Group-invariant quantum machine learning

M Larocca, F Sauvage, FM Sbahi, G Verdon, PJ Coles… - PRX Quantum, 2022 - APS
Quantum machine learning (QML) models are aimed at learning from data encoded in
quantum states. Recently, it has been shown that models with little to no inductive biases (ie …

Learning many-body Hamiltonians with Heisenberg-limited scaling

HY Huang, Y Tong, D Fang, Y Su - Physical Review Letters, 2023 - APS
Learning a many-body Hamiltonian from its dynamics is a fundamental problem in physics.
In this Letter, we propose the first algorithm to achieve the Heisenberg limit for learning an …

Modern applications of machine learning in quantum sciences

A Dawid, J Arnold, B Requena, A Gresch… - arxiv preprint arxiv …, 2022 - arxiv.org
In these Lecture Notes, we provide a comprehensive introduction to the most recent
advances in the application of machine learning methods in quantum sciences. We cover …

Variational quantum eigensolver for the Heisenberg antiferromagnet on the kagome lattice

J Kattemölle, J Van Wezel - Physical Review B, 2022 - APS
Establishing the nature of the ground state of the Heisenberg antiferromagnet (HAFM) on the
kagome lattice is well-known to be a prohibitively difficult problem for classical computers …

Variational inference with a quantum computer

M Benedetti, B Coyle, M Fiorentini, M Lubasch… - Physical Review …, 2021 - APS
Inference is the task of drawing conclusions about unobserved variables given observations
of related variables. Applications range from identifying diseases from symptoms to …

Quantum neural estimation of entropies

Z Goldfeld, D Patel, S Sreekumar, MM Wilde - Physical Review A, 2024 - APS
Entropy measures quantify the amount of information and correlation present in a quantum
system. In practice, when the quantum state is unknown and only copies thereof are …

Ab-initio study of interacting fermions at finite temperature with neural canonical transformation

H **e, L Zhang, L Wang - arxiv preprint arxiv:2105.08644, 2021 - arxiv.org
We present a variational density matrix approach to the thermal properties of interacting
fermions in the continuum. The variational density matrix is parametrized by a permutation …

Learning interacting fermionic Hamiltonians at the Heisenberg limit

A Mirani, P Hayden - arxiv preprint arxiv:2403.00069, 2024 - arxiv.org
Efficiently learning an unknown Hamiltonian given access to its dynamics is a problem of
interest for quantum metrology, many-body physics and machine learning. A fundamental …

Practical black box Hamiltonian learning

A Gu, L Cincio, PJ Coles - arxiv preprint arxiv:2206.15464, 2022 - arxiv.org
We study the problem of learning the parameters for the Hamiltonian of a quantum many-
body system, given limited access to the system. In this work, we build upon recent …

[HTML][HTML] Simulating lattice gauge theory with the variational quantum thermalizer

M Fromm, O Philipsen, M Spannowsky… - EPJ Quantum …, 2024 - Springer
The properties of strongly-coupled lattice gauge theories at finite density as well as in real
time have largely eluded first-principles studies on the lattice. This is due to the failure of …