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The introduction of Neural Quantum States (NQS) has recently given a new twist to variational Monte Carlo (VMC).
The one-dimensional ising model with a transverse field ,
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Cluster monte carlo simulation of the transverse ising model ,
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Representational power of restricted boltzmann machines and deep belief networks ,
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Parallel distributed computing using python ,
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Simulating quantum computers with probabilistic methods ,
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Time-dependent variational principle for quantum lattices ,
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Python and HDF5 ,
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A practical introduction to tensor networks: Matrix product states and projected entangled pair states ,
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Quantum Monte Carlo Methods: Algorithms for Lattice Models ,
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Neural autoregressive distribution estimation ,
B. Uria, M.-A. Côté, K. Gregor, I. Murray and H. Larochelle, · 2016
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Real-time confinement following a quantum quench to a non-integrable model ,
M. Kormos, M. Collura, G. Takács and P. Calabrese, · 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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Neural network representation of tensor network and chiral states ,
Y. Huang and J. E. Moore, · 2017
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Massively parallel quantum computer simulator, eleven years later ,
H. De Raedt, F. Jin, D. Willsch, M. Willsch, N. Yoshioka, N. Ito, S. Yuan and K. Michielsen, · 2018
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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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Artificial neural network based computation for out-of-time-ordered correlators ,
Y. Wu, L.-M. Duan and D.-L. Deng, · 2020
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Quantum many-body dynamics in two dimensions with artificial neural networks ,
M. Schmitt and M. Heyl, · 2020
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Autoregressive neural network for simulating open quantum systems via a probabilistic formulation ,
D. Luo, Z. Chen, J. Carrasquilla and B. K. Clark, · 2020
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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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Neural-network quantum states, string-bond states, and chiral topological states ,
I. Glasser, N. Pancotti, M. August, I. D. Rodriguez and J. I. Cirac, · 2018
Cited alongside, same era.
Chiral topological phases from artificial neural networks ,
R. Kaubruegger, L. Pastori and J. C. Budich, · 2018
Cited alongside, same era.
Quenches near ising quantum criticality as a challenge for artificial neural networks ,
S. Czischek, M. Gaerttner and T. Gasenzer, · 2018
Cited alongside, same era.
Neural-network quantum state tomography ,
G. Torlai, G. Mazzola, J. Carrasquilla, M. Troyer, R. Melko and G. Carleo, · 2018
Cited alongside, same era.
Neural-network states for the classical simulation of quantum computing ,
B. Jónsson, B. Bauer and G. Carleo, · 2018
Cited alongside, same era.
JAX: composable transformations of Python+NumPy programs ,
J. Bradbury, R. Frostig, P. Hawkins, M. J. Johnson, C. Leary, D. Maclaurin, G. Necula, A. Paszke, J. VanderPlas, S. Wanderman-Milne and Q. Zhang, · 2018
Cited alongside, same era.
Symmetries and many-body excitations with neural-network quantum states ,
K. Choo, G. Carleo, N. Regnault and T. Neupert, · 2018
Cited alongside, same era.
Ab initio solution of the many-electron schrödinger equation with deep neural networks ,
D. Pfau, J. S. Spencer, A. G. D. G. Matthews and W. M. C. Foulkes, · 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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Geometry of learning neural quantum states ,
C.-Y. Park and M. J. Kastoryano, · 2020
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Geometry of variational methods: dynamics of closed quantum systems ,
L. Hackl, T. Guaita, T. Shi, J. Haegeman, E. Demler and J. I. Cirac, · 2020
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The universal approximation theorem for complex-valued neural networks ,
F. Voigtlaender, · 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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Simulating disordered quantum Ising chains via dense and sparse restricted Boltzmann machines ,
S. Pilati and P. Pieri, · 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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Flax: A neural network library and ecosystem for JAX ,
J. Heek, A. Levskaya, A. Oliver, M. Ritter, B. Rondepierre, A. Steiner and M. van Zee, · 2020
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Array programming with NumPy ,
C. R. Harris, K. J. Millman, S. J. van der Walt, R. Gommers, P. Virtanen, D. Cournapeau, E. Wieser, J. Taylor, S. Berg, N. J. Smith, R. Kern, M. Picus et al. , · 2020
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Helping restricted boltzmann machines with quantum-state representation by restoring symmetry ,
Y. Nomura, · 2021
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Broken-symmetry ground states of the heisenberg model on the pyrochlore lattice ,
N. Astrakhantsev, T. Westerhout, A. Tiwari, K. Choo, A. Chen, M. H. Fischer, G. Carleo and T. Neupert, · 2021
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Learning the ground state of a non-stoquastic quantum Hamiltonian in a rugged neural network landscape ,
M. Bukov, M. Schmitt and M. Dupont, · 2021
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Quantum phase transition dynamics in the two-dimensional transverse-field ising model ,
M. Schmitt, M. M. Rams, J. Dziarmaga, M. Heyl and W. H. Zurek, · 2021
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Unitary long-time evolution with quantum renormalization groups and artificial neural networks ,
H. Burau and M. Heyl, · 2021
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Time-dependent variational principle for open quantum systems with artificial neural networks ,
M. Reh, M. Schmitt and M. Gärttner, · 2021
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D. Hofmann, G. Fabiani, J. H. Mentink, G. Carleo and M. A. Sentef, · 2021
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