\bibfnamefont {Rui}\ \bibnamefont
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{{Lin}}}, \bibinfo {author} {\bibfnamefont {Miriam}\ \bibnamefont
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{{B{\"u}ttner}}}, \bibinfo {author} {\bibfnamefont {Luca}\ \bibnamefont
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{{Papariello}}}, \bibinfo {author} {\bibfnamefont {Camille}\ \bibnamefont
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{{L{\'e}v{\^e}que}}}, \bibinfo {author} {\bibfnamefont {R.}~\bibnamefont
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{{Chitra}}}, \bibinfo {author} {\bibfnamefont {Marios~C.}\ \bibnamefont
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{{Tsatsos}}}, \bibinfo {author} {\bibfnamefont {Dieter}\ \bibnamefont
|
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{{Jaksch}}}, \ and\ \bibinfo {author} {\bibfnamefont {Paolo}\ \bibnamefont
|
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{{Molignini}}},\ }\bibfield {title} {\enquote {\bibinfo {title} {{Optimized
|
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Observable Readout from Single-shot Images of Ultracold Atoms via Machine
|
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Learning}},}\ }\href@noop {} {\bibfield {journal} {\bibinfo {journal}
|
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{arXiv e-prints}\ ,\ \bibinfo {eid} {arXiv:2010.14510}} (\bibinfo {year}
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{2020})},\ \Eprint {http://arxiv.org/abs/2010.14510} {arXiv:2010.14510
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[cond-mat.quant-gas]} \BibitemShut {NoStop}%
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\bibitem [{cod()}]{coderepo}%
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\BibitemOpen
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\href {https://github.com/GTorlai/NeuralNetworks-for-Quantum} {\enquote
|
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{\bibinfo {title} {https://github.com/gtorlai/neuralnetworks-for-quantum},}\
|
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}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Goodfellow}\ \emph {et~al.}(2016)\citenamefont
|
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{Goodfellow}, \citenamefont {Bengio},\ and\ \citenamefont
|
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{Courville}}]{Goodfellow-et-al-2016}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Ian}\ \bibnamefont
|
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{Goodfellow}}, \bibinfo {author} {\bibfnamefont {Yoshua}\ \bibnamefont
|
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{Bengio}}, \ and\ \bibinfo {author} {\bibfnamefont {Aaron}\ \bibnamefont
|
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{Courville}},\ }\href@noop {} {\emph {\bibinfo {title} {Deep Learning}}}\
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(\bibinfo {publisher} {MIT Press},\ \bibinfo {year} {2016})\ \bibinfo {note}
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{\url{http://www.deeplearningbook.org}}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Bishop}(2006)}]{10.5555/1162264}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Christopher~M.}\
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\bibnamefont {Bishop}},\ }\href@noop {} {\emph {\bibinfo {title} {Pattern
|
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Recognition and Machine Learning (Information Science and Statistics)}}}\
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(\bibinfo {publisher} {Springer-Verlag},\ \bibinfo {address} {Berlin,
|
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Heidelberg},\ \bibinfo {year} {2006})\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Sutton}\ and\ \citenamefont
|
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{Barto}(1998)}]{10.5555/551283}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Richard~S.}\
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\bibnamefont {Sutton}}\ and\ \bibinfo {author} {\bibfnamefont {Andrew~G.}\
|
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\bibnamefont {Barto}},\ }\href@noop {} {\emph {\bibinfo {title} {Introduction
|
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to Reinforcement Learning}}},\ \bibinfo {edition} {1st}\ ed.\ (\bibinfo
|
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{publisher} {MIT Press},\ \bibinfo {address} {Cambridge, MA, USA},\ \bibinfo
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{year} {1998})\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Mnih}\ \emph {et~al.}(2015)\citenamefont {Mnih},
|
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\citenamefont {Kavukcuoglu}, \citenamefont {Silver}, \citenamefont {Rusu},
|
|
\citenamefont {Veness}, \citenamefont {Bellemare}, \citenamefont {Graves},
|
|
\citenamefont {Riedmiller}, \citenamefont {Fidjeland}, \citenamefont
|
|
{Ostrovski}, \citenamefont {Petersen}, \citenamefont {Beattie}, \citenamefont
|
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{Sadik}, \citenamefont {Antonoglou}, \citenamefont {King}, \citenamefont
|
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{Kumaran}, \citenamefont {Wierstra}, \citenamefont {Legg},\ and\
|
|
\citenamefont {Hassabis}}]{mnih_human-level_2015}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Volodymyr}\
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\bibnamefont {Mnih}}, \bibinfo {author} {\bibfnamefont {Koray}\ \bibnamefont
|
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{Kavukcuoglu}}, \bibinfo {author} {\bibfnamefont {David}\ \bibnamefont
|
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{Silver}}, \bibinfo {author} {\bibfnamefont {Andrei~A.}\ \bibnamefont
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{Rusu}}, \bibinfo {author} {\bibfnamefont {Joel}\ \bibnamefont {Veness}},
|
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\bibinfo {author} {\bibfnamefont {Marc~G.}\ \bibnamefont {Bellemare}},
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\bibinfo {author} {\bibfnamefont {Alex}\ \bibnamefont {Graves}}, \bibinfo
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{author} {\bibfnamefont {Martin}\ \bibnamefont {Riedmiller}}, \bibinfo
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{author} {\bibfnamefont {Andreas~K.}\ \bibnamefont {Fidjeland}}, \bibinfo
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{author} {\bibfnamefont {Georg}\ \bibnamefont {Ostrovski}}, \bibinfo {author}
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{\bibfnamefont {Stig}\ \bibnamefont {Petersen}}, \bibinfo {author}
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{\bibfnamefont {Charles}\ \bibnamefont {Beattie}}, \bibinfo {author}
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{\bibfnamefont {Amir}\ \bibnamefont {Sadik}}, \bibinfo {author}
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{\bibfnamefont {Ioannis}\ \bibnamefont {Antonoglou}}, \bibinfo {author}
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{\bibfnamefont {Helen}\ \bibnamefont {King}}, \bibinfo {author}
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{\bibfnamefont {Dharshan}\ \bibnamefont {Kumaran}}, \bibinfo {author}
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{\bibfnamefont {Daan}\ \bibnamefont {Wierstra}}, \bibinfo {author}
|
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{\bibfnamefont {Shane}\ \bibnamefont {Legg}}, \ and\ \bibinfo {author}
|
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{\bibfnamefont {Demis}\ \bibnamefont {Hassabis}},\ }\bibfield {title}
|
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{\enquote {\bibinfo {title} {Human-level control through deep reinforcement
|
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learning},}\ }\href {\doibase 10.1038/nature14236} {\bibfield {journal}
|
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{\bibinfo {journal} {Nature}\ }\textbf {\bibinfo {volume} {518}},\ \bibinfo
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{pages} {529--533} (\bibinfo {year} {2015})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Silver}\ \emph {et~al.}(2016)\citenamefont {Silver},
|
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\citenamefont {Huang}, \citenamefont {Maddison}, \citenamefont {Guez},
|
|
\citenamefont {Sifre}, \citenamefont {{van den Driessche}}, \citenamefont
|
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{Schrittwieser}, \citenamefont {Antonoglou}, \citenamefont {Panneershelvam},
|
|
\citenamefont {Lanctot}, \citenamefont {Dieleman}, \citenamefont {Grewe},
|
|
\citenamefont {Nham}, \citenamefont {Kalchbrenner}, \citenamefont
|
|
{Sutskever}, \citenamefont {Lillicrap}, \citenamefont {Leach}, \citenamefont
|
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{Kavukcuoglu}, \citenamefont {Graepel},\ and\ \citenamefont
|
|
{Hassabis}}]{silver2016}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {David}\ \bibnamefont
|
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{Silver}}, \bibinfo {author} {\bibfnamefont {Aja}\ \bibnamefont {Huang}},
|
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\bibinfo {author} {\bibfnamefont {Chris~J.}\ \bibnamefont {Maddison}},
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\bibinfo {author} {\bibfnamefont {Arthur}\ \bibnamefont {Guez}}, \bibinfo
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{author} {\bibfnamefont {Laurent}\ \bibnamefont {Sifre}}, \bibinfo {author}
|
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{\bibfnamefont {George}\ \bibnamefont {{van den Driessche}}}, \bibinfo
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{author} {\bibfnamefont {Julian}\ \bibnamefont {Schrittwieser}}, \bibinfo
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{author} {\bibfnamefont {Ioannis}\ \bibnamefont {Antonoglou}}, \bibinfo
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{author} {\bibfnamefont {Veda}\ \bibnamefont {Panneershelvam}}, \bibinfo
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{author} {\bibfnamefont {Marc}\ \bibnamefont {Lanctot}}, \bibinfo {author}
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{\bibfnamefont {Sander}\ \bibnamefont {Dieleman}}, \bibinfo {author}
|
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{\bibfnamefont {Dominik}\ \bibnamefont {Grewe}}, \bibinfo {author}
|
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{\bibfnamefont {John}\ \bibnamefont {Nham}}, \bibinfo {author} {\bibfnamefont
|
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{Nal}\ \bibnamefont {Kalchbrenner}}, \bibinfo {author} {\bibfnamefont {Ilya}\
|
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\bibnamefont {Sutskever}}, \bibinfo {author} {\bibfnamefont {Timothy}\
|
|
\bibnamefont {Lillicrap}}, \bibinfo {author} {\bibfnamefont {Madeleine}\
|
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\bibnamefont {Leach}}, \bibinfo {author} {\bibfnamefont {Koray}\ \bibnamefont
|
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{Kavukcuoglu}}, \bibinfo {author} {\bibfnamefont {Thore}\ \bibnamefont
|
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{Graepel}}, \ and\ \bibinfo {author} {\bibfnamefont {Demis}\ \bibnamefont
|
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{Hassabis}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Mastering the
|
|
game of {{Go}} with deep neural networks and tree search},}\ }\href {\doibase
|
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10.1038/nature16961} {\bibfield {journal} {\bibinfo {journal} {Nature}\
|
|
}\textbf {\bibinfo {volume} {529}},\ \bibinfo {pages} {484--489} (\bibinfo
|
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{year} {2016})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Bukov}\ \emph
|
|
{et~al.}(2018{\natexlab{b}})\citenamefont {Bukov}, \citenamefont {Day},
|
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\citenamefont {Sels}, \citenamefont {Weinberg}, \citenamefont {Polkovnikov},\
|
|
and\ \citenamefont {Mehta}}]{bukov2018}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Marin}\ \bibnamefont
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{Bukov}}, \bibinfo {author} {\bibfnamefont {Alexandre G.~R.}\ \bibnamefont
|
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{Day}}, \bibinfo {author} {\bibfnamefont {Dries}\ \bibnamefont {Sels}},
|
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\bibinfo {author} {\bibfnamefont {Phillip}\ \bibnamefont {Weinberg}},
|
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\bibinfo {author} {\bibfnamefont {Anatoli}\ \bibnamefont {Polkovnikov}}, \
|
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and\ \bibinfo {author} {\bibfnamefont {Pankaj}\ \bibnamefont {Mehta}},\
|
|
}\bibfield {title} {\enquote {\bibinfo {title} {Reinforcement {{Learning}}
|
|
in {{Different Phases}} of {{Quantum Control}}},}\ }\href {\doibase
|
|
10.1103/PhysRevX.8.031086} {\bibfield {journal} {\bibinfo {journal}
|
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{Physical Review X}\ }\textbf {\bibinfo {volume} {8}},\ \bibinfo {pages}
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{031086} (\bibinfo {year} {2018}{\natexlab{b}})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Schau{\ss}}\ \emph {et~al.}(2015)\citenamefont
|
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{Schau{\ss}}, \citenamefont {Zeiher}, \citenamefont {Fukuhara}, \citenamefont
|
|
{Hild}, \citenamefont {Cheneau}, \citenamefont {Macr{\`\i}}, \citenamefont
|
|
{Pohl}, \citenamefont {Bloch},\ and\ \citenamefont {Gross}}]{Schauss1455}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {P.}~\bibnamefont
|
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{Schau{\ss}}}, \bibinfo {author} {\bibfnamefont {J.}~\bibnamefont {Zeiher}},
|
|
\bibinfo {author} {\bibfnamefont {T.}~\bibnamefont {Fukuhara}}, \bibinfo
|
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{author} {\bibfnamefont {S.}~\bibnamefont {Hild}}, \bibinfo {author}
|
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{\bibfnamefont {M.}~\bibnamefont {Cheneau}}, \bibinfo {author} {\bibfnamefont
|
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{T.}~\bibnamefont {Macr{\`\i}}}, \bibinfo {author} {\bibfnamefont
|
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{T.}~\bibnamefont {Pohl}}, \bibinfo {author} {\bibfnamefont {I.}~\bibnamefont
|
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{Bloch}}, \ and\ \bibinfo {author} {\bibfnamefont {C.}~\bibnamefont
|
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{Gross}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Crystallization
|
|
in ising quantum magnets},}\ }\href {\doibase 10.1126/science.1258351}
|
|
{\bibfield {journal} {\bibinfo {journal} {Science}\ }\textbf {\bibinfo
|
|
{volume} {347}},\ \bibinfo {pages} {1455--1458} (\bibinfo {year}
|
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{2015})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Endres}\ \emph {et~al.}(2016)\citenamefont {Endres},
|
|
\citenamefont {Bernien}, \citenamefont {Keesling}, \citenamefont {Levine},
|
|
\citenamefont {Anschuetz}, \citenamefont {Krajenbrink}, \citenamefont
|
