Realtime simulation of (2+1)dimensional lattice gauge theory on qubits
Abstract
We study the quantum simulation of Z2 lattice gauge theory in 2+1 dimensions. The dual variable formulation, the socalled 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 realtime evolution of the system with two static electric charges, i.e., with two temporal Wilson lines. Some results obtained by the simulator (with no hardware noise) and the real device (with sizable hardware noise) of a quantum computer are shown.
 Publication:

arXiv eprints
 Pub Date:
 August 2020
 arXiv:
 arXiv:2008.11395
 Bibcode:
 2020arXiv200811395Y
 Keywords:

 High Energy Physics  Lattice;
 Quantum Physics
 EPrint:
 PTEP 2021 (2021) 013B06