Asymptotic estimation theory for a finite-dimensional pure state model

Journal of Physics A: Mathematical and General

Volumn 31, Issue 20, 1998, Pages 4633-4655

  Hayashi, Masahito ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032557370     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/31/20/006     Document Type: Article

References (30)

1. Helstrom C W 1976 Quantum Detection and Estimation Theory (New York: Academic)
2. Holevo A S 1982 Probabilistic and Statistical Aspects of Quantum Theory (Amsterdam: North-Holland)
3. Yuen H P and Lax M 1973 IEEE Trans. 19 740
4. Holevo A S 1977 Rep. Math. Phys. 12 251
5. Jones K R W 1994 Phys. Rev. A 50 3682
6. Jones K R W 1991 J. Phys. A: Math. Gen. 24 121
7. D'Ariano G M 1997 Homodyning as universal detection Quantum Communication, Computing, and Measurement ed O Hirota et al (New York: Plenum) p 253 D'Ariano G M 1997 LANL e-print quant-ph/9701011
8. D'Ariano G M 1997 Homodyning as universal detection Quantum Communication, Computing, and Measurement ed O Hirota et al (New York: Plenum) p 253 D'Ariano G M 1997 LANL e-print quant-ph/9701011
9. D'Ariano G M and Yuen H P 1996 Phys. Rev. Lett. 76 2832
10. Bužek V, Adam G and Drobný G 1996 Phys. Rev. A 54 804
11. Massar S and Popescu S 1995 Phys. Rev. Lett. 74 1259
12. Nagaoka H 1992 On the relation between Kullback divergence and Fisher information - from classical systems to quantum systems Proc. Society Information Theory and its Applications in Japan (in Japanese) pp 63-72 Nagaoka H 1994 Two quantum analogues of the large deviation Cramér-Rao inequality Proc. 1994 IEEE Int. Symp. on Information Theory p 118
13. Nagaoka H 1992 On the relation between Kullback divergence and Fisher information - from classical systems to quantum systems Proc. Society Information Theory and its Applications in Japan (in Japanese) pp 63-72 Nagaoka H 1994 Two quantum analogues of the large deviation Cramér-Rao inequality Proc. 1994 IEEE Int. Symp. on Information Theory p 118
14. Fujiwara A 1994 METR 94-09, 94-10 University of Tokyo
15. Fujiwara A and Nagaoka H 1995 Phys. Lett. A 13 199
16. Fujiwara A and Nagaoka H 1996 Coherency in view of quantum estimation theory Quantum Coherence and Decoherence ed K Fujikawa and Y A Ono (Amsterdam: Elsevier) p 303
17. Matsumoto K 1997 A Geometrical approach to quantum estimation theory Doctoral Thesis Graduate School of Mathematical Sciences, University of Tokyo Matsumoto K 1996 METR 96-09 University of Tokyo Matsumoto K 1997 LANL e-print quant-ph/9711008
18. Matsumoto K 1997 A Geometrical approach to quantum estimation theory Doctoral Thesis Graduate School of Mathematical Sciences, University of Tokyo Matsumoto K 1996 METR 96-09 University of Tokyo Matsumoto K 1997 LANL e-print quant-ph/9711008
19. Matsumoto K 1997 A Geometrical approach to quantum estimation theory Doctoral Thesis Graduate School of Mathematical Sciences, University of Tokyo Matsumoto K 1996 METR 96-09 University of Tokyo Matsumoto K 1997 LANL e-print quant-ph/9711008
20. Nagaoka H 1991 Trans. Jap. Soc. Ind. App. Math. 4 305 (in Japanese)
21. Hayashi M 1997 A linear programming approach to attainable Cramér-rao type bound Quantum Communication, Computing, and Measurement ed O Hirota et al (New York: Plenum) p 99
22. Hayashi M 1997 Kyoto-Math 97-08 (Kyoto University) Hayashi M 1997 LANL e-print quant-ph/9704044
23. Hayashi M 1997 Kyoto-Math 97-08 (Kyoto University) Hayashi M 1997 LANL e-print quant-ph/9704044
24. Hayashi M 1997 LANL e-print quant-ph/9710040
25. Bures D 1969 Trans. Am. Math. Soc. 135 199
26. Griffiths P and Harris J 1978 Principle of Algebraic Geometry (New York: Wiley)
27. Jozsa R 1994 J. Mod. Opt. 41 2315
28. Bahadur R, Zabell S and Gupta J 1980 Large deviations, tests, and estimates Asymptotic Theory of Statistical Tests and Estimation ed I M Chatcravarti (New York: Academic) p 33
29. Fu J C 1973 Ann. Stat. 1 745 Fu J C 1982 Ann. Stat. 10 762
30. Fu J C 1973 Ann. Stat. 1 745 Fu J C 1982 Ann. Stat. 10 762