Language models for quantum simulation

RG Melko, J Carrasquilla - Nature Computational Science, 2024 - nature.com
A key challenge in the effort to simulate today's quantum computing devices is the ability to
learn and encode the complex correlations that occur between qubits. Emerging …

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 …

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 …

Neural-network quantum states for many-body physics

M Medvidović, JR Moreno - arxiv preprint arxiv:2402.11014, 2024 - arxiv.org
Variational quantum calculations have borrowed many tools and algorithms from the
machine learning community in the recent years. Leveraging great expressive power and …

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 …

Highly resolved spectral functions of two-dimensional systems with neural quantum states

T Mendes-Santos, M Schmitt, M Heyl - Physical Review Letters, 2023 - APS
Spectral functions are central to link experimental probes to theoretical models in
condensed matter physics. However, performing exact numerical calculations for interacting …

Wave-Function Network Description and Kolmogorov Complexity of Quantum Many-Body Systems

T Mendes-Santos, M Schmitt, A Angelone, A Rodriguez… - Physical Review X, 2024 - APS
Programmable quantum devices are now able to probe wave functions at unprecedented
levels. This is based on the ability to project the many-body state of atom and qubit arrays …

Neural network approach to quasiparticle dispersions in doped antiferromagnets

H Lange, F Döschl, J Carrasquilla, A Bohrdt - Communications Physics, 2024 - nature.com
Numerically simulating large, spinful, fermionic systems is of great interest in condensed
matter physics. However, the exponential growth of the Hilbert space dimension with system …

Autoregressive neural quantum states of Fermi Hubbard models

E Ibarra-García-Padilla, H Lange, RG Melko… - Physical Review …, 2025 - APS
Neural quantum states (NQSs) have emerged as a powerful ansatz for variational quantum
Monte Carlo studies of strongly correlated systems. Here, we apply recurrent neural …

Neural network quantum states for the interacting Hofstadter model with higher local occupations and long-range interactions

F Döschl, FA Palm, H Lange, F Grusdt, A Bohrdt - Physical Review B, 2025 - APS
Due to their immense representative power, neural network quantum states (NQS) have
gained significant interest in current research. In recent advances in the field of NQS, it has …