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.
@article{arxiv.2106.02196,
title = {Effective Matrix Model for Gauge Theories at Finite Temperature and Density using Quantum Computing},
author = {Yuan Feng and Michael McGuigan},
journal= {arXiv preprint arXiv:2106.02196},
year = {2021}
}