From architectures to applications: A review of neural quantum states

H Lange, A Van de Walle, A Abedinnia… - Quantum Science and …, 2024 - iopscience.iop.org
Due to the exponential growth of the Hilbert space dimension with system size, the
simulation of quantum many-body systems has remained a persistent challenge until today …

Machine-learning-assisted Monte Carlo fails at sampling computationally hard problems

S Ciarella, J Trinquier, M Weigt… - … Learning: Science and …, 2023 - iopscience.iop.org
Several strategies have been recently proposed in order to improve Monte Carlo sampling
efficiency using machine learning tools. Here, we challenge these methods by considering a …

Roadmap on machine learning glassy dynamics

G Jung, RM Alkemade, V Bapst, D Coslovich… - arxiv preprint arxiv …, 2023 - arxiv.org
Unraveling the connections between microscopic structure, emergent physical properties,
and slow dynamics has long been a challenge when studying the glass transition. The …

Sparse autoregressive neural networks for classical spin systems

I Biazzo, D Wu, G Carleo - Machine Learning: Science and …, 2024 - iopscience.iop.org
Efficient sampling and approximation of Boltzmann distributions involving large sets of
binary variables, or spins, are pivotal in diverse scientific fields even beyond physics. Recent …

Message passing variational autoregressive network for solving intractable Ising models

Q Ma, Z Ma, J Xu, H Zhang, M Gao - Communications Physics, 2024 - nature.com
Deep neural networks have been used to solve Ising models, including autoregressive
neural networks, convolutional neural networks, recurrent neural networks, and graph …

Boundary conditions dependence of the phase transition in the quantum Newman-Moore model

K Sfairopoulos, L Causer, JF Mair, JP Garrahan - Physical Review B, 2023 - APS
We study the triangular plaquette model (TPM), also known as the Newman-Moore model, in
the presence of a transverse magnetic field on a lattice with periodic boundaries in both …

Roadmap on machine learning glassy dynamics

G Jung, RM Alkemade, V Bapst, D Coslovich… - Nature Reviews …, 2025 - nature.com
Unravelling the connections between microscopic structure, emergent physical properties
and slow dynamics has long been a challenge when studying the glass transition. The …

Supplementing recurrent neural networks with annealing to solve combinatorial optimization problems

SA Khandoker, JM Abedin… - … Learning: Science and …, 2023 - iopscience.iop.org
Combinatorial optimization problems can be solved by heuristic algorithms such as
simulated annealing (SA) which aims to find the optimal solution within a large search space …

The autoregressive neural network architecture of the Boltzmann distribution of pairwise interacting spins systems

I Biazzo - Communications Physics, 2023 - nature.com
Abstract Autoregressive Neural Networks (ARNNs) have shown exceptional results in
generation tasks across image, language, and scientific domains. Despite their success …

Universal performance gap of neural quantum states applied to the Hofstadter-Bose-Hubbard model

E Ledinauskas, E Anisimovas - SciPost Physics, 2025 - scipost.org
Abstract Neural Quantum States (NQS) have demonstrated significant potential in
approximating ground states of many-body quantum systems, though their performance can …