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Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations

Operational meaning of the classical fidelity and the path length in Fisher-Kubo-Mori-Bogoliubov geometry

arXiv
Authors: Lajos Diósi

Year

2024

Paper ID

38451

Status

Preprint

Abstract Read

~2 min

Abstract Words

66

Citations

N/A

Abstract

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.

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  • 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...

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