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Digital quantum simulation of a (1+1)D SU(2) lattice gauge theory with ion qudits

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arxiv 2402.07987 v3 pith:SZGVE7TU submitted 2024-02-12 quant-ph hep-lat

Digital quantum simulation of a (1+1)D SU(2) lattice gauge theory with ion qudits

Giuseppe Calaj\`o , Giuseppe Magnifico , Claire Edmunds , Martin Ringbauer , Simone Montangero , Pietro Silvi This is my paper
classification quant-ph hep-lat
keywords quantumgaugesimulationdigitallatticemodelnon-abelianqudit
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present a quantum simulation strategy for a (1+1)D SU(2) non-abelian lattice gauge theory with dynamical matter, a hardcore-gluon Hamiltonian Yang-Mills, tailored to a six-level trapped-ion qudit quantum processor, as recently experimentally realized. We employ a qudit encoding fulfilling gauge invariance, an SU(2) Gauss law. We discuss the experimental feasibility of generalized M\"olmer-S\"orensen gates used to efficiently simulate the dynamics. We illustrate how a shallow circuit with these resources is sufficient to implement scalable digital quantum simulation of the model. We also numerically show that this model, albeit simple, can dynamically manifest physically-relevant properties specific to non-abelian field theories, such as baryon excitations.

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Cited by 4 Pith papers

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