Operational meaning of the classical fidelity and the path length in Fisher-Kubo-Mori-Bogoliubov geometry
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909450836639744 |
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| author | Diósi, Lajos |
| author_facet | Diósi, Lajos |
| contents | We show that the minimum entropy production in near-reversible quantum state transport along a path is simple function of the path length measured according to the Fisher-KMB metrics. Hence the sharp values of path lengths, also called statistical lengths, obtain operational meaning to quantify the residual irreversibility in near-reversible state transport. In the classical limit, the Bhattacharyya fidelity obtains a sharp operational meaning after eighty years. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_04307 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Operational meaning of the classical fidelity and the path length in Fisher-Kubo-Mori-Bogoliubov geometry Diósi, Lajos Quantum Physics Mathematical Physics We show that the minimum entropy production in near-reversible quantum state transport along a path is simple function of the path length measured according to the Fisher-KMB metrics. Hence the sharp values of path lengths, also called statistical lengths, obtain operational meaning to quantify the residual irreversibility in near-reversible state transport. In the classical limit, the Bhattacharyya fidelity obtains a sharp operational meaning after eighty years. |
| title | Operational meaning of the classical fidelity and the path length in Fisher-Kubo-Mori-Bogoliubov geometry |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2410.04307 |