Abstract

We propose the implementation of a digital quantum simulation of spin chains coupled to bosonic field modes in superconducting circuits . Gates with high fidelities allow one to simulate a variety of Ising magnetic pairing interactions with transverse field, Tavis-Cummings interaction between spins and a bosonic mode, and a spin model with three-body terms. We analyze the feasibility of the implementation in realistic circuit quantum electrodynamics setups, where the interactions are either realized via capacitive couplings or mediated by microwave resonators.

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