Antn: Bridging autoregressive neural networks and tensor networks for quantum many-body simulation

Z Chen, L Newhouse, E Chen… - Advances in Neural …, 2023 - proceedings.neurips.cc
Quantum many-body physics simulation has important impacts on understanding
fundamental science and has applications to quantum materials design and quantum …

Variational neural-network ansatz for continuum quantum field theory

JM Martyn, K Najafi, D Luo - Physical Review Letters, 2023 - APS
Physicists dating back to Feynman have lamented the difficulties of applying the variational
principle to quantum field theories. In nonrelativistic quantum field theories, the challenge is …

Symmetric tensor networks for generative modeling and constrained combinatorial optimization

J Lopez-Piqueres, J Chen… - … Learning: Science and …, 2023 - iopscience.iop.org
Constrained combinatorial optimization problems abound in industry, from portfolio
optimization to logistics. One of the major roadblocks in solving these problems is the …

Q-flow: generative modeling for differential equations of open quantum dynamics with normalizing flows

OM Dugan, PY Lu, R Dangovski… - International …, 2023 - proceedings.mlr.press
Studying the dynamics of open quantum systems can enable breakthroughs both in
fundamental physics and applications to quantum engineering and quantum computation …

Deep learning lattice gauge theories

A Apte, C Córdova, TC Huang, A Ashmore - Physical Review B, 2024 - APS
Monte Carlo methods have led to profound insights into the strong-coupling behavior of
lattice gauge theories and produced remarkable results such as first-principles computations …

Gauged Gaussian projected entangled pair states: A high dimensional tensor network formulation for lattice gauge theories

A Kelman, U Borla, I Gomelski, J Elyovich, G Roose… - Physical Review D, 2024 - APS
Gauge theories form the basis of our understanding of modern physics—ranging from the
description of quarks and gluons to effective models in condensed matter physics. In the …

Simulating 2+ 1d lattice quantum electrodynamics at finite density with neural flow wavefunctions

Z Chen, D Luo, K Hu, BK Clark - arxiv preprint arxiv:2212.06835, 2022 - arxiv.org
We present a neural flow wavefunction, Gauge-Fermion FlowNet, and use it to simulate 2+
1D lattice compact quantum electrodynamics with finite density dynamical fermions. The …

Approximately-symmetric neural networks for quantum spin liquids

DS Kufel, J Kemp, SM Linsel, CR Laumann… - arxiv preprint arxiv …, 2024 - arxiv.org
We propose and analyze a family of approximately-symmetric neural networks for quantum
spin liquid problems. These tailored architectures are parameter-efficient, scalable, and …

Pairing-based graph neural network for simulating quantum materials

D Luo, DD Dai, L Fu - arxiv preprint arxiv:2311.02143, 2023 - arxiv.org
We introduce a pairing-based graph neural network, $\textit {GemiNet} $, for simulating
quantum many-body systems. Our architecture augments a BCS mean-field wavefunction …

Variational Monte Carlo algorithm for lattice gauge theories with continuous gauge groups: A study of -dimensional compact QED with dynamical fermions at …

J Bender, P Emonts, JI Cirac - Physical Review Research, 2023 - APS
Lattice gauge theories coupled to fermionic matter account for many interesting phenomena
in both high-energy physics and condensed-matter physics. Certain regimes, eg, at finite …