  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.
