Duality in quantum information geometry

Open Systems and Information Dynamics

Volumn 11, Issue 1, 2004, Pages 71-77

  Streater, R F ^a  

^a KING'S COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4043073455     PISSN: 12301612     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:OPSY.0000024757.25401.db     Document Type: Article

References (13)

1. S.-I. Amari and H. Nagaoka, Methods of Information Geometry, Amer. Math. Soc. Providence RI, translated from the 1993 Japanese by D. Harada.
2. H. Araki, Publ. Res. Inst. Math. Sci., Kyoto University 9, No. 1, 1973.
3. p-spaces, Infin. Dimens. Anal. Quantum Prob. Relat. Topics 2, 169 (1999).
4. P. Gibilisco and G. Pistone, Connections on non-parametric statistical manifolds by Orlicz geometry, Infin. Dimens. Anal. Quantum Probab. Related Topics 1, 325 (1998).
5. M. R. Grasselli, Classical and Quantum Information Geometry, Ph. D. thesis, King's College London, 2001.
6. M. R. Grasselli and R. F. Streater, The quantum information manifold for epsilon-bounded forms, Rep. Math. Phys. 46, 325 (2000).
7. F. Hiai, M. Ohya, and M. Tsukuda, Sufficiency, KMS condition and relative entropy in von Neumann algebras, Pacific J. Math. 96, 99 (1981).
8. M. Ohya and D. Petz, Quantum Entropy and its Use, Springer-Verlag, 1993.
9. A. Pietsch, Nuclear Locally Convex Spaces, Springer-Verlag, 1972.
10. R. F. Streater, The information manifold for relatively bounded potentials, Trudy Mat. Inst. Steklova 228, 217 (2000), in English. Also in the English ed. Proc Steklov Inst. Maths. 228, 205 (2000).
11. R. F. Streater, The information manifold for relatively bounded potentials, Trudy Mat. Inst. Steklova 228, 217 (2000), in English. Also in the English ed. Proc Steklov Inst. Maths. 228, 205 (2000).
12. R. F. Streater, The analytic quantum information manifold, in: Stochastic Processes, physics and geometry: new interplays, eds. F. Gesztesy et al., Canadian Math. Soc. Conference Proc 29, 603 (2000).
13. R. F. Streater, Quantum Orlicz Spaces, to appear.