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{Senko}, \citenamefont {Vuletic}, \citenamefont {Greiner},\ and\
|
|
\citenamefont {Lukin}}]{Endres2016}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Manuel}\ \bibnamefont
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{Endres}}, \bibinfo {author} {\bibfnamefont {Hannes}\ \bibnamefont
|
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{Bernien}}, \bibinfo {author} {\bibfnamefont {Alexander}\ \bibnamefont
|
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{Keesling}}, \bibinfo {author} {\bibfnamefont {Harry}\ \bibnamefont
|
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{Levine}}, \bibinfo {author} {\bibfnamefont {Eric~R}\ \bibnamefont
|
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{Anschuetz}}, \bibinfo {author} {\bibfnamefont {Alexandre}\ \bibnamefont
|
|
{Krajenbrink}}, \bibinfo {author} {\bibfnamefont {Crystal}\ \bibnamefont
|
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{Senko}}, \bibinfo {author} {\bibfnamefont {Vladan}\ \bibnamefont {Vuletic}},
|
|
\bibinfo {author} {\bibfnamefont {Markus}\ \bibnamefont {Greiner}}, \ and\
|
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\bibinfo {author} {\bibfnamefont {Mikhail~D}\ \bibnamefont {Lukin}},\
|
|
}\bibfield {title} {\enquote {\bibinfo {title} {{Atom-by-atom assembly of
|
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defect-free one-dimensional cold atom arrays}},}\ }\href {\doibase
|
|
10.1126/science.aah3752} {\bibfield {journal} {\bibinfo {journal}
|
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{Science}\ }\textbf {\bibinfo {volume} {354}},\ \bibinfo {pages} {1024--1027}
|
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(\bibinfo {year} {2016})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Labuhn}\ \emph {et~al.}(2016)\citenamefont {Labuhn},
|
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\citenamefont {Barredo}, \citenamefont {Ravets}, \citenamefont
|
|
{de~L{\'e}s{\'e}leuc}, \citenamefont {Macr{\`\i}}, \citenamefont {Lahaye},\
|
|
and\ \citenamefont {Browaeys}}]{Labuhn}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Henning}\ \bibnamefont
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{Labuhn}}, \bibinfo {author} {\bibfnamefont {Daniel}\ \bibnamefont
|
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{Barredo}}, \bibinfo {author} {\bibfnamefont {Sylvain}\ \bibnamefont
|
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{Ravets}}, \bibinfo {author} {\bibfnamefont {Sylvain}\ \bibnamefont
|
|
{de~L{\'e}s{\'e}leuc}}, \bibinfo {author} {\bibfnamefont {Tommaso}\
|
|
\bibnamefont {Macr{\`\i}}}, \bibinfo {author} {\bibfnamefont {Thierry}\
|
|
\bibnamefont {Lahaye}}, \ and\ \bibinfo {author} {\bibfnamefont {Antoine}\
|
|
\bibnamefont {Browaeys}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
|
{Tunable two-dimensional arrays of single rydberg atoms for realizing quantum
|
|
ising models},}\ }\href {https://doi.org/10.1038/nature18274} {\bibfield
|
|
{journal} {\bibinfo {journal} {Nature}\ }\textbf {\bibinfo {volume} {534}},\
|
|
\bibinfo {pages} {667 EP --} (\bibinfo {year} {2016})}\BibitemShut {NoStop}%
|
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\bibitem [{\citenamefont {Bernien}\ \emph {et~al.}(2017)\citenamefont
|
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{Bernien}, \citenamefont {Schwartz}, \citenamefont {Keesling}, \citenamefont
|
|
{Levine}, \citenamefont {Omran}, \citenamefont {Pichler}, \citenamefont
|
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{Choi}, \citenamefont {Zibrov}, \citenamefont {Endres}, \citenamefont
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{Greiner}, \citenamefont {Vuleti{\'{c}}},\ and\ \citenamefont
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{Lukin}}]{Bernien2017}%
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\BibitemOpen
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{Bernien}}, \bibinfo {author} {\bibfnamefont {Sylvain}\ \bibnamefont
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{Schwartz}}, \bibinfo {author} {\bibfnamefont {Alexander}\ \bibnamefont
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{Keesling}}, \bibinfo {author} {\bibfnamefont {Harry}\ \bibnamefont
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{Levine}}, \bibinfo {author} {\bibfnamefont {Ahmed}\ \bibnamefont {Omran}},
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\bibinfo {author} {\bibfnamefont {Hannes}\ \bibnamefont {Pichler}}, \bibinfo
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{author} {\bibfnamefont {Soonwon}\ \bibnamefont {Choi}}, \bibinfo {author}
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{\bibfnamefont {Alexander~S}\ \bibnamefont {Zibrov}}, \bibinfo {author}
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{\bibfnamefont {Manuel}\ \bibnamefont {Endres}}, \bibinfo {author}
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{\bibfnamefont {Markus}\ \bibnamefont {Greiner}}, \bibinfo {author}
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{\bibfnamefont {Vladan}\ \bibnamefont {Vuleti{\'{c}}}}, \ and\ \bibinfo
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{author} {\bibfnamefont {Mikhail~D}\ \bibnamefont {Lukin}},\ }\bibfield
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{title} {\enquote {\bibinfo {title} {{Probing many-body dynamics on a 51-atom
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quantum simulator}},}\ }\href {\doibase 10.1038/nature24622} {\bibfield
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{journal} {\bibinfo {journal} {Nature}\ }\textbf {\bibinfo {volume} {551}},\
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\bibinfo {pages} {579--584} (\bibinfo {year} {2017})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Keesling}\ \emph {et~al.}(2019)\citenamefont
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{Keesling}, \citenamefont {Omran}, \citenamefont {Levine}, \citenamefont
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{Bernien}, \citenamefont {Pichler}, \citenamefont {Choi}, \citenamefont
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{Samajdar}, \citenamefont {Schwartz}, \citenamefont {Silvi}, \citenamefont
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{Sachdev}, \citenamefont {Zoller}, \citenamefont {Endres}, \citenamefont
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{Greiner}, \citenamefont {Vuletic},\ and\ \citenamefont
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{Lukin}}]{keesling_quantum_2019}%
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\BibitemOpen
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\bibnamefont {Keesling}}, \bibinfo {author} {\bibfnamefont {Ahmed}\
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\bibnamefont {Omran}}, \bibinfo {author} {\bibfnamefont {Harry}\ \bibnamefont
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{Levine}}, \bibinfo {author} {\bibfnamefont {Hannes}\ \bibnamefont
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{Bernien}}, \bibinfo {author} {\bibfnamefont {Hannes}\ \bibnamefont
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{Pichler}}, \bibinfo {author} {\bibfnamefont {Soonwon}\ \bibnamefont {Choi}},
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\bibinfo {author} {\bibfnamefont {Rhine}\ \bibnamefont {Samajdar}}, \bibinfo
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{author} {\bibfnamefont {Sylvain}\ \bibnamefont {Schwartz}}, \bibinfo
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{author} {\bibfnamefont {Pietro}\ \bibnamefont {Silvi}}, \bibinfo {author}
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{\bibfnamefont {Subir}\ \bibnamefont {Sachdev}}, \bibinfo {author}
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{\bibfnamefont {Peter}\ \bibnamefont {Zoller}}, \bibinfo {author}
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{\bibfnamefont {Manuel}\ \bibnamefont {Endres}}, \bibinfo {author}
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{\bibfnamefont {Markus}\ \bibnamefont {Greiner}}, \bibinfo {author}
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{\bibfnamefont {Vladan}\ \bibnamefont {Vuletic}}, \ and\ \bibinfo {author}
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{\bibfnamefont {Mikhail~D.}\ \bibnamefont {Lukin}},\ }\bibfield {title}
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{\enquote {\bibinfo {title} {Quantum kibble-zurek mechanism and critical
|
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dynamics on a programmable rydberg simulator},}\ }\href {\doibase
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10.1038/s41586-019-1070-1} {\bibfield {journal} {\bibinfo {journal}
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{Nature}\ }\textbf {\bibinfo {volume} {568}},\ \bibinfo {pages} {207--211}
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(\bibinfo {year} {2019})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {{Ebadi}}\ \emph {et~al.}(2020)\citenamefont
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{{Ebadi}}, \citenamefont {{Wang}}, \citenamefont {{Levine}}, \citenamefont
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{{Keesling}}, \citenamefont {{Semeghini}}, \citenamefont {{Omran}},
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\citenamefont {{Bluvstein}}, \citenamefont {{Samajdar}}, \citenamefont
|
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{{Pichler}}, \citenamefont {{Ho}}, \citenamefont {{Choi}}, \citenamefont
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{{Sachdev}}, \citenamefont {{Greiner}}, \citenamefont {{Vuletic}},\ and\
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\citenamefont {{Lukin}}}]{2020arXiv201212281E}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Sepehr}\ \bibnamefont
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{{Ebadi}}}, \bibinfo {author} {\bibfnamefont {Tout~T.}\ \bibnamefont
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{{Wang}}}, \bibinfo {author} {\bibfnamefont {Harry}\ \bibnamefont
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{{Levine}}}, \bibinfo {author} {\bibfnamefont {Alexander}\ \bibnamefont
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{{Keesling}}}, \bibinfo {author} {\bibfnamefont {Giulia}\ \bibnamefont
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{{Semeghini}}}, \bibinfo {author} {\bibfnamefont {Ahmed}\ \bibnamefont
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{{Omran}}}, \bibinfo {author} {\bibfnamefont {Dolev}\ \bibnamefont
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{{Bluvstein}}}, \bibinfo {author} {\bibfnamefont {Rhine}\ \bibnamefont
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{{Samajdar}}}, \bibinfo {author} {\bibfnamefont {Hannes}\ \bibnamefont
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{{Pichler}}}, \bibinfo {author} {\bibfnamefont {Wen~Wei}\ \bibnamefont
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{{Ho}}}, \bibinfo {author} {\bibfnamefont {Soonwon}\ \bibnamefont {{Choi}}},
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\bibinfo {author} {\bibfnamefont {Subir}\ \bibnamefont {{Sachdev}}}, \bibinfo
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{author} {\bibfnamefont {Markus}\ \bibnamefont {{Greiner}}}, \bibinfo
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{author} {\bibfnamefont {Vladan}\ \bibnamefont {{Vuletic}}}, \ and\ \bibinfo
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{author} {\bibfnamefont {Mikhail~D.}\ \bibnamefont {{Lukin}}},\ }\bibfield
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{title} {\enquote {\bibinfo {title} {{Quantum Phases of Matter on a 256-Atom
|
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Programmable Quantum Simulator}},}\ }\href@noop {} {\bibfield {journal}
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{\bibinfo {journal} {arXiv e-prints}\ ,\ \bibinfo {eid} {arXiv:2012.12281}}
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(\bibinfo {year} {2020})},\ \Eprint {http://arxiv.org/abs/2012.12281}
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{arXiv:2012.12281 [quant-ph]} \BibitemShut {NoStop}%
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\bibitem [{\citenamefont {{Scholl}}\ \emph {et~al.}(2020)\citenamefont
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{{Scholl}}, \citenamefont {{Schuler}}, \citenamefont {{Williams}},
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\citenamefont {{Eberharter}}, \citenamefont {{Barredo}}, \citenamefont
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{{Schymik}}, \citenamefont {{Lienhard}}, \citenamefont {{Henry}},
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\citenamefont {{Lang}}, \citenamefont {{Lahaye}}, \citenamefont
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{{L{\"a}uchli}},\ and\ \citenamefont {{Browaeys}}}]{2020arXiv201212268S}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Pascal}\ \bibnamefont
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{{Scholl}}}, \bibinfo {author} {\bibfnamefont {Michael}\ \bibnamefont
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{{Schuler}}}, \bibinfo {author} {\bibfnamefont {Hannah~J.}\ \bibnamefont
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{{Williams}}}, \bibinfo {author} {\bibfnamefont {Alexander~A.}\ \bibnamefont
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{{Eberharter}}}, \bibinfo {author} {\bibfnamefont {Daniel}\ \bibnamefont
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{{Barredo}}}, \bibinfo {author} {\bibfnamefont {Kai-Niklas}\ \bibnamefont
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{{Schymik}}}, \bibinfo {author} {\bibfnamefont {Vincent}\ \bibnamefont
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{{Lienhard}}}, \bibinfo {author} {\bibfnamefont {Louis-Paul}\ \bibnamefont
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{{Henry}}}, \bibinfo {author} {\bibfnamefont {Thomas~C.}\ \bibnamefont
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{{Lang}}}, \bibinfo {author} {\bibfnamefont {Thierry}\ \bibnamefont
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{{Lahaye}}}, \bibinfo {author} {\bibfnamefont {Andreas~M.}\ \bibnamefont
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{{L{\"a}uchli}}}, \ and\ \bibinfo {author} {\bibfnamefont {Antoine}\
|
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\bibnamefont {{Browaeys}}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
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{{Programmable quantum simulation of 2D antiferromagnets with hundreds of
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Rydberg atoms}},}\ }\href@noop {} {\bibfield {journal} {\bibinfo {journal}
|
|
{arXiv e-prints}\ ,\ \bibinfo {eid} {arXiv:2012.12268}} (\bibinfo {year}
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{2020})},\ \Eprint {http://arxiv.org/abs/2012.12268} {arXiv:2012.12268
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[quant-ph]} \BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Levine}\ \emph {et~al.}(2019)\citenamefont {Levine},
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\citenamefont {Keesling}, \citenamefont {Semeghini}, \citenamefont {Omran},
|
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\citenamefont {Wang}, \citenamefont {Ebadi}, \citenamefont {Bernien},
|
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\citenamefont {Greiner}, \citenamefont {Vuleti\ifmmode~\acute{c}\else
|
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\'{c}\fi{}}, \citenamefont {Pichler},\ and\ \citenamefont
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{Lukin}}]{Levine2019}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Harry}\ \bibnamefont
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{Levine}}, \bibinfo {author} {\bibfnamefont {Alexander}\ \bibnamefont
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{Keesling}}, \bibinfo {author} {\bibfnamefont {Giulia}\ \bibnamefont
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{Semeghini}}, \bibinfo {author} {\bibfnamefont {Ahmed}\ \bibnamefont
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{Omran}}, \bibinfo {author} {\bibfnamefont {Tout~T.}\ \bibnamefont {Wang}},
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\bibinfo {author} {\bibfnamefont {Sepehr}\ \bibnamefont {Ebadi}}, \bibinfo
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{author} {\bibfnamefont {Hannes}\ \bibnamefont {Bernien}}, \bibinfo {author}
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{\bibfnamefont {Markus}\ \bibnamefont {Greiner}}, \bibinfo {author}
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{\bibfnamefont {Vladan}\ \bibnamefont {Vuleti\ifmmode~\acute{c}\else
|
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\'{c}\fi{}}}, \bibinfo {author} {\bibfnamefont {Hannes}\ \bibnamefont
|
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{Pichler}}, \ and\ \bibinfo {author} {\bibfnamefont {Mikhail~D.}\
|
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\bibnamefont {Lukin}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
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{Parallel implementation of high-fidelity multiqubit gates with neutral
|
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atoms},}\ }\href {\doibase 10.1103/PhysRevLett.123.170503} {\bibfield
|
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{journal} {\bibinfo {journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo
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{volume} {123}},\ \bibinfo {pages} {170503} (\bibinfo {year}
|
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{2019})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Samajdar}\ \emph {et~al.}(2020)\citenamefont
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{Samajdar}, \citenamefont {Ho}, \citenamefont {Pichler}, \citenamefont
|
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{Lukin},\ and\ \citenamefont {Sachdev}}]{Samajdar2020}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Rhine}\ \bibnamefont
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{Samajdar}}, \bibinfo {author} {\bibfnamefont {Wen~Wei}\ \bibnamefont {Ho}},
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\bibinfo {author} {\bibfnamefont {Hannes}\ \bibnamefont {Pichler}}, \bibinfo
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{author} {\bibfnamefont {Mikhail~D.}\ \bibnamefont {Lukin}}, \ and\ \bibinfo
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{author} {\bibfnamefont {Subir}\ \bibnamefont {Sachdev}},\ }\bibfield
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{title} {\enquote {\bibinfo {title} {Complex density wave orders and quantum
|
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phase transitions in a model of square-lattice rydberg atom arrays},}\ }\href
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{\doibase 10.1103/PhysRevLett.124.103601} {\bibfield {journal} {\bibinfo
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{journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {124}},\ \bibinfo
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{pages} {103601} (\bibinfo {year} {2020})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {White}(1992)}]{PhysRevLett.69.2863}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Steven~R.}\
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\bibnamefont {White}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
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{Density matrix formulation for quantum renormalization groups},}\ }\href
|
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{\doibase 10.1103/PhysRevLett.69.2863} {\bibfield {journal} {\bibinfo
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{journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {69}},\ \bibinfo
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{pages} {2863--2866} (\bibinfo {year} {1992})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {White}(1993)}]{PhysRevB.48.10345}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Steven~R.}\
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\bibnamefont {White}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
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{Density-matrix algorithms for quantum renormalization groups},}\ }\href
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{\doibase 10.1103/PhysRevB.48.10345} {\bibfield {journal} {\bibinfo
|
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{journal} {Phys. Rev. B}\ }\textbf {\bibinfo {volume} {48}},\ \bibinfo
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{pages} {10345--10356} (\bibinfo {year} {1993})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Schollwoeck}(2011)}]{SCHOLLWOCK201196}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Ulrich}\ \bibnamefont
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{Schollwoeck}},\ }\bibfield {title} {\enquote {\bibinfo {title} {The
|
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density-matrix renormalization group in the age of matrix product states},}\
|
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}\href {\doibase https://doi.org/10.1016/j.aop.2010.09.012} {\bibfield
|
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{journal} {\bibinfo {journal} {Annals of Physics}\ }\textbf {\bibinfo
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{volume} {326}},\ \bibinfo {pages} {96 -- 192} (\bibinfo {year} {2011})},\
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\bibinfo {note} {january 2011 Special Issue}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {{Fishman}}\ \emph {et~al.}(2020)\citenamefont
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{{Fishman}}, \citenamefont {{White}},\ and\ \citenamefont {{Miles
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Stoudenmire}}}]{itensor}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Matthew}\ \bibnamefont
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{{Fishman}}}, \bibinfo {author} {\bibfnamefont {Steven~R.}\ \bibnamefont
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{{White}}}, \ and\ \bibinfo {author} {\bibfnamefont {E.}~\bibnamefont {{Miles
|
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Stoudenmire}}},\ }\bibfield {title} {\enquote {\bibinfo {title} {{The
|
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ITensor Software Library for Tensor Network Calculations}},}\ }\href@noop {}
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{\bibfield {journal} {\bibinfo {journal} {arXiv e-prints}\ ,\ \bibinfo
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{eid} {arXiv:2007.14822}} (\bibinfo {year} {2020})},\ \Eprint
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{http://arxiv.org/abs/2007.14822} {arXiv:2007.14822 [cs.MS]} \BibitemShut
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\bibitem [{\citenamefont {Ferris}\ and\ \citenamefont
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{Vidal}(2012)}]{PhysRevB.85.165146}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Andrew~J.}\
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\bibnamefont {Ferris}}\ and\ \bibinfo {author} {\bibfnamefont {Guifre}\
|
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\bibnamefont {Vidal}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
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{Perfect sampling with unitary tensor networks},}\ }\href {\doibase
|
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10.1103/PhysRevB.85.165146} {\bibfield {journal} {\bibinfo {journal} {Phys.
|
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Rev. B}\ }\textbf {\bibinfo {volume} {85}},\ \bibinfo {pages} {165146}
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(\bibinfo {year} {2012})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Basko}\ \emph {et~al.}(2006)\citenamefont {Basko},
|
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\citenamefont {Aleiner},\ and\ \citenamefont {Altshuler}}]{basko2006}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {D.~M.}\ \bibnamefont
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{Basko}}, \bibinfo {author} {\bibfnamefont {I.~L.}\ \bibnamefont {Aleiner}},
|
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\ and\ \bibinfo {author} {\bibfnamefont {B.~L.}\ \bibnamefont {Altshuler}},\
|
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}\bibfield {title} {\enquote {\bibinfo {title} {Metal\textendash insulator
|
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transition in a weakly interacting many-electron system with localized
|
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single-particle states},}\ }\href {\doibase 10.1016/j.aop.2005.11.014}
|
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{\bibfield {journal} {\bibinfo {journal} {Annals of Physics}\ }\textbf
|
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{\bibinfo {volume} {321}},\ \bibinfo {pages} {1126--1205} (\bibinfo {year}
|
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{2006})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Abanin}\ \emph {et~al.}(2019)\citenamefont {Abanin},
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\citenamefont {Altman}, \citenamefont {Bloch},\ and\ \citenamefont
|
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{Serbyn}}]{RevModPhys.91.021001}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Dmitry~A.}\
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\bibnamefont {Abanin}}, \bibinfo {author} {\bibfnamefont {Ehud}\ \bibnamefont
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{Altman}}, \bibinfo {author} {\bibfnamefont {Immanuel}\ \bibnamefont
|
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{Bloch}}, \ and\ \bibinfo {author} {\bibfnamefont {Maksym}\ \bibnamefont
|
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{Serbyn}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Colloquium:
|
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Many-body localization, thermalization, and entanglement},}\ }\href {\doibase
|
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10.1103/RevModPhys.91.021001} {\bibfield {journal} {\bibinfo {journal}
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{Rev. Mod. Phys.}\ }\textbf {\bibinfo {volume} {91}},\ \bibinfo {pages}
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{021001} (\bibinfo {year} {2019})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Savary}\ and\ \citenamefont
|
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{Balents}(2016)}]{savaryQuantumSpinLiquids2016}%
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Lucile}\ \bibnamefont
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{Savary}}\ and\ \bibinfo {author} {\bibfnamefont {Leon}\ \bibnamefont
|
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{Balents}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Quantum spin
|
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liquids: A review},}\ }\href {\doibase 10.1088/0034-4885/80/1/016502}
|
|
{\bibfield {journal} {\bibinfo {journal} {Reports on Progress in Physics}\
|
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}\textbf {\bibinfo {volume} {80}},\ \bibinfo {pages} {016502} (\bibinfo
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{year} {2016})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Knolle}\ and\ \citenamefont
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{Moessner}(2019)}]{doi:10.1146/annurev-conmatphys-031218-013401}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {J.}~\bibnamefont
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{Knolle}}\ and\ \bibinfo {author} {\bibfnamefont {R.}~\bibnamefont
|
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{Moessner}},\ }\bibfield {title} {\enquote {\bibinfo {title} {A field guide
|
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to spin liquids},}\ }\href {\doibase
|
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10.1146/annurev-conmatphys-031218-013401} {\bibfield {journal} {\bibinfo
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{journal} {Annual Review of Condensed Matter Physics}\ }\textbf {\bibinfo
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{volume} {10}},\ \bibinfo {pages} {451--472} (\bibinfo {year} {2019})},\
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\Eprint
|
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{http://arxiv.org/abs/https://doi.org/10.1146/annurev-conmatphys-031218-013401}
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{https://doi.org/10.1146/annurev-conmatphys-031218-013401} \BibitemShut
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\bibitem [{\citenamefont {Broecker}\ \emph
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{et~al.}(2017{\natexlab{b}})\citenamefont {Broecker}, \citenamefont
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{Assaad},\ and\ \citenamefont {Trebst}}]{broecker2017b}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Peter}\ \bibnamefont
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{Broecker}}, \bibinfo {author} {\bibfnamefont {Fakher~F.}\ \bibnamefont
|
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{Assaad}}, \ and\ \bibinfo {author} {\bibfnamefont {Simon}\ \bibnamefont
|
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{Trebst}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Quantum phase
|
|
recognition via unsupervised machine learning},}\ }\href@noop {} {\bibfield
|
|
{journal} {\bibinfo {journal} {arXiv:1707.00663 [cond-mat]}\ } (\bibinfo
|
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{year} {2017}{\natexlab{b}})},\ \Eprint {http://arxiv.org/abs/1707.00663}
|
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{arXiv:1707.00663 [cond-mat]} \BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Wetzel}(2017)}]{PhysRevE.96.022140}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Sebastian~J.}\
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\bibnamefont {Wetzel}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
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{Unsupervised learning of phase transitions: From principal component
|
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analysis to variational autoencoders},}\ }\href {\doibase
|
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10.1103/PhysRevE.96.022140} {\bibfield {journal} {\bibinfo {journal} {Phys.
