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arXiv · 1505.04720

Non-Abelian $SU(2)$ Lattice Gauge Theories in Superconducting Circuits

A. Mezzacapo·E. Rico·C. Sabín·I. L. Egusquiza·L. Lamata·E. Solano
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Abstract

We propose a digital quantum simulator of non-Abelian pure-gauge models with a superconducting circuit setup. Within the framework of quantum link models, we build a minimal instance of a pure $SU(2)$ gauge theory, using triangular plaquettes involving geometric frustration. This realization is the least demanding, in terms of quantum simulation resources, of a non-Abelian gauge dynamics. We present two superconducting architectures that can host the quantum simulation, estimating the requirements needed to run possible experiments. The proposal establishes a path to the experimental simulation of non-Abelian physics with solid-state quantum platforms.

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A. Mezzacapo, E. Rico, C. Sabín, I. L. Egusquiza, L. Lamata, E. Solano. 2015-12-11. Non-Abelian $SU(2)$ Lattice Gauge Theories in Superconducting Circuits. https://doi.org/10.1103/physrevlett.115.240502

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