Fermionic Models with Superconducting Circuits

TL;DR

This paper introduces a method for simulating fermionic systems using superconducting circuits, employing Jordan-Wigner mapping, Trotter decomposition, and multiqubit gates, applicable to 1D and 2D Fermi-Hubbard models.

Contribution

It presents a novel approach combining existing techniques for efficient fermionic simulation on superconducting circuits, including an optimal architecture and benchmarking strategies.

Findings

Successful application to 1D and 2D Fermi-Hubbard models

Proposed architecture for realistic circuit QED setups

Benchmarking strategies for simulation accuracy

Abstract

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.