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Volumn 434, Issue 1, 2011, Pages 224-231

A characterization of extended monotone metrics

Author keywords

Fisher metric; Monotone metric; Operator monotone function; Quantum information geometry

Indexed keywords

A-MONOTONE; CAMPBELL; CLASSICAL INFORMATION; FINITE DIMENSIONAL; FISHER METRIC; GEOMETRICAL ASPECTS; HERMITIAN MATRICES; MONOTONE FUNCTIONS; MONOTONE METRIC; QUANTUM INFORMATION; QUANTUM STATE; STATISTICAL ESTIMATION;

EID: 78049433035     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2010.08.019     Document Type: Article
Times cited : (14)

References (10)
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    • S. Amari Differential geometry of curved exponential families - curvature and information loss Ann. Statist. 10 1982 357 385
    • (1982) Ann. Statist. , vol.10 , pp. 357-385
    • Amari, S.1
  • 2
    • 69649096126 scopus 로고
    • Theory of information spaces - A geometrical foundation of statistics
    • S. Amari, Theory of information spaces - a geometrical foundation of statistics, POST RAAG Report 106 (1980).
    • (1980) POST RAAG Report , vol.106
    • Amari, S.1
  • 5
    • 84968505420 scopus 로고
    • An extended Cencov characterization of the information metric
    • L.L. Campbell An extended Cencov characterization of the information metric Proc. Amer. Math. Soc. 98 1986 135 141
    • (1986) Proc. Amer. Math. Soc. , vol.98 , pp. 135-141
    • Campbell, L.L.1
  • 7
    • 0003316037 scopus 로고
    • Jensen's inequality for operators and Löwner's theorem
    • F. Hansen, and G.K. Pederson Jensen's inequality for operators and Löwner's theorem Math. Ann. 258 1982 229 241
    • (1982) Math. Ann. , vol.258 , pp. 229-241
    • Hansen, F.1    Pederson, G.K.2
  • 8
    • 0002486043 scopus 로고
    • Markov invariant geometry on state manifolds
    • E.A. Morozova, and N.N. Chentsov Markov invariant geometry on state manifolds Itogi Nauki i Tekhniki 36 1990 69 102 (in Russian)
    • (1990) Itogi Nauki i Tekhniki , vol.36 , pp. 69-102
    • Morozova, E.A.1    Chentsov, N.N.2
  • 9
    • 0042383302 scopus 로고    scopus 로고
    • Covariance and Fisher information in quantum geometry
    • D. Petz Covariance and Fisher information in quantum geometry J. Phys. A Math. Gen. 35 2003 79 91
    • (2003) J. Phys. A Math. Gen. , vol.35 , pp. 79-91
    • Petz, D.1
  • 10
    • 0030501619 scopus 로고    scopus 로고
    • Monotone metrics on matrix spaces
    • D. Petz Monotone metrics on matrix spaces Linear Algebra Appl. 244 1996 81 96
    • (1996) Linear Algebra Appl. , vol.244 , pp. 81-96
    • Petz, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.