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Machine learning, one of today's most rapidly growing interdisciplinary fields, promises an unprecedented perspective for solving intricate quantum many-body problems.
A. N. Kolmogorov, “On the representation of continuous functions of many variables by superposition of continuous functions of one variable and addition,” Amer. Math. Soc. Transl 28
1963
Earlier work this paper cites.
V. A. Marčenko and L. A. Pastur, “Distribution of eigenvalues for some sets of random matrices,” Mathematics of the USSR-Sbornik 1
1967
Earlier work this paper cites.
E. H. Lieb and D. W. Robinson, “The finite group velocity of quantum spin systems,” Comm. Math. Phys. 28
1972
Earlier work this paper cites.
J. D. Bekenstein, “Black holes and entropy,” Phys. Rev. D 7
1973
Earlier work this paper cites.
M. V. Berry and M. Tabor, “Level clustering in the regular spectrum,” in Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences , Vol. 356 (The Royal Society, 1977) pp. 375–394
1977
Earlier work this paper cites.
T. A. Brody, J. Flores, J. B. French, P. A. Mello, A. Pandey, and S. S. M. Wong, “Random-matrix physics: spectrum and strength fluctuations,” Rev. Mod. Phys. 53
1981
Earlier work this paper cites.
O. Bohigas, M. J. Giannoni, and C. Schmit, “Characterization of chaotic quantum spectra and universality of level fluctuation laws,” Phys. Rev. Lett. 52
1984
Earlier work this paper cites.
L. Bombelli, R. K. Koul, J. Lee, and R. D. Sorkin, “Quantum source of entropy for black holes,” Phys. Rev. D 34
1986
Earlier work this paper cites.
F. D. M. Haldane, “Exact jastrow-gutzwiller resonating-valence-bond ground state of the spin-(1/2 antiferromagnetic heisenberg chain with 1/ r 2 {\mathrm{r}}^{2} exchange,” Phys. Rev. Lett. 60
1988
Earlier work this paper cites.
B. S. Shastry, “Exact solution of an S
1988
Earlier work this paper cites.
K. Hornik, “Approximation capabilities of multilayer feedforward networks,” Neural networks 4
1991
Earlier work this paper cites.
M. Fannes, B. Nachtergaele, and R. F. Werner, “Finitely correlated states on quantum spin chains,” Comm. Math. Phys. 144
1992
Earlier work this paper cites.
S. R. White, “Density matrix formulation for quantum renormalization groups,” Phys. Rev. Lett. 69
1992
Earlier work this paper cites.
M. Srednicki, “Entropy and area,” Phys. Rev. Lett. 71
1993
Earlier work this paper cites.
C. Holzhey, F. Larsen, and F. Wilczek, “Geometric and renormalized entropy in conformal field theory,” Nucl. Phys. B 424
1994
Earlier work this paper cites.
C. Callan and F. Wilczek, “On geometric entropy,” Phys. Lett. B 333
1994
Earlier work this paper cites.
S. Hawking, J. Maldacena, and A. Strominger, “Desitter entropy, quantum entanglement and ads/cft,” J. High Energy Phys. 2001
2001
Earlier work this paper cites.
A. Osterloh, L. Amico, G. Falci, and R. Fazio, “Scaling of entanglement close to a quantum phase transition,” Nature 416
2002
Earlier work this paper cites.
T. J. Osborne and M. A. Nielsen, “Entanglement in a simple quantum phase transition,” Phys. Rev. A 66
2002
Earlier work this paper cites.
G. Vidal, “Efficient classical simulation of slightly entangled quantum computations,” Phys. Rev. Lett. 91
2003
Earlier work this paper cites.
R. Raussendorf, D. E. Browne, and H. J. Briegel, “Measurement-based quantum computation on cluster states,” Phys. Rev. A 68
2003
Earlier work this paper cites.
S.-J. Gu, S.-S. Deng, Y.-Q. Li, and H.-Q. Lin, “Entanglement and quantum phase transition in the extended hubbard model,” Phys. Rev. Lett. 93
2004
Earlier work this paper cites.
C. M. Alves and D. Jaksch, “Multipartite entanglement detection in bosons,” Phys. Rev. Lett. 93
2004
Earlier work this paper cites.
B.-Q. Jin and V. E. Korepin, “Quantum spin chain, toeplitz determinants and the fisher hartwig conjecture,” Journal of statistical physics 116
2004
Earlier work this paper cites.
P. Calabrese and J. Cardy, “Entanglement entropy and quantum field theory,” J. Stat. Mech.: Theory and Exp. 2004
2004
Earlier work this paper cites.