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Rev. E}\ }\textbf {\bibinfo {volume} {96}},\ \bibinfo {pages} {022140}
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(\bibinfo {year} {2017})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {{Rodriguez-Nieva}}\ and\ \citenamefont
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{Scheurer}(2019)}]{rodriguez-nieva2019}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Joaquin~F.}\
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\bibnamefont {{Rodriguez-Nieva}}}\ and\ \bibinfo {author} {\bibfnamefont
|
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{Mathias~S.}\ \bibnamefont {Scheurer}},\ }\bibfield {title} {\enquote
|
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{\bibinfo {title} {Identifying topological order through unsupervised machine
|
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learning},}\ }\href {\doibase 10.1038/s41567-019-0512-x} {\bibfield
|
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{journal} {\bibinfo {journal} {Nature Physics}\ }\textbf {\bibinfo {volume}
|
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{15}},\ \bibinfo {pages} {790--795} (\bibinfo {year} {2019})}\BibitemShut
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{NoStop}%
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\bibitem [{\citenamefont {Lustig}\ \emph {et~al.}(2020)\citenamefont {Lustig},
|
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\citenamefont {Yair}, \citenamefont {Talmon},\ and\ \citenamefont
|
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{Segev}}]{PhysRevLett.125.127401}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Eran}\ \bibnamefont
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{Lustig}}, \bibinfo {author} {\bibfnamefont {Or}~\bibnamefont {Yair}},
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\bibinfo {author} {\bibfnamefont {Ronen}\ \bibnamefont {Talmon}}, \ and\
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\bibinfo {author} {\bibfnamefont {Mordechai}\ \bibnamefont {Segev}},\
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}\bibfield {title} {\enquote {\bibinfo {title} {Identifying topological
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phase transitions in experiments using manifold learning},}\ }\href {\doibase
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10.1103/PhysRevLett.125.127401} {\bibfield {journal} {\bibinfo {journal}
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{Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {125}},\ \bibinfo {pages}
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{127401} (\bibinfo {year} {2020})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Rao}(2018)}]{rao2018}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Wen-Jia}\ \bibnamefont
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{Rao}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Machine learning
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the many-body localization transition in random spin systems},}\ }\href
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{\doibase 10.1088/1361-648X/aaddc6} {\bibfield {journal} {\bibinfo
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{journal} {Journal of Physics: Condensed Matter}\ }\textbf {\bibinfo {volume}
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{30}},\ \bibinfo {pages} {395902} (\bibinfo {year} {2018})}\BibitemShut
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{NoStop}%
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\bibitem [{\citenamefont {Venderley}\ \emph {et~al.}(2018)\citenamefont
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{Venderley}, \citenamefont {Khemani},\ and\ \citenamefont
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{Kim}}]{PhysRevLett.120.257204}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Jordan}\ \bibnamefont
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{Venderley}}, \bibinfo {author} {\bibfnamefont {Vedika}\ \bibnamefont
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{Khemani}}, \ and\ \bibinfo {author} {\bibfnamefont {Eun-Ah}\ \bibnamefont
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{Kim}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Machine learning
|
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out-of-equilibrium phases of matter},}\ }\href {\doibase
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10.1103/PhysRevLett.120.257204} {\bibfield {journal} {\bibinfo {journal}
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{Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {120}},\ \bibinfo {pages}
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{257204} (\bibinfo {year} {2018})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Dong}\ \emph {et~al.}(2019)\citenamefont {Dong},
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\citenamefont {Pollmann},\ and\ \citenamefont {Zhang}}]{PhysRevB.99.121104}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Xiao-Yu}\ \bibnamefont
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{Dong}}, \bibinfo {author} {\bibfnamefont {Frank}\ \bibnamefont {Pollmann}},
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\ and\ \bibinfo {author} {\bibfnamefont {Xue-Feng}\ \bibnamefont {Zhang}},\
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}\bibfield {title} {\enquote {\bibinfo {title} {Machine learning of quantum
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phase transitions},}\ }\href {\doibase 10.1103/PhysRevB.99.121104} {\bibfield
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{journal} {\bibinfo {journal} {Phys. Rev. B}\ }\textbf {\bibinfo {volume}
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{99}},\ \bibinfo {pages} {121104} (\bibinfo {year} {2019})}\BibitemShut
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{NoStop}%
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\bibitem [{\citenamefont {Tsai}\ \emph {et~al.}(2020)\citenamefont {Tsai},
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\citenamefont {Yu}, \citenamefont {Hsu},\ and\ \citenamefont
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{Chung}}]{PhysRevB.102.054512}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Yuan-Hong}\
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\bibnamefont {Tsai}}, \bibinfo {author} {\bibfnamefont {Meng-Zhe}\
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\bibnamefont {Yu}}, \bibinfo {author} {\bibfnamefont {Yu-Hao}\ \bibnamefont
|
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{Hsu}}, \ and\ \bibinfo {author} {\bibfnamefont {Ming-Chiang}\ \bibnamefont
|
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{Chung}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Deep learning of
|
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topological phase transitions from entanglement aspects},}\ }\href {\doibase
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10.1103/PhysRevB.102.054512} {\bibfield {journal} {\bibinfo {journal}
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{Phys. Rev. B}\ }\textbf {\bibinfo {volume} {102}},\ \bibinfo {pages}
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{054512} (\bibinfo {year} {2020})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Kottmann}\ \emph {et~al.}(2020)\citenamefont
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{Kottmann}, \citenamefont {Huembeli}, \citenamefont {Lewenstein},\ and\
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\citenamefont {Ac\'{\i}n}}]{PhysRevLett.125.170603}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Korbinian}\
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\bibnamefont {Kottmann}}, \bibinfo {author} {\bibfnamefont {Patrick}\
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\bibnamefont {Huembeli}}, \bibinfo {author} {\bibfnamefont {Maciej}\
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\bibnamefont {Lewenstein}}, \ and\ \bibinfo {author} {\bibfnamefont
|
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{Antonio}\ \bibnamefont {Ac\'{\i}n}},\ }\bibfield {title} {\enquote
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{\bibinfo {title} {Unsupervised phase discovery with deep anomaly
|
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detection},}\ }\href {\doibase 10.1103/PhysRevLett.125.170603} {\bibfield
|
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{journal} {\bibinfo {journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo
|
|
{volume} {125}},\ \bibinfo {pages} {170603} (\bibinfo {year}
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{2020})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Berezutskii}\ \emph {et~al.}(2020)\citenamefont
|
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{Berezutskii}, \citenamefont {Beketov}, \citenamefont {Yudin}, \citenamefont
|
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{Zimbor{\'a}s},\ and\ \citenamefont {Biamonte}}]{berezutskii2020}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {A.}~\bibnamefont
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{Berezutskii}}, \bibinfo {author} {\bibfnamefont {M.}~\bibnamefont
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{Beketov}}, \bibinfo {author} {\bibfnamefont {D.}~\bibnamefont {Yudin}},
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\bibinfo {author} {\bibfnamefont {Z.}~\bibnamefont {Zimbor{\'a}s}}, \ and\
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\bibinfo {author} {\bibfnamefont {J.~D.}\ \bibnamefont {Biamonte}},\
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|
}\bibfield {title} {\enquote {\bibinfo {title} {Probing criticality in
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quantum spin chains with neural networks},}\ }\href {\doibase
|
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10.1088/2632-072X/abaa2b} {\bibfield {journal} {\bibinfo {journal} {Journal
|
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of Physics: Complexity}\ }\textbf {\bibinfo {volume} {1}},\ \bibinfo {pages}
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{03LT01} (\bibinfo {year} {2020})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Khatami}\ \emph {et~al.}(2020)\citenamefont
|
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{Khatami}, \citenamefont {Guardado-Sanchez}, \citenamefont {Spar},
|
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\citenamefont {Carrasquilla}, \citenamefont {Bakr},\ and\ \citenamefont
|
|
{Scalettar}}]{PhysRevA.102.033326}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Ehsan}\ \bibnamefont
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{Khatami}}, \bibinfo {author} {\bibfnamefont {Elmer}\ \bibnamefont
|
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{Guardado-Sanchez}}, \bibinfo {author} {\bibfnamefont {Benjamin~M.}\
|
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\bibnamefont {Spar}}, \bibinfo {author} {\bibfnamefont {Juan~Felipe}\
|
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\bibnamefont {Carrasquilla}}, \bibinfo {author} {\bibfnamefont {Waseem~S.}\
|
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\bibnamefont {Bakr}}, \ and\ \bibinfo {author} {\bibfnamefont {Richard~T.}\
|
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\bibnamefont {Scalettar}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
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{Visualizing strange metallic correlations in the two-dimensional
|
|
fermi-hubbard model with artificial intelligence},}\ }\href {\doibase
|
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10.1103/PhysRevA.102.033326} {\bibfield {journal} {\bibinfo {journal}
|
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{Phys. Rev. A}\ }\textbf {\bibinfo {volume} {102}},\ \bibinfo {pages}
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{033326} (\bibinfo {year} {2020})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Baydin}\ \emph {et~al.}(2017)\citenamefont {Baydin},
|
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\citenamefont {Pearlmutter}, \citenamefont {Radul},\ and\ \citenamefont
|
|
{Siskind}}]{AD_2017}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Atilim~Gunes}\
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\bibnamefont {Baydin}}, \bibinfo {author} {\bibfnamefont {Barak~A.}\
|
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\bibnamefont {Pearlmutter}}, \bibinfo {author} {\bibfnamefont
|
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{Alexey~Andreyevich}\ \bibnamefont {Radul}}, \ and\ \bibinfo {author}
|
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{\bibfnamefont {Jeffrey~Mark}\ \bibnamefont {Siskind}},\ }\bibfield {title}
|
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{\enquote {\bibinfo {title} {Automatic differentiation in machine learning: A
|
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survey},}\ }\href@noop {} {\bibfield {journal} {\bibinfo {journal} {J.
|
|
Mach. Learn. Res.}\ }\textbf {\bibinfo {volume} {18}} (\bibinfo {year}
|
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{2017})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {{Kingma}}\ and\ \citenamefont
|
|
{{Ba}}(2014)}]{2014arXiv1412.6980K}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Diederik~P.}\
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\bibnamefont {{Kingma}}}\ and\ \bibinfo {author} {\bibfnamefont {Jimmy}\
|
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\bibnamefont {{Ba}}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
|
{{Adam: A Method for Stochastic Optimization}},}\ }\href@noop {} {\bibfield
|
|
{journal} {\bibinfo {journal} {arXiv e-prints}\ ,\ \bibinfo {eid}
|
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{arXiv:1412.6980}} (\bibinfo {year} {2014})},\ \Eprint
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{http://arxiv.org/abs/1412.6980} {arXiv:1412.6980 [cs.LG]} \BibitemShut
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{NoStop}%
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\bibitem [{\citenamefont {Abadi}\ \emph {et~al.}(2015)\citenamefont {Abadi},
|
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\citenamefont {Agarwal}, \citenamefont {Barham}, \citenamefont {Brevdo},
|
|
\citenamefont {Chen}, \citenamefont {Citro}, \citenamefont {Corrado},
|
|
\citenamefont {Davis}, \citenamefont {Dean}, \citenamefont {Devin},
|
|
\citenamefont {Ghemawat}, \citenamefont {Goodfellow}, \citenamefont {Harp},
|
|
\citenamefont {Irving}, \citenamefont {Isard}, \citenamefont {Jia},
|
|
\citenamefont {Jozefowicz}, \citenamefont {Kaiser}, \citenamefont {Kudlur},
|
|
\citenamefont {Levenberg}, \citenamefont {Man\'{e}}, \citenamefont {Monga},
|
|
\citenamefont {Moore}, \citenamefont {Murray}, \citenamefont {Olah},
|
|
\citenamefont {Schuster}, \citenamefont {Shlens}, \citenamefont {Steiner},
|
|
\citenamefont {Sutskever}, \citenamefont {Talwar}, \citenamefont {Tucker},
|
|
\citenamefont {Vanhoucke}, \citenamefont {Vasudevan}, \citenamefont
|
|
{Vi\'{e}gas}, \citenamefont {Vinyals}, \citenamefont {Warden}, \citenamefont
|
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{Wattenberg}, \citenamefont {Wicke}, \citenamefont {Yu},\ and\ \citenamefont
|
|
{Zheng}}]{tensorflow}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Mart\'{\i}n}\
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\bibnamefont {Abadi}}, \bibinfo {author} {\bibfnamefont {Ashish}\
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\bibnamefont {Agarwal}}, \bibinfo {author} {\bibfnamefont {Paul}\
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\bibnamefont {Barham}}, \bibinfo {author} {\bibfnamefont {Eugene}\
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\bibnamefont {Brevdo}}, \bibinfo {author} {\bibfnamefont {Zhifeng}\
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\bibnamefont {Chen}}, \bibinfo {author} {\bibfnamefont {Craig}\ \bibnamefont
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{Citro}}, \bibinfo {author} {\bibfnamefont {Greg~S.}\ \bibnamefont
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{Corrado}}, \bibinfo {author} {\bibfnamefont {Andy}\ \bibnamefont {Davis}},
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\bibinfo {author} {\bibfnamefont {Jeffrey}\ \bibnamefont {Dean}}, \bibinfo
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{author} {\bibfnamefont {Matthieu}\ \bibnamefont {Devin}}, \bibinfo {author}
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{\bibfnamefont {Sanjay}\ \bibnamefont {Ghemawat}}, \bibinfo {author}
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{\bibfnamefont {Ian}\ \bibnamefont {Goodfellow}}, \bibinfo {author}
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{\bibfnamefont {Andrew}\ \bibnamefont {Harp}}, \bibinfo {author}
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{\bibfnamefont {Geoffrey}\ \bibnamefont {Irving}}, \bibinfo {author}
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{\bibfnamefont {Michael}\ \bibnamefont {Isard}}, \bibinfo {author}
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{\bibfnamefont {Yangqing}\ \bibnamefont {Jia}}, \bibinfo {author}
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{\bibfnamefont {Rafal}\ \bibnamefont {Jozefowicz}}, \bibinfo {author}
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{\bibfnamefont {Lukasz}\ \bibnamefont {Kaiser}}, \bibinfo {author}
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{\bibfnamefont {Manjunath}\ \bibnamefont {Kudlur}}, \bibinfo {author}
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{\bibfnamefont {Josh}\ \bibnamefont {Levenberg}}, \bibinfo {author}
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{\bibfnamefont {Dan}\ \bibnamefont {Man\'{e}}}, \bibinfo {author}
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{\bibfnamefont {Rajat}\ \bibnamefont {Monga}}, \bibinfo {author}
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{\bibfnamefont {Sherry}\ \bibnamefont {Moore}}, \bibinfo {author}
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{\bibfnamefont {Derek}\ \bibnamefont {Murray}}, \bibinfo {author}
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{\bibfnamefont {Chris}\ \bibnamefont {Olah}}, \bibinfo {author}
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{\bibfnamefont {Mike}\ \bibnamefont {Schuster}}, \bibinfo {author}
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{\bibfnamefont {Jonathon}\ \bibnamefont {Shlens}}, \bibinfo {author}
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{\bibfnamefont {Benoit}\ \bibnamefont {Steiner}}, \bibinfo {author}
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{\bibfnamefont {Ilya}\ \bibnamefont {Sutskever}}, \bibinfo {author}
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{\bibfnamefont {Kunal}\ \bibnamefont {Talwar}}, \bibinfo {author}
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{\bibfnamefont {Paul}\ \bibnamefont {Tucker}}, \bibinfo {author}
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{\bibfnamefont {Vincent}\ \bibnamefont {Vanhoucke}}, \bibinfo {author}
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{\bibfnamefont {Vijay}\ \bibnamefont {Vasudevan}}, \bibinfo {author}
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{\bibfnamefont {Fernanda}\ \bibnamefont {Vi\'{e}gas}}, \bibinfo {author}
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{\bibfnamefont {Oriol}\ \bibnamefont {Vinyals}}, \bibinfo {author}
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{\bibfnamefont {Pete}\ \bibnamefont {Warden}}, \bibinfo {author}
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{\bibfnamefont {Martin}\ \bibnamefont {Wattenberg}}, \bibinfo {author}
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{\bibfnamefont {Martin}\ \bibnamefont {Wicke}}, \bibinfo {author}
|
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{\bibfnamefont {Yuan}\ \bibnamefont {Yu}}, \ and\ \bibinfo {author}
|
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{\bibfnamefont {Xiaoqiang}\ \bibnamefont {Zheng}},\ }\href
|
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{http://tensorflow.org/} {\enquote {\bibinfo {title} {{TensorFlow}:
|
|
Large-scale machine learning on heterogeneous systems},}\ } (\bibinfo {year}
|
|
{2015}),\ \bibinfo {note} {software available from
|
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tensorflow.org}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Eisert}\ \emph {et~al.}(2020)\citenamefont {Eisert},
|
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\citenamefont {Hangleiter}, \citenamefont {Walk}, \citenamefont {Roth},
|
|
\citenamefont {Markham}, \citenamefont {Parekh}, \citenamefont {Chabaud},\
|
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and\ \citenamefont {Kashefi}}]{eisert_quantum_2020}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Jens}\ \bibnamefont
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{Eisert}}, \bibinfo {author} {\bibfnamefont {Dominik}\ \bibnamefont
|
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{Hangleiter}}, \bibinfo {author} {\bibfnamefont {Nathan}\ \bibnamefont
|
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{Walk}}, \bibinfo {author} {\bibfnamefont {Ingo}\ \bibnamefont {Roth}},
|
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\bibinfo {author} {\bibfnamefont {Damian}\ \bibnamefont {Markham}}, \bibinfo
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{author} {\bibfnamefont {Rhea}\ \bibnamefont {Parekh}}, \bibinfo {author}
|
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{\bibfnamefont {Ulysse}\ \bibnamefont {Chabaud}}, \ and\ \bibinfo {author}
|
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{\bibfnamefont {Elham}\ \bibnamefont {Kashefi}},\ }\bibfield {title}
|
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{\enquote {\bibinfo {title} {Quantum certification and benchmarking},}\
|
|
}\href {\doibase 10.1038/s42254-020-0186-4} {\bibfield {journal} {\bibinfo
|
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{journal} {Nature Reviews Physics}\ }\textbf {\bibinfo {volume} {2}},\
|
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\bibinfo {pages} {382--390} (\bibinfo {year} {2020})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Knill}\ \emph {et~al.}(2008)\citenamefont {Knill},
|
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\citenamefont {Leibfried}, \citenamefont {Reichle}, \citenamefont {Britton},
|
|
\citenamefont {Blakestad}, \citenamefont {Jost}, \citenamefont {Langer},
|
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\citenamefont {Ozeri}, \citenamefont {Seidelin},\ and\ \citenamefont
|
|
{Wineland}}]{PhysRevA.77.012307}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {E.}~\bibnamefont
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{Knill}}, \bibinfo {author} {\bibfnamefont {D.}~\bibnamefont {Leibfried}},
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\bibinfo {author} {\bibfnamefont {R.}~\bibnamefont {Reichle}}, \bibinfo
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{author} {\bibfnamefont {J.}~\bibnamefont {Britton}}, \bibinfo {author}
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{\bibfnamefont {R.~B.}\ \bibnamefont {Blakestad}}, \bibinfo {author}
|
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{\bibfnamefont {J.~D.}\ \bibnamefont {Jost}}, \bibinfo {author}
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{\bibfnamefont {C.}~\bibnamefont {Langer}}, \bibinfo {author} {\bibfnamefont
|
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{R.}~\bibnamefont {Ozeri}}, \bibinfo {author} {\bibfnamefont
|
|
{S.}~\bibnamefont {Seidelin}}, \ and\ \bibinfo {author} {\bibfnamefont
|
|
{D.~J.}\ \bibnamefont {Wineland}},\ }\bibfield {title} {\enquote {\bibinfo
|
|
{title} {Randomized benchmarking of quantum gates},}\ }\href {\doibase
|
|
10.1103/PhysRevA.77.012307} {\bibfield {journal} {\bibinfo {journal} {Phys.
|
|
Rev. A}\ }\textbf {\bibinfo {volume} {77}},\ \bibinfo {pages} {012307}
|
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(\bibinfo {year} {2008})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Magesan}\ \emph {et~al.}(2012)\citenamefont
|
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{Magesan}, \citenamefont {Gambetta},\ and\ \citenamefont
|
|
{Emerson}}]{PhysRevA.85.042311}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Easwar}\ \bibnamefont
|
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{Magesan}}, \bibinfo {author} {\bibfnamefont {Jay~M.}\ \bibnamefont
|
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{Gambetta}}, \ and\ \bibinfo {author} {\bibfnamefont {Joseph}\ \bibnamefont
|
|
{Emerson}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Characterizing
|
|
quantum gates via randomized benchmarking},}\ }\href {\doibase
|
|
10.1103/PhysRevA.85.042311} {\bibfield {journal} {\bibinfo {journal} {Phys.
|
|
Rev. A}\ }\textbf {\bibinfo {volume} {85}},\ \bibinfo {pages} {042311}
|
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(\bibinfo {year} {2012})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Harper}\ \emph {et~al.}(2019)\citenamefont {Harper},
|
|
\citenamefont {Hincks}, \citenamefont {Ferrie}, \citenamefont {Flammia},\
|
|
and\ \citenamefont {Wallman}}]{PhysRevA.99.052350}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Robin}\ \bibnamefont
|
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{Harper}}, \bibinfo {author} {\bibfnamefont {Ian}\ \bibnamefont {Hincks}},
|
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\bibinfo {author} {\bibfnamefont {Chris}\ \bibnamefont {Ferrie}}, \bibinfo
|
|
{author} {\bibfnamefont {Steven~T.}\ \bibnamefont {Flammia}}, \ and\ \bibinfo
|
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{author} {\bibfnamefont {Joel~J.}\ \bibnamefont {Wallman}},\ }\bibfield
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{title} {\enquote {\bibinfo {title} {Statistical analysis of randomized
|
|
benchmarking},}\ }\href {\doibase 10.1103/PhysRevA.99.052350} {\bibfield
|
|
{journal} {\bibinfo {journal} {Phys. Rev. A}\ }\textbf {\bibinfo {volume}
|
|
{99}},\ \bibinfo {pages} {052350} (\bibinfo {year} {2019})}\BibitemShut
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{NoStop}%
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\bibitem [{\citenamefont {Flammia}\ and\ \citenamefont
|
|
{Liu}(2011)}]{PhysRevLett.106.230501}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Steven~T.}\
|
|
\bibnamefont {Flammia}}\ and\ \bibinfo {author} {\bibfnamefont {Yi-Kai}\
|
|
\bibnamefont {Liu}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Direct
|
|
fidelity estimation from few pauli measurements},}\ }\href {\doibase
|
|
10.1103/PhysRevLett.106.230501} {\bibfield {journal} {\bibinfo {journal}
