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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Heras, U.L., García-Álvarez, L., Mezzacapo, A., Solano, E., Lamata, L. (2016). Quantum Simulation of Spin Chains Coupled to Bosonic Modes with Superconducting Circuits. In: Anderssen, R., et al. Applications + Practical Conceptualization + Mathematics = fruitful Innovation. Mathematics for Industry, vol 11. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55342-7_8
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