M. Hein, J. Eisert, and H. J. Briegel, “Multiparty entanglement in graph states,” Phys. Rev. A 69
2004
Earlier work this paper cites.
U. Schollwöck, “The density-matrix renormalization group,” Rev. Mod. Phys. 77
2005
Earlier work this paper cites.
C. Mejía-Monasterio, G. Benenti, G. G. Carlo, and G. Casati, “Entanglement across a transition to quantum chaos,” Phys. Rev. A 71
2005
Earlier work this paper cites.
A. R. Its, B.-Q. Jin, and V. E. Korepin, “Entanglement in the xy spin chain,” Journal of Physics A: Mathematical and General 38
2005
Earlier work this paper cites.
J. Eisert and M. Cramer, “Single-copy entanglement in critical quantum spin chains,” Phys. Rev. A 72
2005
Earlier work this paper cites.
J. P. Keating and F. Mezzadri, “Entanglement in quantum spin chains, symmetry classes of random matrices, and conformal field theory,” Phys. Rev. Lett. 94
2005
Earlier work this paper cites.
G. E. Hinton and R. R. Salakhutdinov, “Reducing the dimensionality of data with neural networks,” Science 313
2006
Earlier work this paper cites.
M. Levin and X.-G. Wen, “Detecting topological order in a ground state wave function,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
A. Kitaev and J. Preskill, “Topological entanglement entropy,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
F. Verstraete and J. I. Cirac, “Matrix product states represent ground states faithfully,” Phys. Rev. B 73
2006
Earlier work this paper cites.
M. A. Nielsen, “Cluster-state quantum computation,” Rep. Math. Phys. 57
2006
Earlier work this paper cites.
M. B. Hastings, “An area law for one-dimensional quantum systems,” J. Stat. Mech. , P08024 (2007)
2007
Earlier work this paper cites.
D. Perez-Garcia, F. Verstraete, M. Wolf, and J. Cirac, “Matrix product state representations,” Quantum Inf. Comput. 7
2007
Earlier work this paper cites.
G. Vidal, “Classical simulation of infinite-size quantum lattice systems in one spatial dimension,” Phys. Rev. Lett. 98
2007
Earlier work this paper cites.
R. Salakhutdinov, A. Mnih, and G. Hinton, “Restricted boltzmann machines for collaborative filtering,” in Proceedings of the 24th international conference on Machine learning (ACM, 2007) pp. 791–798
2007
Earlier work this paper cites.
S. Sorella, M. Casula, and D. Rocca, “Weak binding between two aromatic rings: Feeling the van der waals attraction by quantum monte carlo methods,” J. Chem. Phys. 127
2007
Cited alongside, same era.
F. Verstraete, V. Murg, and J. I. Cirac, “Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems,” Advances in Physics 57
2008
Cited alongside, same era.
G. Vidal, “Class of quantum many-body states that can be efficiently simulated,” Phys. Rev. Lett. 101
2008
Cited alongside, same era.
H. Larochelle and Y. Bengio, “Classification using discriminative restricted boltzmann machines,” in Proceedings of the 25th international conference on Machine learning (ACM, 2008) pp. 536–543
2008
Cited alongside, same era.
N. Le Roux and Y. Bengio, “Representational power of restricted boltzmann machines and deep belief networks,” Neural Comput. 20
T. Graß and M. Lewenstein, “Trapped-ion quantum simulation of tunable-range heisenberg chains,” EPJ Quantum Technology 1
2014
Later among the works it cites.
F. Verstraete, “Quantum hamiltonian complexity: Worth the wait,” Nat. Phys. 11
2015
Later among the works it cites.
S. Gharibian, Y. Huang, Z. Landau, and S. W. Shin, “Quantum hamiltonian complexity,” Found. Trends Theor. Comput. Sci. 10
2015
Later among the works it cites.
M. Friesdorf, A. H. Werner, W. Brown, V. B. Scholz, and J. Eisert, “Many-body localization implies that eigenvectors are matrix-product states,” Phys. Rev. Lett. 114
2015
Later among the works it cites.
M. Jordan and T. Mitchell, “Machine learning: Trends, perspectives, and prospects,” Science 349
2015
Later among the works it cites.
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2008
Cited alongside, same era.
L. Amico, R. Fazio, A. Osterloh, and V. Vedral, “Entanglement in many-body systems,” Rev. Mod. Phys. 80
2008
Cited alongside, same era.
H. Li and F. D. M. Haldane, “Entanglement spectrum as a generalization of entanglement entropy: Identification of topological order in non-abelian fractional quantum hall effect states,” Phys. Rev. Lett. 101
2008
Cited alongside, same era.
