We propose a method for the efficient quantum simulation of fermionic systems with superconducting circuits. It consists in the suitable use of Jordan-Wigner mapping, Trotter decomposition, and multiqubit gates, be with the use of a quantum bus or direct capacitive couplings. We apply our method to the paradigmatic cases of 1D and 2D Fermi-Hubbard models, involving couplings with nearest and next-nearest neighbours. Furthermore, we propose an optimal architecture for this model and discuss the benchmarking of the simulations in realistic circuit quantum electrodynamics setups.
@article{arxiv.1411.2465,
title = {Fermionic Models with Superconducting Circuits},
author = {U. Las Heras and L. García-Álvarez and A. Mezzacapo and E. Solano and L. Lamata},
journal= {arXiv preprint arXiv:1411.2465},
year = {2015}
}