|
|
{Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {106}},\ \bibinfo {pages}
|
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{230501} (\bibinfo {year} {2011})}\BibitemShut {NoStop}%
|
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\bibitem [{\citenamefont {Aolita}\ \emph {et~al.}(2015)\citenamefont {Aolita},
|
|
\citenamefont {Gogolin}, \citenamefont {Kliesch},\ and\ \citenamefont
|
|
{Eisert}}]{aolita_reliable_2015}%
|
|
\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Leandro}\ \bibnamefont
|
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{Aolita}}, \bibinfo {author} {\bibfnamefont {Christian}\ \bibnamefont
|
|
{Gogolin}}, \bibinfo {author} {\bibfnamefont {Martin}\ \bibnamefont
|
|
{Kliesch}}, \ and\ \bibinfo {author} {\bibfnamefont {Jens}\ \bibnamefont
|
|
{Eisert}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Reliable quantum
|
|
certification of photonic state preparations},}\ }\href {\doibase
|
|
10.1038/ncomms9498} {\bibfield {journal} {\bibinfo {journal} {Nature
|
|
Communications}\ }\textbf {\bibinfo {volume} {6}},\ \bibinfo {pages} {8498}
|
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(\bibinfo {year} {2015})}\BibitemShut {NoStop}%
|
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\bibitem [{\citenamefont {Gluza}\ \emph {et~al.}(2018)\citenamefont {Gluza},
|
|
\citenamefont {Kliesch}, \citenamefont {Eisert},\ and\ \citenamefont
|
|
{Aolita}}]{PhysRevLett.120.190501}%
|
|
\BibitemOpen
|
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {M.}~\bibnamefont
|
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{Gluza}}, \bibinfo {author} {\bibfnamefont {M.}~\bibnamefont {Kliesch}},
|
|
\bibinfo {author} {\bibfnamefont {J.}~\bibnamefont {Eisert}}, \ and\ \bibinfo
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{author} {\bibfnamefont {L.}~\bibnamefont {Aolita}},\ }\bibfield {title}
|
|
{\enquote {\bibinfo {title} {Fidelity witnesses for fermionic quantum
|
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simulations},}\ }\href {\doibase 10.1103/PhysRevLett.120.190501} {\bibfield
|
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{journal} {\bibinfo {journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo
|
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{volume} {120}},\ \bibinfo {pages} {190501} (\bibinfo {year}
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{2018})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Vogel}\ and\ \citenamefont {Risken}(1989)}]{vogel89}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {K.}~\bibnamefont
|
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{Vogel}}\ and\ \bibinfo {author} {\bibfnamefont {H.}~\bibnamefont {Risken}},\
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|
}\bibfield {title} {\enquote {\bibinfo {title} {Determination of
|
|
quasiprobability distributions in terms of probability distributions for the
|
|
rotated quadrature phase},}\ }\href {\doibase 10.1103/PhysRevA.40.2847}
|
|
{\bibfield {journal} {\bibinfo {journal} {Phys. Rev. A}\ }\textbf {\bibinfo
|
|
{volume} {40}},\ \bibinfo {pages} {2847--2849} (\bibinfo {year}
|
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{1989})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Hradil}(1997)}]{PhysRevA.55.R1561}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Z.}~\bibnamefont
|
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{Hradil}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Quantum-state
|
|
estimation},}\ }\href {\doibase 10.1103/PhysRevA.55.R1561} {\bibfield
|
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{journal} {\bibinfo {journal} {Phys. Rev. A}\ }\textbf {\bibinfo {volume}
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{55}},\ \bibinfo {pages} {R1561--R1564} (\bibinfo {year} {1997})}\BibitemShut
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{NoStop}%
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\bibitem [{\citenamefont {\ifmmode \check{R}\else
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\v{R}\fi{}eh\'a\ifmmode~\check{c}\else \v{c}\fi{}ek}\ \emph
|
|
{et~al.}(2001)\citenamefont {\ifmmode \check{R}\else
|
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\v{R}\fi{}eh\'a\ifmmode~\check{c}\else \v{c}\fi{}ek}, \citenamefont
|
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{Hradil},\ and\ \citenamefont {Je\ifmmode~\check{z}\else
|
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\v{z}\fi{}ek}}]{PhysRevA.63.040303}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {J.}~\bibnamefont
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{\ifmmode \check{R}\else \v{R}\fi{}eh\'a\ifmmode~\check{c}\else
|
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\v{c}\fi{}ek}}, \bibinfo {author} {\bibfnamefont {Z.}~\bibnamefont {Hradil}},
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\ and\ \bibinfo {author} {\bibfnamefont {M.}~\bibnamefont
|
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{Je\ifmmode~\check{z}\else \v{z}\fi{}ek}},\ }\bibfield {title} {\enquote
|
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{\bibinfo {title} {Iterative algorithm for reconstruction of entangled
|
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states},}\ }\href {\doibase 10.1103/PhysRevA.63.040303} {\bibfield {journal}
|
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{\bibinfo {journal} {Phys. Rev. A}\ }\textbf {\bibinfo {volume} {63}},\
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\bibinfo {pages} {040303} (\bibinfo {year} {2001})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {James}\ \emph {et~al.}(2001)\citenamefont {James},
|
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\citenamefont {Kwiat}, \citenamefont {Munro},\ and\ \citenamefont
|
|
{White}}]{PhysRevA.64.052312}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Daniel F.~V.}\
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\bibnamefont {James}}, \bibinfo {author} {\bibfnamefont {Paul~G.}\
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\bibnamefont {Kwiat}}, \bibinfo {author} {\bibfnamefont {William~J.}\
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\bibnamefont {Munro}}, \ and\ \bibinfo {author} {\bibfnamefont {Andrew~G.}\
|
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\bibnamefont {White}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
|
{Measurement of qubits},}\ }\href {\doibase 10.1103/PhysRevA.64.052312}
|
|
{\bibfield {journal} {\bibinfo {journal} {Phys. Rev. A}\ }\textbf {\bibinfo
|
|
{volume} {64}},\ \bibinfo {pages} {052312} (\bibinfo {year}
|
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{2001})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Je{\v{z}}ek}\ \emph {et~al.}(2003)\citenamefont
|
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{Je{\v{z}}ek}, \citenamefont {Fiur{\'{a}}{\v{s}}ek},\ and\ \citenamefont
|
|
{Hradil}}]{Jezek2003}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Miroslav}\
|
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\bibnamefont {Je{\v{z}}ek}}, \bibinfo {author} {\bibfnamefont
|
|
{Jarom{\'{i}}r}\ \bibnamefont {Fiur{\'{a}}{\v{s}}ek}}, \ and\ \bibinfo
|
|
{author} {\bibfnamefont {Zden{\v{e}}k}\ \bibnamefont {Hradil}},\ }\bibfield
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{title} {\enquote {\bibinfo {title} {{Quantum inference of states and
|
|
processes}},}\ }\href {\doibase 10.1103/PhysRevA.68.012305} {\bibfield
|
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{journal} {\bibinfo {journal} {Physical Review A}\ }\textbf {\bibinfo
|
|
{volume} {68}},\ \bibinfo {pages} {012305} (\bibinfo {year}
|
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{2003})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Blume-Kohout}(2010)}]{Blume_Kohout_2010}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Robin}\ \bibnamefont
|
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{Blume-Kohout}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Optimal,
|
|
reliable estimation of quantum states},}\ }\href {\doibase
|
|
10.1088/1367-2630/12/4/043034} {\bibfield {journal} {\bibinfo {journal}
|
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{New Journal of Physics}\ }\textbf {\bibinfo {volume} {12}},\ \bibinfo
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{pages} {043034} (\bibinfo {year} {2010})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Smolin}\ \emph {et~al.}(2012)\citenamefont {Smolin},
|
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\citenamefont {Gambetta},\ and\ \citenamefont
|
|
{Smith}}]{PhysRevLett.108.070502}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {John~A.}\ \bibnamefont
|
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{Smolin}}, \bibinfo {author} {\bibfnamefont {Jay~M.}\ \bibnamefont
|
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{Gambetta}}, \ and\ \bibinfo {author} {\bibfnamefont {Graeme}\ \bibnamefont
|
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{Smith}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Efficient method
|
|
for computing the maximum-likelihood quantum state from measurements with
|
|
additive gaussian noise},}\ }\href {\doibase 10.1103/PhysRevLett.108.070502}
|
|
{\bibfield {journal} {\bibinfo {journal} {Phys. Rev. Lett.}\ }\textbf
|
|
{\bibinfo {volume} {108}},\ \bibinfo {pages} {070502} (\bibinfo {year}
|
|
{2012})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Granade}\ \emph {et~al.}(2017)\citenamefont
|
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{Granade}, \citenamefont {Ferrie},\ and\ \citenamefont
|
|
{Flammia}}]{Granade_2017}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Christopher}\
|
|
\bibnamefont {Granade}}, \bibinfo {author} {\bibfnamefont {Christopher}\
|
|
\bibnamefont {Ferrie}}, \ and\ \bibinfo {author} {\bibfnamefont {Steven~T}\
|
|
\bibnamefont {Flammia}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
|
{Practical adaptive quantum tomography},}\ }\href {\doibase
|
|
10.1088/1367-2630/aa8fe6} {\bibfield {journal} {\bibinfo {journal} {New
|
|
Journal of Physics}\ }\textbf {\bibinfo {volume} {19}},\ \bibinfo {pages}
|
|
{113017} (\bibinfo {year} {2017})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Nielsen}\ and\ \citenamefont
|
|
{Chuang}(2010)}]{nielsen_chuang_2010}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Michael~A.}\
|
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\bibnamefont {Nielsen}}\ and\ \bibinfo {author} {\bibfnamefont {Isaac~L.}\
|
|
\bibnamefont {Chuang}},\ }\href {\doibase 10.1017/CBO9780511976667} {\emph
|
|
{\bibinfo {title} {Quantum Computation and Quantum Information: 10th
|
|
Anniversary Edition}}}\ (\bibinfo {publisher} {Cambridge University Press},\
|
|
\bibinfo {year} {2010})\BibitemShut {NoStop}%
|
|
\bibitem [{\citenamefont {Häffner}\ \emph {et~al.}(2005)\citenamefont
|
|
{Häffner}, \citenamefont {Hänsel}, \citenamefont {Roos}, \citenamefont
|
|
{Benhelm}, \citenamefont {Chek-al kar}, \citenamefont {Chwalla},
|
|
\citenamefont {Körber}, \citenamefont {Rapol}, \citenamefont {Riebe},
|
|
\citenamefont {Schmidt}, \citenamefont {Becher}, \citenamefont {Gühne},
|
|
\citenamefont {Dür},\ and\ \citenamefont {Blatt}}]{haffner_scalable_2005}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {H.}~\bibnamefont
|
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{Häffner}}, \bibinfo {author} {\bibfnamefont {W.}~\bibnamefont {Hänsel}},
|
|
\bibinfo {author} {\bibfnamefont {C.~F.}\ \bibnamefont {Roos}}, \bibinfo
|
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{author} {\bibfnamefont {J.}~\bibnamefont {Benhelm}}, \bibinfo {author}
|
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{\bibfnamefont {D.}~\bibnamefont {Chek-al kar}}, \bibinfo {author}
|
|
{\bibfnamefont {M.}~\bibnamefont {Chwalla}}, \bibinfo {author} {\bibfnamefont
|
|
{T.}~\bibnamefont {Körber}}, \bibinfo {author} {\bibfnamefont {U.~D.}\
|
|
\bibnamefont {Rapol}}, \bibinfo {author} {\bibfnamefont {M.}~\bibnamefont
|
|
{Riebe}}, \bibinfo {author} {\bibfnamefont {P.~O.}\ \bibnamefont {Schmidt}},
|
|
\bibinfo {author} {\bibfnamefont {C.}~\bibnamefont {Becher}}, \bibinfo
|
|
{author} {\bibfnamefont {O.}~\bibnamefont {Gühne}}, \bibinfo {author}
|
|
{\bibfnamefont {W.}~\bibnamefont {Dür}}, \ and\ \bibinfo {author}
|
|
{\bibfnamefont {R.}~\bibnamefont {Blatt}},\ }\bibfield {title} {\enquote
|
|
{\bibinfo {title} {Scalable multiparticle entanglement of trapped ions},}\
|
|
}\href {\doibase 10.1038/nature04279} {\bibfield {journal} {\bibinfo
|
|
{journal} {Nature}\ }\textbf {\bibinfo {volume} {438}},\ \bibinfo {pages}
|
|
{643--646} (\bibinfo {year} {2005})}\BibitemShut {NoStop}%
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|
\bibitem [{\citenamefont {Gross}\ \emph {et~al.}(2010)\citenamefont {Gross},
|
|
\citenamefont {Liu}, \citenamefont {Flammia}, \citenamefont {Becker},\ and\
|
|
\citenamefont {Eisert}}]{PhysRevLett.105.150401}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {David}\ \bibnamefont
|
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{Gross}}, \bibinfo {author} {\bibfnamefont {Yi-Kai}\ \bibnamefont {Liu}},
|
|
\bibinfo {author} {\bibfnamefont {Steven~T.}\ \bibnamefont {Flammia}},
|
|
\bibinfo {author} {\bibfnamefont {Stephen}\ \bibnamefont {Becker}}, \ and\
|
|
\bibinfo {author} {\bibfnamefont {Jens}\ \bibnamefont {Eisert}},\ }\bibfield
|
|
{title} {\enquote {\bibinfo {title} {Quantum state tomography via compressed
|
|
sensing},}\ }\href {\doibase 10.1103/PhysRevLett.105.150401} {\bibfield
|
|
{journal} {\bibinfo {journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo
|
|
{volume} {105}},\ \bibinfo {pages} {150401} (\bibinfo {year}
|
|
{2010})}\BibitemShut {NoStop}%
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|
