Statistical model with measurement degree of freedom and quantum physics

Asymptotic Theory of Quantum Statistical Inference: Selected Papers

Volumn , Issue , 2005, Pages 162-169

  Hayashi, Masahito ^a   Matsumoto, Keiji ^a,b  

^a UNIVERSITY OF TOKYO   (Japan)

^b NATIONAL INSTITUTE OF INFORMATICS   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84967546674     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/9789812563071_0014     Document Type: Chapter

References (9)

1. M. Hayashi, "A linear programming approach to attainable Cramér-Rao type bound," in Quantum Communication, Computing, and Measurement, O. Hirota, A.S. Holevo, and C.M. Caves, eds., Plenum Publishing, New York, 1997. (Chap. 12 of this book)
2. C.W. Helstrom, Quantum detection and estimation theory, Academic Press, New York, 1976.
3. A.S. Holevo, Probabilistic and statistical aspects of quantum theory, North- Holland, Amsterdam, 1982 (in Russian, 1980).
4. E.L. Lehmann, Theory of point estimation, John Wiley, 1983.
5. K. Matsumoto, A geometrical approach to quantum estimation theory, doctoral thesis, Graduate School of Mathematical Sciences, University of Tokyo, 1997. (Chap. 20 of this book)
6. H. Nagaoka, "On the parameter estimation problem for quantum statistical models," In Proceeding of 12th Symposium on Information Theory and Its Applications, p. 577-582 (1989). (Chap. 10 of this book)
7. H. Nagaoka, "On the relation between Kullback divergence and Fisher information - from classical systems to quantum systems -," Proceedings of Joint Mini-workshop for data compression theory and fundamental open problems in information theory, 63-72, (1992), (in Japanese). (Chap. 27 of this book)
8. M. Ozawa, "Quantum measuring processes of continuous observables," J. Math. Phys., 25, 79-87 (1984).
9. W.F. Steinspring, "Positive functions on C*-algebras," Proc. Am. Math. Soc., 6, 211-216 (1955).