Real-time 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 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.