Abstract
The quantum Fisher information is a Riemannian metric, defined on the state space of a quantum system, which is symmetric and decreasing under stochastic mappings. Contrary to the classical case such a metric is not unique. We complete the characterization, initiated by Morozova, Chentsov and Petz, of these metrics by providing a closed and tractable formula for the set of Morozova-Chentsov functions. In addition, we provide a continuously increasing bridge between the smallest and largest symmetric monotone metrics.
| Original language | English |
|---|---|
| Pages (from-to) | 597-605 |
| Number of pages | 9 |
| Journal | Quantum Information and Computation |
| Volume | 6 |
| Issue number | 7 |
| Publication status | Published - 2006 Nov 1 |
Keywords
- Monotone metrics
- Quantum fisher information
ASJC Scopus subject areas
- Theoretical Computer Science
- Statistical and Nonlinear Physics
- Nuclear and High Energy Physics
- Mathematical Physics
- Physics and Astronomy(all)
- Computational Theory and Mathematics
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Cite this
Hansen, F. (2006). Characterizations of symmetric monotone metrics on the state space of quantum systems. Quantum Information and Computation, 6(7), 597-605.