Simulating $\mathbb{Z}_2$ Lattice Gauge Theory with the Variational Quantum Thermalizer
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866916906481483776 |
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| author | Fromm, Michael Philipsen, Owe Spannowsky, Michael Winterowd, Christopher |
| author_facet | Fromm, Michael Philipsen, Owe Spannowsky, Michael Winterowd, Christopher |
| contents | The properties of strongly-coupled lattice gauge theories at finite density as well as in real time have largely eluded first-principles studies on the lattice. This is due to the failure of importance sampling for systems with a complex action. An alternative to evade the sign problem is quantum simulation. Although still in its infancy, a lot of progress has been made in devising algorithms to address these problems. In particular, recent efforts have addressed the question of how to produce thermal Gibbs states on a quantum computer. In this study, we apply a variational quantum algorithm to a low-dimensional model which has a local abelian gauge symmetry. We demonstrate how this approach can be applied to obtain information regarding the phase diagram as well as unequal-time correlation functions at non-zero temperature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_06057 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Simulating $\mathbb{Z}_2$ Lattice Gauge Theory with the Variational Quantum Thermalizer Fromm, Michael Philipsen, Owe Spannowsky, Michael Winterowd, Christopher High Energy Physics - Lattice Quantum Physics The properties of strongly-coupled lattice gauge theories at finite density as well as in real time have largely eluded first-principles studies on the lattice. This is due to the failure of importance sampling for systems with a complex action. An alternative to evade the sign problem is quantum simulation. Although still in its infancy, a lot of progress has been made in devising algorithms to address these problems. In particular, recent efforts have addressed the question of how to produce thermal Gibbs states on a quantum computer. In this study, we apply a variational quantum algorithm to a low-dimensional model which has a local abelian gauge symmetry. We demonstrate how this approach can be applied to obtain information regarding the phase diagram as well as unequal-time correlation functions at non-zero temperature. |
| title | Simulating $\mathbb{Z}_2$ Lattice Gauge Theory with the Variational Quantum Thermalizer |
| topic | High Energy Physics - Lattice Quantum Physics |
| url | https://arxiv.org/abs/2306.06057 |