\bibitem [{\citenamefont {Flammia}\ \emph {et~al.}(2012)\citenamefont
|
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{Flammia}, \citenamefont {Gross}, \citenamefont {Liu},\ and\ \citenamefont
|
|
{Eisert}}]{Flammia_2012}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Steven~T}\
|
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\bibnamefont {Flammia}}, \bibinfo {author} {\bibfnamefont {David}\
|
|
\bibnamefont {Gross}}, \bibinfo {author} {\bibfnamefont {Yi-Kai}\
|
|
\bibnamefont {Liu}}, \ and\ \bibinfo {author} {\bibfnamefont {Jens}\
|
|
\bibnamefont {Eisert}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
|
{Quantum tomography via compressed sensing: error bounds, sample complexity
|
|
and efficient estimators},}\ }\href {\doibase 10.1088/1367-2630/14/9/095022}
|
|
{\bibfield {journal} {\bibinfo {journal} {New Journal of Physics}\ }\textbf
|
|
{\bibinfo {volume} {14}},\ \bibinfo {pages} {095022} (\bibinfo {year}
|
|
{2012})}\BibitemShut {NoStop}%
|
|
\bibitem [{\citenamefont {Shabani}\ \emph {et~al.}(2011)\citenamefont
|
|
{Shabani}, \citenamefont {Kosut}, \citenamefont {Mohseni}, \citenamefont
|
|
{Rabitz}, \citenamefont {Broome}, \citenamefont {Almeida}, \citenamefont
|
|
{Fedrizzi},\ and\ \citenamefont {White}}]{PhysRevLett.106.100401}%
|
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\BibitemOpen
|
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {A.}~\bibnamefont
|
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{Shabani}}, \bibinfo {author} {\bibfnamefont {R.~L.}\ \bibnamefont {Kosut}},
|
|
\bibinfo {author} {\bibfnamefont {M.}~\bibnamefont {Mohseni}}, \bibinfo
|
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{author} {\bibfnamefont {H.}~\bibnamefont {Rabitz}}, \bibinfo {author}
|
|
{\bibfnamefont {M.~A.}\ \bibnamefont {Broome}}, \bibinfo {author}
|
|
{\bibfnamefont {M.~P.}\ \bibnamefont {Almeida}}, \bibinfo {author}
|
|
{\bibfnamefont {A.}~\bibnamefont {Fedrizzi}}, \ and\ \bibinfo {author}
|
|
{\bibfnamefont {A.~G.}\ \bibnamefont {White}},\ }\bibfield {title} {\enquote
|
|
{\bibinfo {title} {Efficient measurement of quantum dynamics via compressive
|
|
sensing},}\ }\href {\doibase 10.1103/PhysRevLett.106.100401} {\bibfield
|
|
{journal} {\bibinfo {journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo
|
|
{volume} {106}},\ \bibinfo {pages} {100401} (\bibinfo {year}
|
|
{2011})}\BibitemShut {NoStop}%
|
|
\bibitem [{\citenamefont {Riofrío}\ \emph {et~al.}(2017)\citenamefont
|
|
{Riofrío}, \citenamefont {Gross}, \citenamefont {Flammia}, \citenamefont
|
|
{Monz}, \citenamefont {Nigg}, \citenamefont {Blatt},\ and\ \citenamefont
|
|
{Eisert}}]{riofrio_experimental_2017}%
|
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\BibitemOpen
|
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {C.~A.}\ \bibnamefont
|
|
{Riofrío}}, \bibinfo {author} {\bibfnamefont {D.}~\bibnamefont {Gross}},
|
|
\bibinfo {author} {\bibfnamefont {S.~T.}\ \bibnamefont {Flammia}}, \bibinfo
|
|
{author} {\bibfnamefont {T.}~\bibnamefont {Monz}}, \bibinfo {author}
|
|
{\bibfnamefont {D.}~\bibnamefont {Nigg}}, \bibinfo {author} {\bibfnamefont
|
|
{R.}~\bibnamefont {Blatt}}, \ and\ \bibinfo {author} {\bibfnamefont
|
|
{J.}~\bibnamefont {Eisert}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
|
{Experimental quantum compressed sensing for a seven-qubit system},}\ }\href
|
|
{\doibase 10.1038/ncomms15305} {\bibfield {journal} {\bibinfo {journal}
|
|
{Nature Communications}\ }\textbf {\bibinfo {volume} {8}},\ \bibinfo {pages}
|
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{15305} (\bibinfo {year} {2017})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {T\'oth}\ \emph {et~al.}(2010)\citenamefont {T\'oth},
|
|
\citenamefont {Wieczorek}, \citenamefont {Gross}, \citenamefont {Krischek},
|
|
\citenamefont {Schwemmer},\ and\ \citenamefont
|
|
{Weinfurter}}]{PhysRevLett.105.250403}%
|
|
\BibitemOpen
|
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {G.}~\bibnamefont
|
|
{T\'oth}}, \bibinfo {author} {\bibfnamefont {W.}~\bibnamefont {Wieczorek}},
|
|
\bibinfo {author} {\bibfnamefont {D.}~\bibnamefont {Gross}}, \bibinfo
|
|
{author} {\bibfnamefont {R.}~\bibnamefont {Krischek}}, \bibinfo {author}
|
|
{\bibfnamefont {C.}~\bibnamefont {Schwemmer}}, \ and\ \bibinfo {author}
|
|
{\bibfnamefont {H.}~\bibnamefont {Weinfurter}},\ }\bibfield {title}
|
|
{\enquote {\bibinfo {title} {Permutationally invariant quantum tomography},}\
|
|
}\href {\doibase 10.1103/PhysRevLett.105.250403} {\bibfield {journal}
|
|
{\bibinfo {journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {105}},\
|
|
\bibinfo {pages} {250403} (\bibinfo {year} {2010})}\BibitemShut {NoStop}%
|
|
\bibitem [{\citenamefont {Moroder}\ \emph {et~al.}(2012)\citenamefont
|
|
{Moroder}, \citenamefont {Hyllus}, \citenamefont {T{\'{o}}th}, \citenamefont
|
|
{Schwemmer}, \citenamefont {Niggebaum}, \citenamefont {Gaile}, \citenamefont
|
|
{Gühne},\ and\ \citenamefont {Weinfurter}}]{Moroder_2012}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Tobias}\ \bibnamefont
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{Moroder}}, \bibinfo {author} {\bibfnamefont {Philipp}\ \bibnamefont
|
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{Hyllus}}, \bibinfo {author} {\bibfnamefont {G{\'{e}}za}\ \bibnamefont
|
|
{T{\'{o}}th}}, \bibinfo {author} {\bibfnamefont {Christian}\ \bibnamefont
|
|
{Schwemmer}}, \bibinfo {author} {\bibfnamefont {Alexander}\ \bibnamefont
|
|
{Niggebaum}}, \bibinfo {author} {\bibfnamefont {Stefanie}\ \bibnamefont
|
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{Gaile}}, \bibinfo {author} {\bibfnamefont {Otfried}\ \bibnamefont {Gühne}},
|
|
\ and\ \bibinfo {author} {\bibfnamefont {Harald}\ \bibnamefont
|
|
{Weinfurter}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
|
{Permutationally invariant state reconstruction},}\ }\href {\doibase
|
|
10.1088/1367-2630/14/10/105001} {\bibfield {journal} {\bibinfo {journal}
|
|
{New Journal of Physics}\ }\textbf {\bibinfo {volume} {14}},\ \bibinfo
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{pages} {105001} (\bibinfo {year} {2012})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Cramer}\ \emph {et~al.}(2009)\citenamefont {Cramer},
|
|
\citenamefont {Plenio}, \citenamefont {Flammia}, \citenamefont {Somma},
|
|
\citenamefont {Gross}, \citenamefont {Bartlett}, \citenamefont
|
|
{Landon-Cardinal}, \citenamefont {Poulin},\ and\ \citenamefont
|
|
{Liu}}]{cramer2009efficient}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {M}~\bibnamefont
|
|
{Cramer}}, \bibinfo {author} {\bibfnamefont {MB}~\bibnamefont {Plenio}},
|
|
\bibinfo {author} {\bibfnamefont {ST}~\bibnamefont {Flammia}}, \bibinfo
|
|
{author} {\bibfnamefont {R}~\bibnamefont {Somma}}, \bibinfo {author}
|
|
{\bibfnamefont {D}~\bibnamefont {Gross}}, \bibinfo {author} {\bibfnamefont
|
|
{SD}~\bibnamefont {Bartlett}}, \bibinfo {author} {\bibfnamefont
|
|
{O}~\bibnamefont {Landon-Cardinal}}, \bibinfo {author} {\bibfnamefont
|
|
{D}~\bibnamefont {Poulin}}, \ and\ \bibinfo {author} {\bibfnamefont
|
|
{YK}~\bibnamefont {Liu}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
|
{Efficient quantum state tomography.}}\ }\href
|
|
{http://www.nature.com/articles/ncomms1147} {\bibfield {journal} {\bibinfo
|
|
{journal} {Nature communications}\ }\textbf {\bibinfo {volume} {1}},\
|
|
\bibinfo {pages} {149} (\bibinfo {year} {2009})}\BibitemShut {NoStop}%
|
|
\bibitem [{\citenamefont {Baumgratz}\ \emph {et~al.}(2013)\citenamefont
|
|
{Baumgratz}, \citenamefont {Gross}, \citenamefont {Cramer},\ and\
|
|
\citenamefont {Plenio}}]{MPOtomo}%
|
|
\BibitemOpen
|
|
\bibfield {author} {\bibinfo {author} {\bibfnamefont {T.}~\bibnamefont
|
|
{Baumgratz}}, \bibinfo {author} {\bibfnamefont {D.}~\bibnamefont {Gross}},
|
|
\bibinfo {author} {\bibfnamefont {M.}~\bibnamefont {Cramer}}, \ and\ \bibinfo
|
|
{author} {\bibfnamefont {M.~B.}\ \bibnamefont {Plenio}},\ }\bibfield {title}
|
|
{\enquote {\bibinfo {title} {Scalable reconstruction of density matrices},}\
|
|
}\href {\doibase 10.1103/PhysRevLett.111.020401} {\bibfield {journal}
|
|
{\bibinfo {journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {111}},\
|
|
\bibinfo {pages} {020401} (\bibinfo {year} {2013})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Lanyon}\ \emph {et~al.}(2017)\citenamefont {Lanyon},
|
|
\citenamefont {Maier}, \citenamefont {Holz{\"{a}}pfel}, \citenamefont
|
|
{Baumgratz}, \citenamefont {Hempel}, \citenamefont {Jurcevic}, \citenamefont
|
|
{Dhand}, \citenamefont {Buyskikh}, \citenamefont {Daley}, \citenamefont
|
|
{Cramer}, \citenamefont {Plenio}, \citenamefont {Blatt},\ and\ \citenamefont
|
|
{Roos}}]{Lanyon2017}%
|
|
\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {B.~P.}\ \bibnamefont
|
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{Lanyon}}, \bibinfo {author} {\bibfnamefont {C.}~\bibnamefont {Maier}},
|
|
\bibinfo {author} {\bibfnamefont {M.}~\bibnamefont {Holz{\"{a}}pfel}},
|
|
\bibinfo {author} {\bibfnamefont {T.}~\bibnamefont {Baumgratz}}, \bibinfo
|
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{author} {\bibfnamefont {C.}~\bibnamefont {Hempel}}, \bibinfo {author}
|
|
{\bibfnamefont {P.}~\bibnamefont {Jurcevic}}, \bibinfo {author}
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{\bibfnamefont {I.}~\bibnamefont {Dhand}}, \bibinfo {author} {\bibfnamefont
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{A.~S.}\ \bibnamefont {Buyskikh}}, \bibinfo {author} {\bibfnamefont {A.~J.}\
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\bibnamefont {Daley}}, \bibinfo {author} {\bibfnamefont {M.}~\bibnamefont
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{Cramer}}, \bibinfo {author} {\bibfnamefont {M.~B.}\ \bibnamefont {Plenio}},
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\bibinfo {author} {\bibfnamefont {R.}~\bibnamefont {Blatt}}, \ and\ \bibinfo
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{author} {\bibfnamefont {C.~F.}\ \bibnamefont {Roos}},\ }\bibfield {title}
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{\enquote {\bibinfo {title} {{Efficient tomography of a quantum many-body
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system}},}\ }\href {\doibase 10.1038/nphys4244} {\bibfield {journal}
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{\bibinfo {journal} {Nature Physics}\ }\textbf {\bibinfo {volume} {13}},\
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\bibinfo {pages} {1158--1162} (\bibinfo {year} {2017})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Wang}\ \emph {et~al.}(2020)\citenamefont {Wang},
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\citenamefont {Han}, \citenamefont {Wang}, \citenamefont {Li}, \citenamefont
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{Mu}, \citenamefont {Fan},\ and\ \citenamefont {Wang}}]{LeiWang2020}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Jun}\ \bibnamefont
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{Wang}}, \bibinfo {author} {\bibfnamefont {Zhao-Yu}\ \bibnamefont {Han}},
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\bibinfo {author} {\bibfnamefont {Song-Bo}\ \bibnamefont {Wang}}, \bibinfo
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{author} {\bibfnamefont {Zeyang}\ \bibnamefont {Li}}, \bibinfo {author}
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{\bibfnamefont {Liang-Zhu}\ \bibnamefont {Mu}}, \bibinfo {author}
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{\bibfnamefont {Heng}\ \bibnamefont {Fan}}, \ and\ \bibinfo {author}
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{\bibfnamefont {Lei}\ \bibnamefont {Wang}},\ }\bibfield {title} {\enquote
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{\bibinfo {title} {Scalable quantum tomography with fidelity estimation},}\
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}\href {\doibase 10.1103/PhysRevA.101.032321} {\bibfield {journal} {\bibinfo
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{journal} {Phys. Rev. A}\ }\textbf {\bibinfo {volume} {101}},\ \bibinfo
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{pages} {032321} (\bibinfo {year} {2020})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Ackley}\ \emph {et~al.}(1985)\citenamefont {Ackley},
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\citenamefont {Hinton},\ and\ \citenamefont {Sejnowski}}]{Ackley85}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {David~H.}\
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\bibnamefont {Ackley}}, \bibinfo {author} {\bibfnamefont {Geoffrey~E.}\
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\bibnamefont {Hinton}}, \ and\ \bibinfo {author} {\bibfnamefont
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{Terrence~J.}\ \bibnamefont {Sejnowski}},\ }\bibfield {title} {\enquote
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{\bibinfo {title} {A learning algorithm for boltzmann machines},}\ }\href
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{\doibase https://doi.org/10.1016/S0364-0213(85)80012-4} {\bibfield
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{journal} {\bibinfo {journal} {Cognitive Science}\ }\textbf {\bibinfo
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{volume} {9}},\ \bibinfo {pages} {147 -- 169} (\bibinfo {year}
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{1985})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Smolensky}(1986)}]{Smolensky1986}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {P.}~\bibnamefont
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{Smolensky}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Parallel
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distributed processing: Explorations in the microstructure of cognition, vol.
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1},}\ }in\ \href {http://dl.acm.org/citation.cfm?id=104279.104290} {\emph
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{\bibinfo {booktitle} {Parallel Distributed Processing}}},\ \bibinfo {editor}
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{edited by\ \bibinfo {editor} {\bibfnamefont {David~E.}\ \bibnamefont
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{Rumelhart}}, \bibinfo {editor} {\bibfnamefont {James~L.}\ \bibnamefont
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{McClelland}}, \ and\ \bibinfo {editor} {\bibfnamefont {CORPORATE}\
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\bibnamefont {PDP Research~Group}}}\ (\bibinfo {publisher} {MIT Press},\
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\bibinfo {address} {Cambridge, MA, USA},\ \bibinfo {year} {1986})\ Chap.\
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\bibinfo {chapter} {Information Processing in Dynamical Systems: Foundations
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of Harmony Theory}, pp.\ \bibinfo {pages} {194--281}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Little}(1974)}]{Little74}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {W.A.}\ \bibnamefont
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{Little}},\ }\bibfield {title} {\enquote {\bibinfo {title} {The existence of
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persistent states in the brain},}\ }\href {\doibase
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https://doi.org/10.1016/0025-5564(74)90031-5} {\bibfield {journal} {\bibinfo
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{journal} {Mathematical Biosciences}\ }\textbf {\bibinfo {volume} {19}},\
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\bibinfo {pages} {101 -- 120} (\bibinfo {year} {1974})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Little}\ and\ \citenamefont {Shaw}(1978)}]{Little78}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {W.A.}\ \bibnamefont
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{Little}}\ and\ \bibinfo {author} {\bibfnamefont {Gordon~L.}\ \bibnamefont
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{Shaw}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Analytic study of
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the memory storage capacity of a neural network},}\ }\href {\doibase
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https://doi.org/10.1016/0025-5564(78)90058-5} {\bibfield {journal} {\bibinfo
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{journal} {Mathematical Biosciences}\ }\textbf {\bibinfo {volume} {39}},\
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\bibinfo {pages} {281 -- 290} (\bibinfo {year} {1978})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Hopfield}(1982)}]{Hopfield82}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {J~J}\ \bibnamefont
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{Hopfield}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Neural
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networks and physical systems with emergent collective computational
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abilities},}\ }\href {\doibase 10.1073/pnas.79.8.2554} {\bibfield {journal}
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{\bibinfo {journal} {Proceedings of the National Academy of Sciences}\
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}\textbf {\bibinfo {volume} {79}},\ \bibinfo {pages} {2554--2558} (\bibinfo
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{year} {1982})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Le~Roux}\ and\ \citenamefont
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{Bengio}(2008)}]{LeRoux2008}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Nicolas}\ \bibnamefont
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{Le~Roux}}\ and\ \bibinfo {author} {\bibfnamefont {Yoshua}\ \bibnamefont
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{Bengio}},\ }\bibfield {title} {\enquote {\bibinfo {title} {Representational
|
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power of restricted boltzmann machines and deep belief networks},}\ }\href
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{\doibase 10.1162/neco.2008.04-07-510} {\bibfield {journal} {\bibinfo
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{journal} {Neural Computation}\ }\textbf {\bibinfo {volume} {20}},\ \bibinfo
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{pages} {1631--1649} (\bibinfo {year} {2008})},\ \Eprint
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{http://arxiv.org/abs/https://doi.org/10.1162/neco.2008.04-07-510}
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{https://doi.org/10.1162/neco.2008.04-07-510} \BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Kullback}\ and\ \citenamefont
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{Leibler}(1951)}]{Kullback:1951aa}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {S.}~\bibnamefont
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{Kullback}}\ and\ \bibinfo {author} {\bibfnamefont {R.~A.}\ \bibnamefont
|
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{Leibler}},\ }\bibfield {title} {\enquote {\bibinfo {title} {On information
|
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and sufficiency},}\ }\href {\doibase 10.1214/aoms/1177729694} {\bibfield
|
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{journal} {\bibinfo {journal} {Ann. Math. Statist.}\ }\textbf {\bibinfo
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{volume} {22}},\ \bibinfo {pages} {79--86} (\bibinfo {year}
|
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{1951})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {{Bravyi}}\ \emph {et~al.}(2006)\citenamefont
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{{Bravyi}}, \citenamefont {{DiVincenzo}}, \citenamefont {{Oliveira}},\ and\
|
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\citenamefont {{Terhal}}}]{Bravyi2006}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Sergey}\ \bibnamefont
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{{Bravyi}}}, \bibinfo {author} {\bibfnamefont {David~P.}\ \bibnamefont
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{{DiVincenzo}}}, \bibinfo {author} {\bibfnamefont {Roberto~I.}\ \bibnamefont
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{{Oliveira}}}, \ and\ \bibinfo {author} {\bibfnamefont {Barbara~M.}\
|
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\bibnamefont {{Terhal}}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
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{{The Complexity of Stoquastic Local Hamiltonian Problems}},}\ }\href@noop {}
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{\bibfield {journal} {\bibinfo {journal} {arXiv e-prints}\ ,\ \bibinfo
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{eid} {quant-ph/0606140}} (\bibinfo {year} {2006})},\ \Eprint
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{http://arxiv.org/abs/quant-ph/0606140} {arXiv:quant-ph/0606140 [quant-ph]}
|
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\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {{Carleo}}\ \emph {et~al.}(2019)\citenamefont
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{{Carleo}}, \citenamefont {{Choo}}, \citenamefont {{Hofmann}}, \citenamefont
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{{Smith}}, \citenamefont {{Westerhout}}, \citenamefont {{Alet}},
|
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\citenamefont {{Davis}}, \citenamefont {{Efthymiou}}, \citenamefont
|
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{{Glasser}}, \citenamefont {{Lin}}, \citenamefont {{Mauri}}, \citenamefont
|
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{{Mazzola}}, \citenamefont {{Mendl}}, \citenamefont {{van Nieuwenburg}},
|
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\citenamefont {{O'Reilly}}, \citenamefont {{Th{\'e}veniaut}}, \citenamefont
|
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{{Torlai}},\ and\ \citenamefont {{Wietek}}}]{netket}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Giuseppe}\
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\bibnamefont {{Carleo}}}, \bibinfo {author} {\bibfnamefont {Kenny}\
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\bibnamefont {{Choo}}}, \bibinfo {author} {\bibfnamefont {Damian}\
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\bibnamefont {{Hofmann}}}, \bibinfo {author} {\bibfnamefont {James E.~T.}\
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\bibnamefont {{Smith}}}, \bibinfo {author} {\bibfnamefont {Tom}\ \bibnamefont
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{{Westerhout}}}, \bibinfo {author} {\bibfnamefont {Fabien}\ \bibnamefont
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{{Alet}}}, \bibinfo {author} {\bibfnamefont {Emily~J.}\ \bibnamefont
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{{Davis}}}, \bibinfo {author} {\bibfnamefont {Stavros}\ \bibnamefont
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{{Efthymiou}}}, \bibinfo {author} {\bibfnamefont {Ivan}\ \bibnamefont
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{{Glasser}}}, \bibinfo {author} {\bibfnamefont {Sheng-Hsuan}\ \bibnamefont
|
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{{Lin}}}, \bibinfo {author} {\bibfnamefont {Marta}\ \bibnamefont {{Mauri}}},
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\bibinfo {author} {\bibfnamefont {Guglielmo}\ \bibnamefont {{Mazzola}}},
|
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\bibinfo {author} {\bibfnamefont {Christian~B.}\ \bibnamefont {{Mendl}}},
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\bibinfo {author} {\bibfnamefont {Evert}\ \bibnamefont {{van Nieuwenburg}}},
|
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\bibinfo {author} {\bibfnamefont {Ossian}\ \bibnamefont {{O'Reilly}}},
|
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\bibinfo {author} {\bibfnamefont {Hugo}\ \bibnamefont {{Th{\'e}veniaut}}},
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\bibinfo {author} {\bibfnamefont {Giacomo}\ \bibnamefont {{Torlai}}}, \ and\
|
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\bibinfo {author} {\bibfnamefont {Alexander}\ \bibnamefont {{Wietek}}},\
|
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}\bibfield {title} {\enquote {\bibinfo {title} {{NetKet: A Machine Learning
|
|
Toolkit for Many-Body Quantum Systems}},}\ }\href@noop {} {\bibfield
|
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{journal} {\bibinfo {journal} {arXiv e-prints}\ ,\ \bibinfo {eid}
|
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{arXiv:1904.00031}} (\bibinfo {year} {2019})},\ \Eprint
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{http://arxiv.org/abs/1904.00031} {arXiv:1904.00031 [quant-ph]} \BibitemShut
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{NoStop}%
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\bibitem [{\citenamefont {{Zeiler}}(2012)}]{2012arXiv1212.5701Z}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Matthew~D.}\
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\bibnamefont {{Zeiler}}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
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{{ADADELTA: An Adaptive Learning Rate Method}},}\ }\href@noop {} {\bibfield
|
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{journal} {\bibinfo {journal} {arXiv e-prints}\ ,\ \bibinfo {eid}
|
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{arXiv:1212.5701}} (\bibinfo {year} {2012})},\ \Eprint
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{http://arxiv.org/abs/1212.5701} {arXiv:1212.5701 [cs.LG]} \BibitemShut
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{NoStop}%
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\bibitem [{\citenamefont {Kandala}\ \emph {et~al.}(2017)\citenamefont
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{Kandala}, \citenamefont {Mezzacapo}, \citenamefont {Temme}, \citenamefont
|
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{Takita}, \citenamefont {Brink}, \citenamefont {Chow},\ and\ \citenamefont
|
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{Gambetta}}]{kandala_hardware-efficient_2017}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Abhinav}\ \bibnamefont
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{Kandala}}, \bibinfo {author} {\bibfnamefont {Antonio}\ \bibnamefont
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{Mezzacapo}}, \bibinfo {author} {\bibfnamefont {Kristan}\ \bibnamefont
|
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{Temme}}, \bibinfo {author} {\bibfnamefont {Maika}\ \bibnamefont {Takita}},
|
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\bibinfo {author} {\bibfnamefont {Markus}\ \bibnamefont {Brink}}, \bibinfo
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{author} {\bibfnamefont {Jerry~M.}\ \bibnamefont {Chow}}, \ and\ \bibinfo
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{author} {\bibfnamefont {Jay~M.}\ \bibnamefont {Gambetta}},\ }\bibfield
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{title} {\enquote {\bibinfo {title} {Hardware-efficient variational quantum
|
|
eigensolver for small molecules and quantum magnets},}\ }\href {\doibase
|
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10.1038/nature23879} {\bibfield {journal} {\bibinfo {journal} {Nature}\
|
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}\textbf {\bibinfo {volume} {549}},\ \bibinfo {pages} {242--246} (\bibinfo
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{year} {2017})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Becca}\ and\ \citenamefont
|
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{Sorella}(2017)}]{becca_sorella_2017}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Federico}\
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\bibnamefont {Becca}}\ and\ \bibinfo {author} {\bibfnamefont {Sandro}\
|
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\bibnamefont {Sorella}},\ }\href {\doibase 10.1017/9781316417041} {\emph
|
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{\bibinfo {title} {Quantum Monte Carlo Approaches for Correlated Systems}}}\
|
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(\bibinfo {publisher} {Cambridge University Press},\ \bibinfo {year}
|
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{2017})\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Cho}\ \emph {et~al.}(2014)\citenamefont {Cho},
|
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\citenamefont {van Merri{\"e}nboer}, \citenamefont {Gulcehre}, \citenamefont
|
|
{Bahdanau}, \citenamefont {Bougares}, \citenamefont {Schwenk},\ and\
|
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\citenamefont {Bengio}}]{cho-etal-2014-learning}%
|
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {Kyunghyun}\
|
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\bibnamefont {Cho}}, \bibinfo {author} {\bibfnamefont {Bart}\ \bibnamefont
|
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{van Merri{\"e}nboer}}, \bibinfo {author} {\bibfnamefont {Caglar}\
|
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\bibnamefont {Gulcehre}}, \bibinfo {author} {\bibfnamefont {Dzmitry}\
|
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\bibnamefont {Bahdanau}}, \bibinfo {author} {\bibfnamefont {Fethi}\
|
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\bibnamefont {Bougares}}, \bibinfo {author} {\bibfnamefont {Holger}\
|
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\bibnamefont {Schwenk}}, \ and\ \bibinfo {author} {\bibfnamefont {Yoshua}\
|
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\bibnamefont {Bengio}},\ }\bibfield {title} {\enquote {\bibinfo {title}
|
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{Learning phrase representations using {RNN} encoder{--}decoder for
|
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statistical machine translation},}\ }in\ \href {\doibase 10.3115/v1/D14-1179}
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{\emph {\bibinfo {booktitle} {Proceedings of the 2014 Conference on Empirical
|
|
Methods in Natural Language Processing ({EMNLP})}}}\ (\bibinfo {publisher}
|
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{Association for Computational Linguistics},\ \bibinfo {address} {Doha,
|
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Qatar},\ \bibinfo {year} {2014})\ pp.\ \bibinfo {pages}
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{1724--1734}\BibitemShut {NoStop}%
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\end{thebibliography}%
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