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Volumn 38, Issue 2, 1996, Pages 221-225

On the Riemannian Metric of α-Entropies of Density Matrices

Author keywords

Density matrices; Riemannian metrics; Statistical mechanics

Indexed keywords


EID: 0009130255     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00398324     Document Type: Article
Times cited : (71)

References (21)
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    • Hasegawa, H.: α-divergence of the non-commutative information geometry, Rep. Math. Phys. 33 (1993), 87-93.
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  • 7
    • 0345834084 scopus 로고    scopus 로고
    • