메뉴 건너뛰기




Volumn 102, Issue 5-6, 2001, Pages 1417-1428

Fisher information matrix of Husimi distribution

Author keywords

Canonical commutation relation; Fisher information; Fock Bargmann representation; Husimi distribution; Uncertainty principle

Indexed keywords


EID: 0035534232     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1004856832310     Document Type: Article
Times cited : (9)

References (14)
  • 1
    • 0001777754 scopus 로고
    • Information geometry
    • H. Nencka and J. P. Bourguignon, eds. American Mathematical Society, Providence
    • 1. S. Amari, Information geometry, in Geometry and Nature, H. Nencka and J. P. Bourguignon, eds. (American Mathematical Society, Providence, 1994). pp. 81-95.
    • (1994) Geometry and Nature , pp. 81-95
    • Amari, S.1
  • 2
    • 84980077803 scopus 로고
    • On a Hilbert space of holomorphic functions and an associated integral transform
    • 2. V. Bargmann. On a Hilbert space of holomorphic functions and an associated integral transform. Commun. Pure Appl. Math. 14:187-214 (1961).
    • (1961) Commun. Pure Appl. Math. , vol.14 , pp. 187-214
    • Bargmann, V.1
  • 3
    • 33749166144 scopus 로고
    • Quantum and other physics as system theory
    • 3. E. R. Caianielle. Quantum and other physics as system theory. La Rivista del Nuovo Cimento 15:1-65 (1992).
    • (1992) La Rivista del Nuovo Cimento , vol.15 , pp. 1-65
    • Caianielle, E.R.1
  • 4
    • 0000458474 scopus 로고
    • Some integral identities and inequalities for entire functions and their applications to coherent state transform
    • 4. E. Carlen. Some integral identities and inequalities for entire functions and their applications to coherent state transform. J. Funct. Anal. 97:231-249 (1991).
    • (1991) J. Funct. Anal. , vol.97 , pp. 231-249
    • Carlen, E.1
  • 5
    • 0000273265 scopus 로고
    • Superadditivity of Fisher's information and logarithmic Sobolev inequalities
    • 5. E. Carlen, Superadditivity of Fisher's information and logarithmic Sobolev inequalities. J. Funct. Anal. 101:194-211 (1991).
    • (1991) J. Funct. Anal. , vol.101 , pp. 194-211
    • Carlen, E.1
  • 6
    • 84939431353 scopus 로고
    • Theory of statistical estimation
    • 6. R. A. Fisher, Theory of statistical estimation. Proc. Camb. Phil. Soc. 22:700-725 (1925).
    • (1925) Proc. Camb. Phil. Soc. , vol.22 , pp. 700-725
    • Fisher, R.A.1
  • 8
    • 0001429116 scopus 로고
    • Logarithmic Sobolev inequality
    • 8. L. Gross, Logarithmic Sobolev inequality, Amer. J. Math. 97:1061-1083 (1975).
    • (1975) Amer. J. Math. , vol.97 , pp. 1061-1083
    • Gross, L.1
  • 9
  • 10
    • 0001381047 scopus 로고
    • Some formal properties of the density matrix
    • 10. K. Husimi, Some formal properties of the density matrix. Proc. Phys. Math. Soc. Japan 22:264-283 (1940).
    • (1940) Proc. Phys. Math. Soc. Japan , vol.22 , pp. 264-283
    • Husimi, K.1
  • 11
    • 11944266539 scopus 로고
    • Information theory and statistical mechanics
    • 11. E. T. Jaynes, Information theory and statistical mechanics, Phys. Rev. 106:620-630 (1957).
    • (1957) Phys. Rev. , vol.106 , pp. 620-630
    • Jaynes, E.T.1
  • 12
    • 4243870641 scopus 로고
    • Theory and applications of the quantum phase-space distribution functions
    • 12. H. W. Lee, Theory and applications of the quantum phase-space distribution functions. Phys. Rep. 259:147-211 (1995).
    • (1995) Phys. Rep. , vol.259 , pp. 147-211
    • Lee, H.W.1
  • 13
    • 0001915002 scopus 로고
    • Information and accuracy attainable in the estimation of statistical parameters
    • 13. C. R. Rao, Information and accuracy attainable in the estimation of statistical parameters. Bull. Calcutta Math. Soc. 37:81-91 (1945).
    • (1945) Bull. Calcutta Math. Soc. , vol.37 , pp. 81-91
    • Rao, C.R.1
  • 14
    • 5444225516 scopus 로고
    • On the relation between classical and quantum entropy
    • 14. A. Wehrl, On the relation between classical and quantum entropy. Rep. Math. Phys. 16:353-358 (1979).
    • (1979) Rep. Math. Phys. , vol.16 , pp. 353-358
    • Wehrl, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.