Group-invariant quantum machine learning
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 …
quantum states. Recently, it has been shown that models with little to no inductive biases (ie …
Learning many-body Hamiltonians with Heisenberg-limited scaling
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 …
In this Letter, we propose the first algorithm to achieve the Heisenberg limit for learning an …
Modern applications of machine learning in quantum sciences
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 …
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 …
kagome lattice is well-known to be a prohibitively difficult problem for classical computers …
Variational inference with a quantum computer
Inference is the task of drawing conclusions about unobserved variables given observations
of related variables. Applications range from identifying diseases from symptoms to …
of related variables. Applications range from identifying diseases from symptoms to …
Quantum neural estimation of entropies
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 …
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
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 …
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 …
interest for quantum metrology, many-body physics and machine learning. A fundamental …
Practical black box Hamiltonian learning
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 …
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 …
time have largely eluded first-principles studies on the lattice. This is due to the failure of …