Quantum Simulation of the Gross-Neveu Model

We discuss the use of quantum simulation to study a two-flavor theory of interacting relativistic fermions in (1+1) dimensions on noisy intermediate-scale quantum (NISQ) era machines. We report on the scaling of the Trotter evolution circuit and compare results obtained from different quantum processing units where different error mitigation techniques are applied. We discuss improved techniques of variational quantum eigensolver to prepare the ground state and discuss the implementation of the ground state with the current NISQ era machines. We also probe the phase diagram of the two-flavor Gross-Neveu model using finite size results for a lattice chain of finite length.