NetKet: A Machine Learning Toolkit for Many-Body Quantum Systems

M. J. Hartmann, G. Carleo, Neural-Network Approach to Dissipative Quantum Many-Body Dynamics , arXiv:1902.05131 [cond-mat, physics:quant-ph]ArXiv: 1902.05131. URL http://arxiv.org/abs/1902.05131

Original

1902

Earlier work this paper cites.

N. Yoshioka, R. Hamazaki, Constructing neural stationary states for open quantum many-body systems , arXiv:1902.07006. URL http://arxiv.org/abs/1902.07006

Original

1902

Earlier work this paper cites.

A. Nagy, V. Savona, Variational quantum Monte Carlo with neural network ansatz for open quantum systems , arXiv:1902.09483. URL http://arxiv.org/abs/1902.09483

Original

1902

Earlier work this paper cites.

F. Vicentini, A. Biella, N. Regnault, C. Ciuti, Variational neural network ansatz for steady states in open quantum systems , arXiv:1902.10104. URL http://arxiv.org/abs/1902.10104

Original

1902

Earlier work this paper cites.

G. Carleo, I. Cirac, K. Cranmer, L. Daudet, M. Schuld, N. Tishby, L. Vogt-Maranto, L. Zdeborová, Machine learning and the physical sciences , arXiv:1903.10563. URL http://arxiv.org/abs/1903.10563

Original

1903

Earlier work this paper cites.

doi:10.1063/1.1699114

N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, E. Teller, Equation of state calculations by fast computing machines , The Journal of Chemical Physics 21 (6) (1953) 1087–1092 · 1953

Earlier work this paper cites.

doi:10.1016/0021-9991(81)90056-5

J. Cullum, R. A. Willoughby, Computing eigenvalues of very large symmetric matrices—an implementation of a lanczos algorithm with no reorthogonalization, Journal of Computational Physics 44 (2) (1981) 329 – 358 · 1981

Earlier work this paper cites.

J. Cullum, R. A. Willoughby, Lanczos Algorithms for Large Symmetric Eigenvalue Computations Vol. I Theory (Progress in Scientific Computing) (Volume 1), Birkhäuser, 1985

1985

Earlier work this paper cites.

doi:10.1103/PhysRevLett.57.2607

R. H. Swendsen, J.-S. Wang, Replica monte carlo simulation of spin-glasses , Phys. Rev. Lett. 57 (1986) 2607–2609 · 1986

Earlier work this paper cites.

doi:10.1103/RevModPhys.63.1

E. Manousakis, The spin-½ heisenberg antiferromagnet on a square lattice and its application to the cuprous oxides , Rev. Mod. Phys. 63 (1991) 1–62 · 1991

Earlier work this paper cites.

doi:10.1103/physrevlett.69.2863

S. R. White, Density matrix formulation for quantum renormalization groups , Physical Review Letters 69 (19) (1992) 2863–2866 · 1992

Earlier work this paper cites.

doi:10.1103/physrevb.55.2164

S. Rommer, S. Östlund, Class of ansatz wave functions for one-dimensional spin systems and their relation to the density matrix renormalization group , Physical Review B 55 (4) (1997) 2164–2181 · 1997

Earlier work this paper cites.

doi:10.1103/PhysRevLett.80.4558

S. Sorella, Green function monte carlo with stochastic reconfiguration , Phys. Rev. Lett. 80 (1998) 4558–4561 · 1998

Earlier work this paper cites.

doi:10.1162/089976698300017746

Shun-ichi Amari, Natural Gradient Works Efficiently in Learning , Neural Computation 10 (2) (1998) 251–276 · 1998

Earlier work this paper cites.

doi:10.1103/PhysRevA.64.052312

D. F. V. James, P. G. Kwiat, W. J. Munro, A. G. White, Measurement of qubits , Phys. Rev. A 64 (2001) 052312 · 2001

Earlier work this paper cites.

doi:10.1063/1.1604379

M. Casula, S. Sorella, Geminal wave functions with jastrow correlation: A first application to atoms , The Journal of Chemical Physics 119 (13) (2003) 6500–6511 · 2003

Earlier work this paper cites.

doi:10.1016/j.jmmm.2006.10.304

A. Albuquerque, F. Alet, P. Corboz, P. Dayal, A. Feiguin, S. Fuchs, L. Gamper, E. Gull, S. Gürtler, A. Honecker, R. Igarashi, M. Körner, A. Kozhevnikov, A. Läuchli, S. Manmana, M. Matsumoto, I. McCulloch, F. Michel, R. Noack, G. Pawłowski, L. Pollet, T. Pruschke, U. Schollwöck, S. Todo, S. Trebst, M. Troyer, P. Werner, S. Wessel, The ALPS project release 1.3: Open-source software for strongly correlated systems , Journal of Magnetism and Magnetic Materials 310 (2) (2007) 1187–1193 · 2006

Cited alongside, same era.

T. Oliphant, NumPy: A guide to NumPy , USA: Trelgol Publishing (2006–). URL https://www.numpy.org/

2006

Cited alongside, same era.

doi:10.1126/science.1127647

G. E. Hinton, Reducing the dimensionality of data with neural networks , Science 313 (5786) (2006) 504–507 · 2006

Cited alongside, same era.

G. Guennebaud, B. Jacob, et al., Eigen v3, http://eigen.tuxfamily.org (2010)

2010

Cited alongside, same era.

doi:10.1016/j.aop.2010.09.012

U. Schollwöck, The density-matrix renormalization group in the age of matrix product states , Annals of Physics 326 (1) (2011) 96–192 · 2010

Cited alongside, same era.

doi:https://doi.org/10.1016/j.patcog.2017.10.013

J. Gu, Z. Wang, J. Kuen, L. Ma, A. Shahroudy, B. Shuai, T. Liu, X. Wang, G. Wang, J. Cai, T. Chen, Recent advances in convolutional neural networks , Pattern Recognition 77 (2018) 354–377 · 2017

Later among the works it cites.

A. Paszke, S. Gross, S. Chintala, G. Chanan, E. Yang, Z. DeVito, Z. Lin, A. Desmaison, L. Antiga, A. Lerer, Automatic differentiation in pytorch, in: NIPS-W, 2017

2017

Later among the works it cites.

doi:10.1103/PhysRevB.97.035116

Z. Cai, J. Liu, Approximating quantum many-body wave functions using artificial neural networks , Physical Review B 97 (3) (2018) 035116 · 2018

Later among the works it cites.

doi:10.1038/s41567-018-0048-5

G. Torlai, G. Mazzola, J. Carrasquilla, M. Troyer, R. Melko, G. Carleo, Neural-network quantum state tomography , Nature Physics 14 (5) (2018) 447–450 · 2018

Later among the works it cites.

doi:10.1103/PhysRevLett.121.167204

K. Choo, G. Carleo, N. Regnault, T. Neupert, Symmetries and Many-Body Excitations with Neural-Network Quantum States , Phys. Rev. Lett. 121 (2018) 167204 · 2018

Later among the works it cites.