We propose a non-linear, hybrid quantum-classical scheme for simulating non-equilibrium dynamics of strongly correlated fermions described by the Hubbard model in a Bethe lattice in the thermodynamic limit. Our scheme implements non-equilibrium dynamical mean field theory (DMFT) and uses a digital quantum simulator to solve a quantum impurity problem whose parameters are iterated to self-consistency via a classically computed feedback loop where quantum gate errors can be partly accounted for. We analyse the performance of the scheme in an example case.
@article{arxiv.1510.05703,
title = {Non-linear quantum-classical scheme to simulate non-equilibrium strongly correlated fermionic many-body dynamics},
author = {J. M. Kreula and S. R. Clark and D. Jaksch},
journal= {arXiv preprint arXiv:1510.05703},
year = {2016}
}