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It was recently proposed to leverage the representational power of artificial neural networks, in particular Restricted Boltzmann Machines, in order to model complex quantum states of many-body systems [Science, 355(6325), 2017].
On the computational complexity of ising spin glass models
Francisco Barahona · 1982
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Quantum monte carlo
David Ceperley and Berni Alder · 1986
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Sign problem in the numerical simulation of many-electron systems
EY Loh Jr, JE Gubernatis, RT Scalettar, SR White, DJ Scalapino, and RL Sugar · 1990
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Entropy and area
Mark Srednicki · 1993
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Two-dimensional algorithm of the density-matrix renormalization group
Tao Xiang, Jizhong Lou, and Zhaobin Su · 2001
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Entanglement in quantum critical phenomena
Guifre Vidal, José Ignacio Latorre, Enrique Rico, and Alexei Kitaev · 2003
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Quantum data compression, quantum information generation, and the density-matrix renormalization-group method
Ö Legeza and J Sólyom · 2004
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Entropy, entanglement, and area: analytical results for harmonic lattice systems
MB Plenio, J Eisert, J Dreissig, and M Cramer · 2005
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Computational complexity and fundamental limitations to fermionic quantum monte carlo simulations
Matthias Troyer and Uwe-Jens Wiese · 2005
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Violation of the entropic area law for fermions
Michael M Wolf · 2006
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Quantum phase transitions
Subir Sachdev · 2007
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Representational power of restricted boltzmann machines and deep belief networks
Nicolas Le Roux and Yoshua Bengio · 2008
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Justifying and generalizing contrastive divergence
Yoshua Bengio and Olivier Delalleau · 2009
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Quantum simulation of time-dependent hamiltonians and the convenient illusion of hilbert space
David Poulin, Angie Qarry, Rolando Somma, and Frank Verstraete · 2011
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Anomalies in the entanglement properties of the square-lattice heisenberg model
Ann B Kallin, Matthew B Hastings, Roger G Melko, and Rajiv RP Singh · 2011
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Quantum phases from competing short-and long-range interactions in an optical lattice
Renate Landig, Lorenz Hruby, Nishant Dogra, Manuele Landini, Rafael Mottl, Tobias Donner, and Tilman Esslinger · 2016
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Ultracold bosons with cavity-mediated long-range interactions: A local mean-field analysis of the phase diagram
Astrid E Niederle, Giovanna Morigi, and Heiko Rieger · 2016
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Quantum entanglement in neural network states
Dong-Ling Deng, Xiaopeng Li, and S Das Sarma · 2017
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Solving the quantum many-body problem with artificial neural networks
Giuseppe Carleo and Matthias Troyer · 2017
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On the equivalence of restricted boltzmann machines and tensor network states
Jing Chen, Song Cheng, Haidong Xie, Lei Wang, and Tao Xiang · 2017
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A practical introduction to tensor networks: Matrix product states and projected entangled pair states
Román Orús · 2014
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Phase transitions in a bose-hubbard model with cavity-mediated global-range interactions
Nishant Dogra, Ferdinand Brennecke, Sebastian D Huber, and Tobias Donner · 2016
Cited alongside, same era.
We take as a reference the state stored in the file Ground/Ising1d_40_0.5_1.wf found in the Supplementary Material of Ref. [ 14 ]
Cited in the paper.
We take as a reference the state stored in the file Ground/Ising1d_40_1_1.wf found in the Supplementary Material of Ref. [ 14 ]
Cited in the paper.
Efficient representation of quantum many-body states with deep neural networks
Xun Gao and Lu-Ming Duan · 2017
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Many-body quantum state tomography with neural networks
Giacomo Torlai, Guglielmo Mazzola, Juan Carrasquilla, Matthias Troyer, Roger Melko, and Giuseppe Carleo · 2017
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Neural-network quantum states, string-bond states, and chiral topological states
Ivan Glasser, Nicola Pancotti, Moritz August, Ivan D Rodriguez, and J Ignacio Cirac · 2018
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