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We introduce a message-passing-neural-network-based wave function Ansatz to simulate extended, strongly interacting fermions in continuous space.
P. P. Ewald, Die berechnung optischer und elektrostatischer gitterpotentiale, Annalen der physik 369
1921
Earlier work this paper cites.
E. Wigner, On the interaction of electrons in metals, Phys. Rev. 46
1934
Earlier work this paper cites.
R. P. Feynman and M. Cohen, Energy spectrum of the excitations in liquid helium, Phys. Rev. 102
1956
Earlier work this paper cites.
D. Pines, Elementary excitations in solids, edited by jd jackson and d. pines (1963)
1963
Earlier work this paper cites.
T. M. Apostol, Mathematical analysis (1974)
1974
Earlier work this paper cites.
A. J. Leggett, A theoretical description of the new phases of liquid He 3 {}^{3}\mathrm{He} , Rev. Mod. Phys. 47
1975
Earlier work this paper cites.
D. M. Ceperley and B. J. Alder, Ground state of the electron gas by a stochastic method, Phys. Rev. Lett. 45
1980
Earlier work this paper cites.
Y. Kwon, D. Ceperley, and R. M. Martin, Effects of three-body and backflow correlations in the two-dimensional electron gas, Physical Review B 48
1993
Earlier work this paper cites.
L. M. Fraser, W. M. C. Foulkes, G. Rajagopal, R. J. Needs, S. D. Kenny, and A. J. Williamson, Finite-size effects and coulomb interactions in quantum monte carlo calculations for homogeneous systems with periodic boundary conditions, Phys. Rev. B 53
1996
Earlier work this paper cites.
A. Y. Toukmaji and J. A. Board Jr, Ewald summation techniques in perspective: a survey, Computer physics communications 95
1996
Earlier work this paper cites.
B. S. Pudliner, V. R. Pandharipande, J. Carlson, S. C. Pieper, and R. B. Wiringa, Quantum Monte Carlo calculations of nuclei with A < < = 7, Phys. Rev. C 56
1997
Earlier work this paper cites.
S. Sorella, Green function monte carlo with stochastic reconfiguration, Phys. Rev. Lett. 80
1998
Earlier work this paper cites.
Y. Kwon, D. M. Ceperley, and R. M. Martin, Effects of backflow correlation in the three-dimensional electron gas: Quantum monte carlo study, Phys. Rev. B 58
1998
Earlier work this paper cites.
C. Lin, F. Zong, and D. M. Ceperley, Twist-averaged boundary conditions in continuum quantum monte carlo algorithms, Physical Review E 64
2001
Earlier work this paper cites.
2001
Earlier work this paper cites.
M. Tinkham, Introduction to superconductivity (Courier Corporation, 2004)
2004
Earlier work this paper cites.
N. Drummond, Z. Radnai, J. Trail, M. Towler, and R. Needs, Diffusion quantum monte carlo study of three-dimensional wigner crystals, Physical Review B 69
2004
Earlier work this paper cites.
P. López Ríos, A. Ma, N. D. Drummond, M. D. Towler, and R. J. Needs, Inhomogeneous backflow transformations in quantum monte carlo calculations, Phys. Rev. E 74
2006
Earlier work this paper cites.
J. Toulouse and C. J. Umrigar, Optimization of quantum Monte Carlo wave functions by energy minimization, J. Chem. Phys. 126
2007
Earlier work this paper cites.
B. M. Austin, D. Y. Zubarev, and W. A. Lester Jr, Quantum monte carlo and related approaches, Chemical reviews 112
2012
Earlier work this paper cites.
E. Neuscamman, C. J. Umrigar, and G. K.-L. Chan, Optimizing large parameter sets in variational quantum monte carlo, Phys. Rev. B 85
2012
Earlier work this paper cites.
N. Drummond and R. Needs, Diffusion quantum monte carlo calculation of the quasiparticle effective mass of the two-dimensional homogeneous electron gas, Physical Review B 87
2013
Cited alongside, same era.
J. Carlson, S. Gandolfi, F. Pederiva, S. C. Pieper, R. Schiavilla, K. Schmidt, and R. B. Wiringa, Quantum monte carlo methods for nuclear physics, Reviews of Modern Physics 87
2015
Cited alongside, same era.
M. Taddei, M. Ruggeri, S. Moroni, and M. Holzmann, Iterative backflow renormalization procedure for many-body ground-state wave functions of strongly interacting normal fermi liquids, Physical Review B 91
2015
Cited alongside, same era.
2016
Cited alongside, same era.
M. Bukov, M. Schmitt, and M. Dupont, Learning the ground state of a non-stoquastic quantum Hamiltonian in a rugged neural network landscape, SciPost Phys. 10
2021
Later among the works it cites.
Y. Nomura and M. Imada, Dirac-type nodal spin liquid revealed by refined quantum many-body solver using neural-network wave function, correlation ratio, and level spectroscopy, Phys. Rev. X 11
2021
Later among the works it cites.