N. Schuch, M. M. Wolf, F. Verstraete, and J. I. Cirac, “Entropy scaling and simulability by matrix product states,” Phys. Rev. Lett. 100
2008
Cited alongside, same era.
P. Calabrese and A. Lefevre, “Entanglement spectrum in one-dimensional systems,” Phys. Rev. A 78
2008
Cited alongside, same era.
Z.-C. Gu and X.-G. Wen, “Tensor-entanglement-filtering renormalization approach and symmetry-protected topological order,” Phys. Rev. B 80
2009
Cited alongside, same era.
J. Eisert, M. Cramer, and M. B. Plenio, “ Colloquium
2010
Cited alongside, same era.
A. Pal and D. A. Huse, “Many-body localization phase transition,” Phys. Rev. B 82
2010
Cited alongside, same era.
Y. LeCun, Y. Bengio, and G. Hinton, “Deep learning,” Nature 521
2015
Later among the works it cites.
S. V. Kalinin, B. G. Sumpter, and R. K. Archibald, “Big-deep-smart data in imaging for guiding materials design,” Nat. Mater. 14
2015
Later among the works it cites.
2015
Later among the works it cites.
R. Nandkishore and D. A. Huse, “Many-body localization and thermalization in quantum statistical mechanics,” Annu. Rev. Condens. Matter Phys. 6
2015
Later among the works it cites.
R. Islam, R. Ma, P. M. Preiss, M. E. Tai, A. Lukin, M. Rispoli, and M. Greiner, “Measuring entanglement entropy in a quantum many-body system,” Nature 528
2015
Later among the works it cites.
Z.-C. Yang, C. Chamon, A. Hamma, and E. R. Mucciolo, “Two-component structure in the entanglement spectrum of highly excited states,” Phys. Rev. Lett. 115
2015
Later among the works it cites.
2015
Later among the works it cites.
B. P. Abbott et al
2016
Later among the works it cites.
2016
Later among the works it cites.
S. S. Schoenholz, E. D. Cubuk, D. M. Sussman, E. Kaxiras, and A. J. Liu, “A structural approach to relaxation in glassy liquids,” Nat. Phys. 12
2016
Later among the works it cites.
2016
Later among the works it cites.
L. Wang, “Discovering phase transitions with unsupervised learning,” Phys. Rev. B 94
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
J. Liu, Y. Qi, Z. Y. Meng, and L. Fu, “Self-learning monte carlo method,” arXiv:1610.03137 (2016)
2016
Later among the works it cites.
2016
Later among the works it cites.
K.-I. Aoki and T. Kobayashi, “Restricted boltzmann machines for the long range ising models,” Mod. Phys. Lett. B , 1650401 (2016)
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
P. Hauke, M. Heyl, L. Tagliacozzo, and P. Zoller, “Measuring multipartite entanglement through dynamic susceptibilities,” Nat. Phys. (2016), 10.1038/nphys3700
2016
Later among the works it cites.
H. Pichler, G. Zhu, A. Seif, P. Zoller, and M. Hafezi, “Measurement protocol for the entanglement spectrum of cold atoms,” Phys. Rev. X 6
2016
Later among the works it cites.
A. M. Kaufman, M. E. Tai, A. Lukin, M. Rispoli, R. Schittko, P. M. Preiss, and M. Greiner, “Quantum thermalization through entanglement in an isolated many-body system,” Science 353
2016
Later among the works it cites.
D. Harlow, “Jerusalem lectures on black holes and quantum information,” Rev. Mod. Phys. 88
2016
Later among the works it cites.
2016
Later among the works it cites.
L. Susskind, “Entanglement is not enough,” Fortschritte der Physik 64
2016
Later among the works it cites.
S. D. Geraedts, R. Nandkishore, and N. Regnault, “Many-body localization and thermalization: Insights from the entanglement spectrum,” Phys. Rev. B 93
2016
Later among the works it cites.
J. Haegeman, C. Lubich, I. Oseledets, B. Vandereycken, and F. Verstraete, “Unifying time evolution and optimization with matrix product states,” Phys. Rev. B 94
2016
Later among the works it cites.
H. W. Lin and M. Tegmark, “Why does deep and cheap learning work so well?” arXiv:1608.08225 (2016)
2016
Later among the works it cites.
2016
Later among the works it cites.
G. Carleo and M. Troyer, “Solving the quantum many-body problem with artificial neural networks,” Science 355
2017
Closest in time.
J. Carrasquilla and R. G. Melko, “Machine learning phases of matter,” Nat. Phys. advance online publication
2017
Closest in time.
E. P. van Nieuwenburg, Y.-H. Liu, and S. D. Huber, “Learning phase transitions by confusion,” Nat. Phys. advance online publication
2017
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