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@ARTICLE{Zhang:474798,
author = {Zhang, Jinglei and Ferguson, Ryan and Kühn, Stefan and
Haase, Jan F. and Wilson, C. M. and Jansen, Karl and
Muschik, Christine A.},
title = {{S}imulating gauge theories with variational quantum
eigensolvers in superconducting microwave cavities},
reportid = {PUBDB-2022-01005, arXiv:2108.08248},
year = {2022},
note = {22 pages, 9 figures},
abstract = {Quantum-enhanced computing methods are promising candidates
to solve currently intractable problems. We consider here a
variational quantum eigensolver (VQE), that delegates costly
state preparations and measurements to quantum hardware,
while classical optimization techniques guide the quantum
hardware to create a desired target state. In this work, we
propose a bosonic VQE using superconducting microwave
cavities, overcoming the typical restriction of a small
Hilbert space when the VQE is qubit based. The considered
platform allows for strong nonlinearities between photon
modes, which are highly customisable and can be tuned in
situ, i.e. during running experiments. Our proposal hence
allows for the realization of a wide range of bosonic ansatz
states, and is therefore especially useful when simulating
models involving degrees of freedom that cannot be simply
mapped to qubits, such as gauge theories, that include
components which require infinite-dimensional Hilbert
spaces. We thus propose to experimentally apply this bosonic
VQE to the U(1) Higgs model including a topological term,
which in general introduces a sign problem in the model,
making it intractable with conventional Monte Carlo
methods.},
keywords = {cavity: microwaves (INSPIRE) / superconductivity (INSPIRE)
/ hardware (INSPIRE) / Hilbert space (INSPIRE) / gauge field
theory (INSPIRE) / qubit (INSPIRE) / variational (INSPIRE) /
Monte Carlo (INSPIRE) / photon (INSPIRE) / topological
(INSPIRE) / U(1) (INSPIRE) / Higgs model (INSPIRE)},
cin = {$Z_ZPPT$ / ZEU-THEO},
cid = {$I:(DE-H253)Z_ZPPT-20210408$ /
I:(DE-H253)ZEU-THEO-20120731},
pnm = {611 - Fundamental Particles and Forces (POF4-611)},
pid = {G:(DE-HGF)POF4-611},
experiment = {EXP:(DE-MLZ)NOSPEC-20140101},
typ = {PUB:(DE-HGF)25},
eprint = {2108.08248},
howpublished = {arXiv:2108.08248},
archivePrefix = {arXiv},
SLACcitation = {$\%\%CITATION$ = $arXiv:2108.08248;\%\%$},
doi = {10.3204/PUBDB-2022-01005},
url = {https://bib-pubdb1.desy.de/record/474798},
}