We study a proof-of-principle example of the recently proposed hybrid quantum-classical simulation of strongly correlated fermion models in the thermodynamic limit. In a "two-site" dynamical mean-field theory (DMFT) approach we reduce the Hubbard model to an effective impurity model subject to self-consistency conditions. The resulting minimal two-site representation of the non-linear hybrid setup involves four qubits implementing the impurity problem, plus an ancilla qubit on which all measurements are performed. We outline a possible implementation with superconducting circuits feasible with near-future technology.
@article{arxiv.1606.04839,
title = {Few-qubit quantum-classical simulation of strongly correlated lattice fermions},
author = {Juha M Kreula and Laura García-Álvarez and Lucas Lamata and Stephen R Clark and Enrique Solano and Dieter Jaksch},
journal= {arXiv preprint arXiv:1606.04839},
year = {2016}
}