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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.14955 |
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| _version_ | 1866913080908185600 |
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| author | Penas, Victor A. Losada, Marcelo Lamberti, Pedro W. |
| author_facet | Penas, Victor A. Losada, Marcelo Lamberti, Pedro W. |
| contents | In this work we apply a procedure based on the quantum imaginary time evolution method to solve the unit-disk maximum independent set problem. Numerical simulations were performed for instances of 6, 8 and 10-qubits graphs. We have found that the failure probability of the procedure is relatively small and rapidly decreases with the number of shots. In addition, a theoretical upper bound for the failure probability of the procedure was obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_14955 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum imaginary time evolution and UD-MIS problem Penas, Victor A. Losada, Marcelo Lamberti, Pedro W. Quantum Physics In this work we apply a procedure based on the quantum imaginary time evolution method to solve the unit-disk maximum independent set problem. Numerical simulations were performed for instances of 6, 8 and 10-qubits graphs. We have found that the failure probability of the procedure is relatively small and rapidly decreases with the number of shots. In addition, a theoretical upper bound for the failure probability of the procedure was obtained. |
| title | Quantum imaginary time evolution and UD-MIS problem |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2410.14955 |