How to use neural networks to investigate quantum many-body physics

J Carrasquilla, G Torlai - PRX Quantum, 2021 - APS
Over the past few years, machine learning has emerged as a powerful computational tool to
tackle complex problems in a broad range of scientific disciplines. In particular, artificial …

Variational neural annealing

M Hibat-Allah, EM Inack, R Wiersema… - Nature Machine …, 2021 - nature.com
Many important challenges in science and technology can be cast as optimization problems.
When viewed in a statistical physics framework, these can be tackled by simulated …

Challenges of variational quantum optimization with measurement shot noise

G Scriva, N Astrakhantsev, S Pilati, G Mazzola - Physical Review A, 2024 - APS
Quantum enhanced optimization of classical cost functions is a central theme of quantum
computing due to its high potential value in science and technology. The variational …

Neural annealing and visualization of autoregressive neural networks in the Newman–Moore model

EM Inack, S Morawetz, RG Melko - Condensed Matter, 2022 - mdpi.com
Artificial neural networks have been widely adopted as ansatzes to study classical and
quantum systems. However, for some notably hard systems, such as those exhibiting …

Zero-temperature Monte Carlo simulations of two-dimensional quantum spin glasses guided by neural network states

L Brodoloni, S Pilati - Physical Review E, 2024 - APS
A continuous-time projection quantum Monte Carlo algorithm is employed to simulate the
ground state of a short-range quantum spin-glass model, namely, the two-dimensional …

Simulating disordered quantum Ising chains via dense and sparse restricted Boltzmann machines

S Pilati, P Pieri - Physical Review E, 2020 - APS
In recent years, generative artificial neural networks based on restricted Boltzmann
machines (RBMs) have been successfully employed as accurate and flexible variational …

Supervised learning of random quantum circuits via scalable neural networks

S Cantori, D Vitali, S Pilati - Quantum Science and Technology, 2023 - iopscience.iop.org
Predicting the output of quantum circuits is a hard computational task that plays a pivotal role
in the development of universal quantum computers. Here we investigate the supervised …

Neural networks in quantum many-body physics: a hands-on tutorial

J Carrasquilla, G Torlai - arxiv preprint arxiv:2101.11099, 2021 - arxiv.org
Over the past years, machine learning has emerged as a powerful computational tool to
tackle complex problems over a broad range of scientific disciplines. In particular, artificial …

Nonperturbative theory of zero-phonon transitions

V Hizhnyakov - Chemical Physics Letters, 2022 - Elsevier
A nonperturbative theory of zero-phonon transitions in impurity centers in crystals is
proposed in the case of arbitrary linear and quadratic vibronic interaction with a phonon …

Quantum Monte Carlo simulation of BEC-impurity tunneling

AS Popova, VV Tiunova, AN Rubtsov - Physical Review B, 2021 - APS
Polaron tunneling is a prominent example of a problem characterized by different energy
scales, for which the standard quantum Monte Carlo methods face a slowdown problem. We …