Thermal state preparation of the SYK model using a variational quantum algorithm
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866914979759783936 |
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| author | Araz, Jack Y. Jha, Raghav G. Ringer, Felix Sambasivam, Bharath |
| author_facet | Araz, Jack Y. Jha, Raghav G. Ringer, Felix Sambasivam, Bharath |
| contents | We study the preparation of thermal states of the dense and sparse Sachdev-Ye-Kitaev (SYK) model using a variational quantum algorithm for $6 \le N \le 12$ Majorana fermions over a wide range of temperatures. Utilizing IBM's 127-qubit quantum processor, we perform benchmark computations for the dense SYK model with $N = 6$, showing good agreement with exact results. The preparation of thermal states of a non-local random Hamiltonian with all-to-all coupling using the simulator and quantum hardware represents a significant step toward future computations of thermal out-of-time order correlators in quantum many-body systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_15545 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Thermal state preparation of the SYK model using a variational quantum algorithm Araz, Jack Y. Jha, Raghav G. Ringer, Felix Sambasivam, Bharath Quantum Physics High Energy Physics - Lattice High Energy Physics - Theory We study the preparation of thermal states of the dense and sparse Sachdev-Ye-Kitaev (SYK) model using a variational quantum algorithm for $6 \le N \le 12$ Majorana fermions over a wide range of temperatures. Utilizing IBM's 127-qubit quantum processor, we perform benchmark computations for the dense SYK model with $N = 6$, showing good agreement with exact results. The preparation of thermal states of a non-local random Hamiltonian with all-to-all coupling using the simulator and quantum hardware represents a significant step toward future computations of thermal out-of-time order correlators in quantum many-body systems. |
| title | Thermal state preparation of the SYK model using a variational quantum algorithm |
| topic | Quantum Physics High Energy Physics - Lattice High Energy Physics - Theory |
| url | https://arxiv.org/abs/2406.15545 |