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We propose an ansatz quantum circuit for the variational quantum eigensolver(VQE), suitable for exploring the phase structure of the multi-flavor Schwingermodel in the presence of a chemical potential. Our ansatz is capable ofincorporating relevant model symmetries via constrains on the parameters, andcan be implemented on circuit-based as well as measurement-based quantumdevices. We show via classical simulation of the VQE that our ansatz is able tocapture the phase structure of the model, and can approximate the ground stateto a high level of accuracy. Moreover, we perform proof-of-principlesimulations on superconducting, gate-based quantum hardware. Our results showthat our approach is suitable for current gate-based quantum devices, and canbe readily implemented on measurement-based quantum devices once available.

Studying the phase diagram of the three-flavor Schwinger model in the  presence of a chemical potential with measurement- and gate-based quantum  computing