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Solving for the lowest energy eigenstate of the many-body Schrodinger equation is a cornerstone problem that hinders understanding of a variety of quantum phenomena.
Antiferromagnetism
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Theory of superconductivity
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Fixed-node quantum monte carlo for moleculesa) b)
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On the violation of marshall-peierls sign rule in the frustrated j1-j2 heisenberg antiferromagnet
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Natural gradient works efficiently in learning
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Long-range néel order in the triangular heisenberg model
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Stochastic series expansion method with operator-loop update
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Quantum orders and symmetric spin liquids
X.-G. Wen · 2002
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Weak binding between two aromatic rings: Feeling the van der waals attraction by quantum monte carlo methods
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Approximating strongly correlated wave functions with correlator product states
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Phase diagram of a frustrated quantum antiferromagnet on the honeycomb lattice: Magnetic order versus valence-bond crystal formation
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Lattice symmetries and regular magnetic orders in classical frustrated antiferromagnets
L. Messio, C. Lhuillier, and G. Misguich · 2011
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Plaquette valence bond ordering in a j1–j2 heisenberg antiferromagnet on a honeycomb lattice
H. Mosadeq, F. Shahbazi, and S. Jafari · 2011
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Spin-liquid ground state of the s= 1/2 kagome heisenberg antiferromagnet
S. Yan, D. A. Huse, and S. R. White · 2011
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Phase diagram of a frustrated heisenberg antiferromagnet on the honeycomb lattice: The j 1-j 2-j 3 model
P. Li, R. Bishop, D. J. Farnell, and C. Campbell · 2012
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Direct evidence for a gapless z 2 spin liquid by frustrating néel antiferromagnetism
W.-J. Hu, F. Becca, A. Parola, and S. Sorella · 2013
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Gapless spin-liquid phase in the kagome spin-1 2 heisenberg antiferromagnet
Y. Iqbal, F. Becca, S. Sorella, and D. Poilblanc · 2013
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Plaquette ordered phase and quantum phase diagram in the spin-1 2 j 1- j 2 square heisenberg model
S.-S. Gong, W. Zhu, D. Sheng, O. I. Motrunich, and M. P. Fisher · 2014
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Gapless spin-liquid phase in an extended spin 1/2 triangular heisenberg model
R. Kaneko, S. Morita, and M. Imada · 2014
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Adam: A method for stochastic optimization
D. P. Kingma and J. Ba · 2014
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How powerful are graph neural networks?
K. Xu, W. Hu, J. Leskovec, and S. Jegelka · 2018
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Two-dimensional frustrated j 1- j 2 model studied with neural network quantum states
K. Choo, T. Neupert, and G. Carleo · 2019
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Neural gutzwiller-projected variational wave functions
F. Ferrari, F. Becca, and J. Carrasquilla · 2019
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S= 1 2 kagome heisenberg antiferromagnet revisited
A. M. Läuchli, J. Sudan, and R. Moessner · 2019
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Backflow transformations via neural networks for quantum many-body wave functions
D. Luo and B. K. Clark · 2019
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On the universality of invariant networks
H. Maron, E. Fetaya, N. Segol, and Y. Lipman · 2019
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Variational monte carlo study of a chiral spin liquid in the extended heisenberg model on the kagome lattice
W.-J. Hu, W. Zhu, Y. Zhang, S. Gong, F. Becca, and D. Sheng · 2015
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Phase diagram of the j 1- j 2 heisenberg model on the kagome lattice
F. Kolley, S. Depenbrock, I. P. McCulloch, U. Schollwöck, and V. Alba · 2015
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Solutions of the two-dimensional hubbard model: Benchmarks and results from a wide range of numerical algorithms
J. P. LeBlanc, A. E. Antipov, F. Becca, I. W. Bulik, G. K.-L. Chan, C.-M. Chung, Y. Deng, M. Ferrero, T. M. Henderson, C. A. Jiménez-Hoyos, et al · 2015
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Spin liquid nature in the heisenberg j 1- j 2 triangular antiferromagnet
Y. Iqbal, W.-J. Hu, R. Thomale, D. Poilblanc, and F. Becca · 2016
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Solving the quantum many-body problem with artificial neural networks
G. Carleo and M. Troyer · 2017
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Machine learning topological states
D.-L. Deng, X. Li, and S. D. Sarma · 2017
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Restricted boltzmann machine learning for solving strongly correlated quantum systems
Y. Nomura, A. S. Darmawan, Y. Yamaji, and M. Imada · 2017
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Randomness-induced spin-liquid-like phase in the spin-1 2 j 1- j 2 triangular heisenberg model
H.-Q. Wu, S.-S. Gong, and D. Sheng · 2019
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Fermionic neural-network states for ab-initio electronic structure
K. Choo, A. Mezzacapo, and G. Carleo · 2020
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Deep-neural-network solution of the electronic schrödinger equation
J. Hermann, Z. Schätzle, and F. Noé · 2020
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Recurrent neural network wave functions
M. Hibat-Allah, M. Ganahl, L. E. Hayward, R. G. Melko, and J. Carrasquilla · 2020
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Entanglement area law for shallow and deep quantum neural network states
Z.-A. Jia, L. Wei, Y.-C. Wu, G.-C. Guo, and G.-P. Guo · 2020
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Dirac-type nodal spin liquid revealed by machine learning
Y. Nomura and M. Imada · 2020
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Ab initio solution of the many-electron schrödinger equation with deep neural networks
D. Pfau, J. S. Spencer, A. G. Matthews, and W. M. C. Foulkes · 2020
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Deep autoregressive models for the efficient variational simulation of many-body quantum systems
O. Sharir, Y. Levine, N. Wies, G. Carleo, and A. Shashua · 2020
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Neural network wave functions and the sign problem
A. Szabó and C. Castelnovo · 2020
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Generalization properties of neural network approximations to frustrated magnet ground states
T. Westerhout, N. Astrakhantsev, K. S. Tikhonov, M. I. Katsnelson, and A. A. Bagrov · 2020
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Scalable variational monte carlo with graph neural ansatz
L. Yang, W. Hu, and L. Li · 2020
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Correlation-enhanced neural networks as interpretable variational quantum states
A. Valenti, E. Greplova, N. H. Lindner, and S. D. Huber · 2021
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