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., Isola, 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.
2001-01-01
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.| File | Dimensione | Formato | |
|---|---|---|---|
|
IDAQP2001.pdf
accesso aperto
Dimensione
186.13 kB
Formato
Adobe PDF
|
186.13 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
