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Simulating the dynamics of many-body quantum systems is a significant challenge, especially in higher dimensions where entanglement grows rapidly.
A. McLachlan, A variational solution of the time-dependent schrodinger equation, Molecular Physics 8
1964
Earlier work this paper cites.
J. Broeckhove, L. Lathouwers, E. Kesteloot, and P. Van Leuven, On the equivalence of time-dependent variational principles, Chemical physics letters 149
1988
Earlier work this paper cites.
G. Cybenko, Approximation by superpositions of a sigmoidal function, Math. Control. Signals, Syst. 2
1989
Earlier work this paper cites.
K. Hornik, Approximation capabilities of multilayer feedforward networks, Neural Netw 4
1991
Earlier work this paper cites.
S. Diehl, A. Tomadin, A. Micheli, R. Fazio, and P. Zoller, Dynamical phase transitions and instabilities in open atomic many-body systems, Physical review letters 105
2010
Earlier work this paper cites.
J. Richter and J. Schulenburg, The spin-1/2 j1–j2 heisenberg antiferromagnet on the square lattice: Exact diagonalization for n= 40 spins, The European Physical Journal B 73
2010
Earlier work this paper cites.
S. Hild, T. Fukuhara, P. Schauß, J. Zeiher, M. Knap, E. Demler, I. Bloch, and C. Gross, Far-from-equilibrium spin transport in heisenberg quantum magnets, Phys. Rev. Lett. 113
2014
Earlier work this paper cites.
T. Langen, T. Gasenzer, and J. Schmiedmayer, Prethermalization and universal dynamics in near-integrable quantum systems, Journal of Statistical Mechanics: Theory and Experiment 2016
2016
Earlier work this paper 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
Earlier work this paper cites.
H. Labuhn, D. Barredo, S. Ravets, S. De Léséleuc, T. Macrì, T. Lahaye, and A. Browaeys, Tunable two-dimensional arrays of single rydberg atoms for realizing quantum ising models, Nature 534
2016
Earlier work this paper cites.
D. A. Abanin and Z. Papić, Recent progress in many-body localization, Annalen der Physik 529
2017
Earlier work this paper cites.
J. Zhang, P. W. Hess, A. Kyprianidis, P. Becker, A. Lee, J. Smith, G. Pagano, I.-D. Potirniche, A. C. Potter, A. Vishwanath, et al. , Observation of a discrete time crystal, Nature 543
2017
Earlier work this paper cites.
S. Choi, J. Choi, R. Landig, G. Kucsko, H. Zhou, J. Isoya, F. Jelezko, S. Onoda, H. Sumiya, V. Khemani, C. von Keyserlingk, N. Y. Yao, E. Demler, and M. D. Lukin, Observation of discrete time-crystalline order in a disordered dipolar many-body system, Nature 543
2017
Earlier work this paper cites.
H. Bernien, S. Schwartz, A. Keesling, H. Levine, A. Omran, H. Pichler, S. Choi, A. S. Zibrov, M. Endres, M. Greiner, et al. , Probing many-body dynamics on a 51-atom quantum simulator, Nature 551
2017
Earlier work this paper cites.
P. Bordia, H. Lüschen, S. Scherg, S. Gopalakrishnan, M. Knap, U. Schneider, and I. Bloch, Probing Slow Relaxation and Many-Body Localization in Two-Dimensional Quasiperiodic Systems, Phys. Rev. X 7
2017
Earlier work this paper cites.
G. Carleo and M. Troyer, Solving the quantum many-body problem with artificial neural networks, Science 355
2017
Earlier work this paper cites.
F. Becca and S. Sorella, Quantum Monte Carlo approaches for correlated systems (Cambridge University Press, 2017)
2017
Earlier work this paper cites.
A. Vaswani, Attention is all you need, Advances in Neural Information Processing Systems (2017)
2017
Earlier work this paper cites.
M. Heyl, Dynamical quantum phase transitions: a review, Reports on Progress in Physics 81
2018
Earlier work this paper cites.
A. G. Baydin, B. A. Pearlmutter, A. A. Radul, and J. M. Siskind, Automatic differentiation in machine learning: a survey, Journal of Machine Learning Research 18
2018
Earlier work this paper cites.
