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 …

Empowering deep neural quantum states through efficient optimization

A Chen, M Heyl - Nature Physics, 2024 - nature.com
Computing the ground state of interacting quantum matter is a long-standing challenge,
especially for complex two-dimensional systems. Recent developments have highlighted the …

Artificial intelligence for science in quantum, atomistic, and continuum systems

X Zhang, L Wang, J Helwig, Y Luo, C Fu, Y **e… - arxiv preprint arxiv …, 2023 - arxiv.org
Advances in artificial intelligence (AI) are fueling a new paradigm of discoveries in natural
sciences. Today, AI has started to advance natural sciences by improving, accelerating, and …

Quantum master equations: Tips and tricks for quantum optics, quantum computing, and beyond

F Campaioli, JH Cole, H Hapuarachchi - PRX Quantum, 2024 - APS
Quantum master equations are an invaluable tool to model the dynamics of a plethora of
microscopic systems, ranging from quantum optics and quantum information processing to …

A simple linear algebra identity to optimize large-scale neural network quantum states

R Rende, LL Viteritti, L Bardone, F Becca… - Communications …, 2024 - nature.com
Neural-network architectures have been increasingly used to represent quantum many-body
wave functions. These networks require a large number of variational parameters and are …

Variational benchmarks for quantum many-body problems

D Wu, R Rossi, F Vicentini, N Astrakhantsev, F Becca… - Science, 2024 - science.org
The continued development of computational approaches to many-body ground-state
problems in physics and chemistry calls for a consistent way to assess its overall progress …

Ab-initio variational wave functions for the time-dependent many-electron Schrödinger equation

J Nys, G Pescia, A Sinibaldi, G Carleo - Nature communications, 2024 - nature.com
Understanding the real-time evolution of many-electron quantum systems is essential for
studying dynamical properties in condensed matter, quantum chemistry, and complex …

Message-passing neural quantum states for the homogeneous electron gas

G Pescia, J Nys, J Kim, A Lovato, G Carleo - Physical Review B, 2024 - APS
We introduce a message-passing neural-network (NN)-based wave function Ansatz to
simulate extended, strongly interacting fermions in continuous space. Symmetry constraints …

High-accuracy variational Monte Carlo for frustrated magnets with deep neural networks

C Roth, A Szabó, AH MacDonald - Physical Review B, 2023 - APS
We show that neural quantum states based on very deep (4–16-layered) neural networks
can outperform state-of-the-art variational approaches on highly frustrated quantum …

Unbiasing time-dependent Variational Monte Carlo by projected quantum evolution

A Sinibaldi, C Giuliani, G Carleo, F Vicentini - Quantum, 2023 - quantum-journal.org
We analyze the accuracy and sample complexity of variational Monte Carlo approaches to
simulate the dynamics of many-body quantum systems classically. By systematically …