Learning -body Hamiltonians via compressed sensing

M Ma, ST Flammia, J Preskill, Y Tong - arXiv preprint arXiv:2410.18928, 2024 - arxiv.org
We study the problem of learning a $ k $-body Hamiltonian with $ M $ unknown Pauli terms
that are not necessarily geometrically local. We propose a protocol that learns the …

Simulation-assisted learning of open quantum systems

K Wang, X Li - Quantum, 2024 - quantum-journal.org
Abstract Models for open quantum systems, which play important roles in electron transport
problems and quantum computing, must take into account the interaction of the quantum …

Learning the structure of any Hamiltonian from minimal assumptions

A Zhao - arXiv preprint arXiv:2410.21635, 2024 - arxiv.org
We study the problem of learning an unknown quantum many-body Hamiltonian $ H $ from
black-box queries to its time evolution $ e^{-\mathrm {i} H t} $. Prior proposals for solving this …

Structure learning of Hamiltonians from real-time evolution

A Bakshi, A Liu, A Moitra, E Tang - arXiv preprint arXiv:2405.00082, 2024 - arxiv.org
We initiate the study of Hamiltonian structure learning from real-time evolution: given the
ability to apply $ e^{-\mathrm {i} Ht} $ for an unknown local Hamiltonian $ H=\sum_ {a= 1} …

Learning the local density of states of a bilayer moir\'e material in one dimension

D Liu, AB Watson, M Hott, S Carr, M Luskin - arXiv preprint arXiv …, 2024 - arxiv.org
Recent work of three of the authors showed that the operator which maps the local density of
states of a one-dimensional untwisted bilayer material to the local density of states of the …

Quantum Graph Neural Networks for Time Propagation in Condensed Matter

K Yurtseven - 2024 - search.proquest.com
Abstract Quantum Graph Neural Networks (QGNN) are a new class of quantum neural
network ansatz which are tailored to represent quantum processes which have a graph …