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

Infinite Dimensional Analysis, Quantum Probability and Related Topics

Volumn 4, Issue 4, 2001, Pages 553-557

  Gibilisco, Paolo ^a,b   Isola, Tommaso ^a  

^a UNIVERSITY OF ROME TOR VERGATA   (Italy)

^b UNIVERSITY OF CHIETI   (Italy)

Author keywords

Fisher Rao metric; Monotone metrics; Wigner Yanase information

Indexed keywords

EID: 0035562586     PISSN: 02190257     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219025701000644     Document Type: Article

References (11)

1. M. Berger and B. Gostiaux, Differential Geometry: Manifolds, Curves, and Surfaces (Springer, 1988).
2. J. Dittmann, Yang-Mills equation and Bures metric, Lett. Math. Phys. 46 (1998) 281-287.
3. p-spaces, Infinite Dimensional Anal. Quantum Probab. Related Topics 2 (1999) 169-178.
4. 2-spaces, in Disordered and Complex Systems, eds. A. C. Coolen, L. Hughston, P. Sollich and R. F. Streater (AIP, 2001), pp. 129-140.
5. H. Hasegawa and D. Petz, On the Riemannian metric of α-entropies of density matrices, Lett. Math. Phys. 38 (1996) 221-225.
6. H. Hasegawa and D. Petz, Noncommutative extension of information geometry, II, in Quantum Communication, Computing and Measurement, eds. O. Hirota et al. (Plenum Press, 1997), pp. 109-118.
7. A. Lesniewski and M. B. Ruskai, Monotone Riemannian metrics and relative entropy on noncommutative probability spaces, J. Math. Phys. 40 (1999) 5702-5724.
8. G. K. Pedersen, Operator differentiate functions, Publ. Res. Inst. Math. Sci. 36 (2000) 139-157.
9. D. Petz, Monotone metrics on matrix spaces, Linear Algebra Appl. 244 (1996) 81-96.
10. D. Petz and C. Sudár, Geometries of quantum states, J. Math. Phys. 37 (1996) 2662-2673.
11. R. F. Streater, The information manifold for relatively bounded potentials, Proc. V. A. Steklov Institute Math. 228 (2000) 205-223.