Characterizations of symmetric monotone metrics on the state space of quantum systems

Frank Hansen

Characterizations of symmetric monotone metrics on the state space of quantum systems

Frank Hansen

Research output: Contribution to journal › Article › peer-review

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
Externally published	Yes

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

Cite this

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Characterizations of symmetric monotone metrics on the state space of quantum systems

Abstract

Keywords

ASJC Scopus subject areas

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