Entropy Functionals of Kolmogorov-Sinai Type and Their Limit Theorems

Letters in Mathematical Physics

Volumn 36, Issue 3, 1996, Pages 327-335

  Muraki, Naohumi ^a   Ohya, Masanori ^b  

^a YAMAGUCHI UNIVERSITY   (Japan)

^b TOKYO UNIVERSITY OF SCIENCE   (Japan)

Author keywords

Entropy functionals; Kolmogorov sinai theorem; Quantum information theory

Indexed keywords

EID: 0040137463     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00943285     Document Type: Article

References (12)

1. Accardi, L. and Ohya, M., Compound channels, transition expectations and liftings, to appear in J. Multivariate Anal.
2. Araki, H., Relative entropy of states of von Neumann algebras, Publ. RIMS, Kyoto Univ. 11, 809-833 (1976).
3. Billingsley, P., Ergodic Theory and Information, Wiley, New York, 1965.
4. Connes, A., Narnhofer, H., and Thirring, W., Dynamical entropy of C* algebras and von Neumann algebras, Comm. Math. Phys. 112, 691-719 (1987).
5. Muraki, N., Ohya, M., and Petz, D., Entropies of general quantum states, Open Systems Inform. Dynam. 1(1), 43-56 (1992).
6. Ohya, M., Some aspects of quantum information theory and their applications to irreversible processes, Rep. Math. Phys. 27, 19-47 (1989).
7. Ohya, M., On compound state and mutual information in quantum information theory, IEEE Trans. Inform. Theory 29, 770-774 (1983).
8. Ohya, M., Note on quantum probability, Lett. Nuovo Cim. 38, 402-406 (1983).
9. Ohya, M. and Petz, D., Quantum Entropy and its Use, Springer, New York, 1993.
10. Uhlmann, A., Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory, Comm. Math. Phys. 54, 21-32 (1977).
11. Umegaki, H., Conditional expectation in an operator algebra IV (entropy and information), Kôdai Math. Sem. Rep. 14, 59-85 (1962).
12. Ohya, M., State change, complexity and fractal in quantum systems, to appear in Quantum Communications and Measurement, Plenum, New York.