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Non-Abelian $SU(2)$ Lattice Gauge Theories in Superconducting Circuits
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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.
Forward citations
Cited by 5 Pith papers
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Digital quantum simulations of string dynamics in a (2+1)D U(1) quantum link model on IBM hardware with up to 112 qubits agree with tensor networks at short times and thermal averages at long times.
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Scaling and Luescher Term in a non-Abelian (2+1)d SU$(2)$ Quantum Link Model
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SU(2) non-Abelian gauge field theory in one dimension on digital quantum computers
A new qubit mapping of 1D SU(2) gauge theory removes alignment degrees of freedom analytically, enabling a two-plaquette simulation on IBM quantum hardware.
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