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000474798 0247_ $$2arXiv$$aarXiv:2108.08248
000474798 0247_ $$2datacite_doi$$a10.3204/PUBDB-2022-01005
000474798 037__ $$aPUBDB-2022-01005
000474798 041__ $$aEnglish
000474798 088__ $$2arXiv$$aarXiv:2108.08248
000474798 1001_ $$0Jia.Jia.Zhang.1$$aZhang, Jinglei$$b0$$eCorresponding author
000474798 245__ $$aSimulating gauge theories with variational quantum eigensolvers in superconducting microwave cavities
000474798 260__ $$c2022
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000474798 500__ $$a22 pages, 9 figures
000474798 520__ $$aQuantum-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.
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000474798 650_7 $$2INSPIRE$$agauge field theory
000474798 650_7 $$2INSPIRE$$aqubit
000474798 650_7 $$2INSPIRE$$avariational
000474798 650_7 $$2INSPIRE$$aMonte Carlo
000474798 650_7 $$2INSPIRE$$aphoton
000474798 650_7 $$2INSPIRE$$atopological
000474798 650_7 $$2INSPIRE$$aU(1)
000474798 650_7 $$2INSPIRE$$aHiggs model
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000474798 7001_ $$0R.Ferguson.1$$aFerguson, Ryan$$b1
000474798 7001_ $$aKühn, Stefan$$b2
000474798 7001_ $$0J.F.Haase.1$$aHaase, Jan F.$$b3
000474798 7001_ $$0C.M.Wilson.1$$aWilson, C. M.$$b4
000474798 7001_ $$0P:(DE-H253)PIP1003636$$aJansen, Karl$$b5
000474798 7001_ $$0C.A.Muschik.1$$aMuschik, Christine A.$$b6
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