  We propose a variational quantum eigensolver suitable for exploring the phase
structure of the multi-flavor Schwinger model in the presence of a chemical
potential. The parametric ansatz circuit we design is capable of incorporating
the symmetries of the model, present in certain parameter regimes, which allows
for reducing the number of variational parameters substantially. Moreover, the
ansatz circuit can be implementated on both measurement-based and circuit-based
quantum hardware. We numerically demonstrate that our ansatz circuit is able to
capture the phase structure of the model and allows for faithfully
approximating the ground state. Our results show that our approach is suitable
for current intermediate-scale quantum hardware and can be readily implemented
on existing quantum devices.
