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.

Details

Title
Real-time simulation of (2+1)-dimensional lattice gauge theory on qubits
Author
Yamamoto, Arata 1 

1  Department of Physics, The University of Tokyo, Tokyo 113-0031, Japan 
Publication year
2021
Publication date
Jan 2021
Publisher
Oxford University Press
e-ISSN
20503911
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1093/ptep/ptaa171
ProQuest document ID
3171487960
Copyright
© The Author(s) 2020. Published by Oxford University Press on behalf of the Physical Society of Japan. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.