Effective Matrix Model for Gauge Theories at Finite Temperature and Density using Quantum Computing

TL;DR

This paper demonstrates the use of quantum computing, specifically the Variational Quantum Eigensolver, to simulate gauge theories at finite temperature and density, achieving results consistent with classical methods.

Contribution

It introduces a quantum computing approach to simulate gauge theories with fermions, including finite temperature and chemical potential effects, showing promising agreement with classical computations.

Findings

Quantum simulations match classical results for SU(2) and SU(3) gauge theories.

Finite temperature and chemical potential effects are effectively modeled.

Quantum approach offers a new pathway for studying gauge theories.

Abstract

We study the effective matrix model for for gauge fields and fermions on a quantum computer. We use the Variational Quantum Eigensolver (VQE) using IBM QISKit for the effective matrix model for SU(2) and SU(3) including fermions in the fundamental representation. For SU(2) we study the effects of finite temperature and nonzero chemical potential. In all cases we find excellent agreement with the classical computation.