  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.
