Operational Meaning of Classical Fidelity and Path Length in Kubo–Mori–Bogoliubov Fisher Geometry
We show that the minimum entropy production in near-reversible quantum state transport along a path is a simple function of the path length measured according to the Fisher–KMB metrics. Hence, for the sharp values of path lengths, also called statistical lengths, we obtain the operational meaning to...
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MDPI AG
2025-01-01
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| Series: | Entropy |
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| author | Lajos Diósi |
| author_facet | Lajos Diósi |
| author_sort | Lajos Diósi |
| collection | DOAJ |
| description | We show that the minimum entropy production in near-reversible quantum state transport along a path is a simple function of the path length measured according to the Fisher–KMB metrics. Hence, for the sharp values of path lengths, also called statistical lengths, we obtain the operational meaning to quantify the residual irreversibility in near-reversible state transport. In the classical limit, the Bhattacharyya fidelity is found to have a sharp operational meaning after eighty years. |
| format | Article |
| id | doaj-art-c02262dda58c43f984f55c9127ff42e9 |
| institution | Kabale University |
| issn | 1099-4300 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj-art-c02262dda58c43f984f55c9127ff42e92025-01-24T13:31:47ZengMDPI AGEntropy1099-43002025-01-012714210.3390/e27010042Operational Meaning of Classical Fidelity and Path Length in Kubo–Mori–Bogoliubov Fisher GeometryLajos Diósi0Wigner Research Center for Physics, P.O. Box 49, H-1525 Budapest 114, HungaryWe show that the minimum entropy production in near-reversible quantum state transport along a path is a simple function of the path length measured according to the Fisher–KMB metrics. Hence, for the sharp values of path lengths, also called statistical lengths, we obtain the operational meaning to quantify the residual irreversibility in near-reversible state transport. In the classical limit, the Bhattacharyya fidelity is found to have a sharp operational meaning after eighty years.https://www.mdpi.com/1099-4300/27/1/42Bhattacharyya coefficientfidelityFisher–Bures metricquantum state transportentropy production |
| spellingShingle | Lajos Diósi Operational Meaning of Classical Fidelity and Path Length in Kubo–Mori–Bogoliubov Fisher Geometry Entropy Bhattacharyya coefficient fidelity Fisher–Bures metric quantum state transport entropy production |
| title | Operational Meaning of Classical Fidelity and Path Length in Kubo–Mori–Bogoliubov Fisher Geometry |
| title_full | Operational Meaning of Classical Fidelity and Path Length in Kubo–Mori–Bogoliubov Fisher Geometry |
| title_fullStr | Operational Meaning of Classical Fidelity and Path Length in Kubo–Mori–Bogoliubov Fisher Geometry |
| title_full_unstemmed | Operational Meaning of Classical Fidelity and Path Length in Kubo–Mori–Bogoliubov Fisher Geometry |
| title_short | Operational Meaning of Classical Fidelity and Path Length in Kubo–Mori–Bogoliubov Fisher Geometry |
| title_sort | operational meaning of classical fidelity and path length in kubo mori bogoliubov fisher geometry |
| topic | Bhattacharyya coefficient fidelity Fisher–Bures metric quantum state transport entropy production |
| url | https://www.mdpi.com/1099-4300/27/1/42 |
| work_keys_str_mv | AT lajosdiosi operationalmeaningofclassicalfidelityandpathlengthinkubomoribogoliubovfishergeometry |