Digital quantum simulation of a (1+1)D SU(2) lattice gauge theory with ion qudits
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arXiv
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| Hauptverfasser: | , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866910658649391104 |
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| author | Calajò, Giuseppe Magnifico, Giuseppe Edmunds, Claire Ringbauer, Martin Montangero, Simone Silvi, Pietro |
| author_facet | Calajò, Giuseppe Magnifico, Giuseppe Edmunds, Claire Ringbauer, Martin Montangero, Simone Silvi, Pietro |
| contents | 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 Mölmer-Sörensen 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_07987 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Digital quantum simulation of a (1+1)D SU(2) lattice gauge theory with ion qudits Calajò, Giuseppe Magnifico, Giuseppe Edmunds, Claire Ringbauer, Martin Montangero, Simone Silvi, Pietro Quantum Physics High Energy Physics - Lattice 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 Mölmer-Sörensen 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. |
| title | Digital quantum simulation of a (1+1)D SU(2) lattice gauge theory with ion qudits |
| topic | Quantum Physics High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2402.07987 |