Let M-n = M-n(C) be the space of n x n complex matrices endowed with the Hilbert-Schmidt scalar product, let S-n be the unit sphere of M-n and let D-n subset of M-n be the space of strictly positive density matrices. We show that the scalar product over D-n introduced by Gibilisco and Isola(3) (that is the scalar product induced by the map D-n There Exists rho --> rootrho is an element of S-n) coincides with the Wigner-Yanase monotone metric.

Gibilisco P., I.T. (2001). A characterisation of Wigner-Yanase skew information among statistically monotone metrics. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 4(4), 553-557 [10.1142/S0219025701000644].

A characterisation of Wigner-Yanase skew information among statistically monotone metrics

GIBILISCO, PAOLO;Isola T.
2001

Abstract

Let M-n = M-n(C) be the space of n x n complex matrices endowed with the Hilbert-Schmidt scalar product, let S-n be the unit sphere of M-n and let D-n subset of M-n be the space of strictly positive density matrices. We show that the scalar product over D-n introduced by Gibilisco and Isola(3) (that is the scalar product induced by the map D-n There Exists rho --> rootrho is an element of S-n) coincides with the Wigner-Yanase monotone metric.
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/06 - Probabilita' e Statistica Matematica
English
Con Impact Factor ISI
Fisher-Rao metric; Monotone metrics; Wigner-Yanase information
Gibilisco P., I.T. (2001). A characterisation of Wigner-Yanase skew information among statistically monotone metrics. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 4(4), 553-557 [10.1142/S0219025701000644].
Gibilisco, P; Isola, T
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/49735
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