Quantum computation of SU(2) lattice gauge theory with continuous variables
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913905925685248 |
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| author | Ale, Victor Bauer, Nora M. Jha, Raghav G. Ringer, Felix Siopsis, George |
| author_facet | Ale, Victor Bauer, Nora M. Jha, Raghav G. Ringer, Felix Siopsis, George |
| contents | We present a quantum computational framework for SU(2) lattice gauge theory, leveraging continuous variables instead of discrete qubits to represent the infinite-dimensional Hilbert space of the gauge fields. We consider a ladder as well as a two-dimensional grid of plaquettes, detailing the use of gauge fixing to reduce the degrees of freedom and simplify the Hamiltonian. We demonstrate how the system dynamics, ground states, and energy gaps can be computed using the continuous-variable approach to quantum computing. Our results indicate that it is feasible to study non-Abelian gauge theories with continuous variables, providing new avenues for understanding the real-time dynamics of quantum field theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_14580 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum computation of SU(2) lattice gauge theory with continuous variables Ale, Victor Bauer, Nora M. Jha, Raghav G. Ringer, Felix Siopsis, George High Energy Physics - Lattice High Energy Physics - Theory Nuclear Theory Quantum Physics We present a quantum computational framework for SU(2) lattice gauge theory, leveraging continuous variables instead of discrete qubits to represent the infinite-dimensional Hilbert space of the gauge fields. We consider a ladder as well as a two-dimensional grid of plaquettes, detailing the use of gauge fixing to reduce the degrees of freedom and simplify the Hamiltonian. We demonstrate how the system dynamics, ground states, and energy gaps can be computed using the continuous-variable approach to quantum computing. Our results indicate that it is feasible to study non-Abelian gauge theories with continuous variables, providing new avenues for understanding the real-time dynamics of quantum field theories. |
| title | Quantum computation of SU(2) lattice gauge theory with continuous variables |
| topic | High Energy Physics - Lattice High Energy Physics - Theory Nuclear Theory Quantum Physics |
| url | https://arxiv.org/abs/2410.14580 |