Constructing neural stationary states for open quantum many-body systems

N Yoshioka, R Hamazaki - Physical Review B, 2019 - APS
We propose a scheme based on the neural-network quantum states to simulate the
stationary states of open quantum many-body systems. Using the high expressive power of …

Drawing phase diagrams of random quantum systems by deep learning the wave functions

T Ohtsuki, T Mano - Journal of the Physical Society of Japan, 2020 - journals.jps.jp
Applications of neural networks to condensed matter physics are becoming popular and
beginning to be well accepted. Obtaining and representing the ground and excited state …

Purifying deep boltzmann machines for thermal quantum states

Y Nomura, N Yoshioka, F Nori - Physical review letters, 2021 - APS
We develop two cutting-edge approaches to construct deep neural networks representing
the purified finite-temperature states of quantum many-body systems. Both methods …

Disentangling representations in restricted boltzmann machines without adversaries

J Fernandez-de-Cossio-Diaz, S Cocco, R Monasson - Physical Review X, 2023 - APS
A goal of unsupervised machine learning is to build representations of complex high-
dimensional data, with simple relations to their properties. Such disentangled …

Large-scale Ising emulation with four body interaction and all-to-all connections

S Kumar, H Zhang, YP Huang - Communications Physics, 2020 - nature.com
Optical Ising machines with two-body interactions have shown potential in solving
combinatorial optimization problems which are extremely hard to solve with digital …

Barriers and dynamical paths in alternating Gibbs sampling of restricted Boltzmann machines

C Roussel, S Cocco, R Monasson - Physical Review E, 2021 - APS
Restricted Boltzmann machines (RBM) are bilayer neural networks used for the
unsupervised learning of model distributions from data. The bipartite architecture of RBM …

Deep reinforcement learning for preparation of thermal and prethermal quantum states

SZ Baba, N Yoshioka, Y Ashida, T Sagawa - Physical Review Applied, 2023 - APS
We propose a method based on deep reinforcement learning that efficiently prepares a
quantum many-body pure state in thermal or prethermal equilibrium. The main physical …

Exact representations of many-body interactions with restricted-Boltzmann-machine neural networks

E Rrapaj, A Roggero - Physical Review E, 2021 - APS
Restricted Boltzmann machines (RBMs) are simple statistical models defined on a bipartite
graph which have been successfully used in studying more complicated many-body …

Convolutional restricted Boltzmann machine aided Monte Carlo: An application to Ising and Kitaev models

D Alcalde Puente, IM Eremin - Physical Review B, 2020 - APS
Machine learning is becoming widely used in analyzing the thermodynamics of many-body
condensed matter systems. Restricted Boltzmann machine (RBM) aided Monte Carlo …

Learning spin liquids on a honeycomb lattice with artificial neural networks

CX Li, S Yang, JB Xu - Scientific Reports, 2021 - nature.com
Abstract Machine learning methods provide a new perspective on the study of many-body
system in condensed matter physics and there is only limited understanding of their …