N. Astrakhantsev, T. Westerhout, A. Tiwari, K. Choo, A. Chen, M. H. Fischer, G. Carleo, and T. Neupert, Broken-symmetry ground states of the heisenberg model on the pyrochlore lattice, Phys. Rev. X 11
2021
Later among the works it cites.
C. Adams, G. Carleo, A. Lovato, and N. Rocco, Variational monte carlo calculations of a ≤ 4 a\leq 4 nuclei with an artificial neural-network correlator ansatz, Phys. Rev. Lett. 127
2021
Later among the works it cites.
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K. He, X. Zhang, S. Ren, and J. Sun, Deep residual learning for image recognition, in Proceedings of the IEEE conference on computer vision and pattern recognition (2016) pp. 770–778
2016
Cited alongside, same era.
2016
Cited alongside, same era.
G. Carleo and M. Troyer, Solving the quantum many-body problem with artificial neural networks, Science 355
2017
Cited alongside, same era.
D.-L. Deng, X. Li, and S. D. Sarma, Quantum entanglement in neural network states, Physical Review X 7
2017
Cited alongside, same era.
J. Gilmer, S. S. Schoenholz, P. F. Riley, O. Vinyals, and G. E. Dahl, Neural message passing for quantum chemistry, in International conference on machine learning (PMLR, 2017) pp. 1263–1272
2017
Cited alongside, same era.
A. Vaswani, N. Shazeer, N. Parmar, J. Uszkoreit, L. Jones, A. N. Gomez, Ł. Kaiser, and I. Polosukhin, Attention is all you need, Advances in neural information processing systems 30
2017
Cited alongside, same era.
K. Choo, G. Carleo, N. Regnault, and T. Neupert, Symmetries and many-body excitations with neural-network quantum states, Phys. Rev. Lett. 121
2018
Cited alongside, same era.
M. Ruggeri, S. Moroni, and M. Holzmann, Nonlinear network description for many-body quantum systems in continuous space, Phys. Rev. Lett. 120
2018
Cited alongside, same era.
K. Liao, T. Schraivogel, H. Luo, D. Kats, and A. Alavi, Towards efficient and accurate ab initio solutions to periodic systems via transcorrelation and coupled cluster theory, Phys. Rev. Research 3
2021
Later among the works it cites.
D. Häfner and F. Vicentini, mpi4jax: Zero-copy mpi communication of jax arrays, Journal of Open Source Software 6
2021
Later among the works it cites.
J. Robledo Moreno, G. Carleo, A. Georges, and J. Stokes, Fermionic wave functions from neural-network constrained hidden states, Proceedings of the National Academy of Sciences 119
2022
Later among the works it cites.
G. Pescia, J. Han, A. Lovato, J. Lu, and G. Carleo, Neural-network quantum states for periodic systems in continuous space, Physical Review Research 4
2022
Later among the works it cites.
2022
Later among the works it cites.
A. Gnech, C. Adams, N. Brawand, G. Carleo, A. Lovato, and N. Rocco, Nuclei with up to \ \backslash { \{ A= 6 } a = 6 \}a=6 nucleons with artificial neural network wave functions, Few-Body Systems 63
2022
Later among the works it cites.
A. Lovato, C. Adams, G. Carleo, and N. Rocco, Hidden-nucleons neural-network quantum states for the nuclear many-body problem, Physical Review Research 4
2022
Later among the works it cites.
X. Li, Z. Li, and J. Chen, Ab initio calculation of real solids via neural network ansatz, Nature Communications 13
2022
Later among the works it cites.
2022
Later among the works it cites.
2022
Later among the works it cites.
2022
Later among the works it cites.
2022
Later among the works it cites.
S. Azadi and N. D. Drummond, Low-density phase diagram of the three-dimensional electron gas, Phys. Rev. B 105
2022
Later among the works it cites.
F. Vicentini, D. Hofmann, A. Szabó, D. Wu, C. Roth, C. Giuliani, G. Pescia, J. Nys, V. Vargas-Calderón, N. Astrakhantsev, et al. , Netket 3: Machine learning toolbox for many-body quantum systems, SciPost Physics Codebases , 007 (2022)
2022
Later among the works it cites.
I. Batatia, D. P. Kovacs, G. Simm, C. Ortner, and G. Csányi, Mace: Higher order equivariant message passing neural networks for fast and accurate force fields, Advances in Neural Information Processing Systems 35
2022
Later among the works it cites.
M. Entwistle, Z. Schätzle, P. A. Erdman, J. Hermann, and F. Noé, Electronic excited states in deep variational monte carlo, Nature Communications 14
2023
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G. Cassella, H. Sutterud, S. Azadi, N. D. Drummond, D. Pfau, J. S. Spencer, and W. M. C. Foulkes, Discovering quantum phase transitions with fermionic neural networks, Phys. Rev. Lett. 130
2023
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