E. Guardado-Sanchez, P. T. Brown, D. Mitra, T. Devakul, D. A. Huse, P. Schauß, and W. S. Bakr, Probing the quench dynamics of antiferromagnetic correlations in a 2d quantum ising spin system, Physical Review X 8
2018
Cited alongside, same era.
P. Schauss, Quantum simulation of transverse ising models with rydberg atoms, Quantum Science and Technology 3
2018
Cited alongside, same era.
S. Paeckel, T. Köhler, A. Swoboda, S. R. Manmana, U. Schollwöck, and C. Hubig, Time-evolution methods for matrix-product states, Annals of Physics 411
2019
Cited alongside, same era.
M. J. Hartmann and G. Carleo, Neural-Network Approach to Dissipative Quantum Many-Body Dynamics, Physical Review Letters 122
2019
Cited alongside, same era.
Y. Levine, O. Sharir, N. Cohen, and A. Shashua, Quantum entanglement in deep learning architectures, Phys. Rev. Lett. 122
2019
D. Hofmann, G. Fabiani, J. H. Mentink, G. Carleo, and M. A. Sentef, Role of stochastic noise and generalization error in the time propagation of neural-network quantum states, SciPost Physics 12
2022
Later among the works it cites.
I. L. Gutiérrez and C. B. Mendl, Real time evolution with neural-network quantum states, Quantum 6
2022
Later among the works it cites.
Y.-J. Xie, H.-N. Dai, Z.-S. Yuan, Y. Deng, X. Li, Y.-A. Chen, and J.-W. Pan, Bayesian learning for optimal control of quantum many-body states in optical lattices, Physical Review A 106
2022
Later among the works it cites.
L. L. Viteritti, R. Rende, and F. Becca, Transformer variational wave functions for frustrated quantum spin systems, Physical Review Letters 130
2023
Later among the works it cites.
M. Medvidović and D. Sels, Variational Quantum Dynamics of Two-Dimensional Rotor Models, PRX Quantum 4
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A. Keesling, A. Omran, H. Levine, H. Bernien, H. Pichler, S. Choi, R. Samajdar, S. Schwartz, P. Silvi, S. Sachdev, et al. , Quantum kibble–zurek mechanism and critical dynamics on a programmable rydberg simulator, Nature 568
2019
Cited alongside, same era.
P. Czarnik, J. Dziarmaga, and P. Corboz, Time evolution of an infinite projected entangled pair state: An efficient algorithm, Phys. Rev. B 99
2019
Cited alongside, same era.
M. Schmitt and M. Heyl, Quantum many-body dynamics in two dimensions with artificial neural networks, Physical Review Letters 125
2020
Cited alongside, same era.
S. Sun, Z. Cao, H. Zhu, and J. Zhao, A survey of optimization methods from a machine learning perspective, IEEE Transactions on Cybernetics 50
2020
Cited alongside, same era.
A. Browaeys and T. Lahaye, Many-body physics with individually controlled rydberg atoms, Nature Physics 16
2020
Cited alongside, same era.
J. Richter, T. Heitmann, and R. Steinigeweg, Quantum quench dynamics in the transverse-field ising model: A numerical expansion in linked rectangular clusters, SciPost Physics 9
2020
Cited alongside, same era.
O. Sharir, Y. Levine, N. Wies, G. Carleo, and A. Shashua, Deep autoregressive models for the efficient variational simulation of many-body quantum systems, Physical review letters 124
2020
Cited alongside, same era.
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2023
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K. Donatella, Z. Denis, A. Le Boité, and C. Ciuti, Dynamics with autoregressive neural quantum states: Application to critical quench dynamics, Physical Review A 108
2023
Later among the works it cites.
A. Sinibaldi, C. Giuliani, G. Carleo, and F. Vicentini, Unbiasing time-dependent variational monte carlo by projected quantum evolution, Quantum 7
2023
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Y.-H. Zhang and M. Di Ventra, Transformer quantum state: A multipurpose model for quantum many-body problems, Physical Review B 107
2023
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