Real-time simulation of (2+1)-dimensional lattice gauge theory on qubits

Abstract We study the quantum simulation of $Z_2$ lattice gauge theory in 2+1 dimensions. The dual variable formulation, the so-called Wegner duality, is utilized for reducing redundant gauge degrees of freedom. The problem of artificial charge unconservation is resolved for any charge distribution....

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Bibliographic Details
Published inProgress of theoretical and experimental physics Vol. 2021; no. 1
Main Author Yamamoto, Arata
Format Journal Article
LanguageEnglish
Published Oxford Oxford University Press 01.01.2021
Subjects
Boundary conditions
Hilbert space
Quantum computing
Quantum field theory
Simulation
B01
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Summary:Abstract We study the quantum simulation of $Z_2$ lattice gauge theory in 2+1 dimensions. The dual variable formulation, the so-called Wegner duality, is utilized for reducing redundant gauge degrees of freedom. The problem of artificial charge unconservation is resolved for any charge distribution. As a demonstration, we simulate the real-time evolution of the system with two static electric charges, i.e. with two temporal Wilson lines. Some results obtained by a simulator (with no hardware noise) and a real quantum computing device (with sizable hardware noise) are shown.
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ISSN:2050-3911
2050-3911
DOI:10.1093/ptep/ptaa171