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We study a proof-of-principle example of the recently proposed hybridquantum-classical simulation of strongly correlated fermion models in thethermodynamic limit. In a "two-site" dynamical mean-field theory (DMFT)approach we reduce the Hubbard model to an effective impurity model subject toself-consistency conditions. The resulting minimal two-site representation ofthe non-linear hybrid setup involves four qubits implementing the impurityproblem, plus an ancilla qubit on which all measurements are performed. Weoutline a possible implementation with superconducting circuits feasible withnear-future technology.

Few-qubit quantum-classical simulation of strongly correlated lattice fermions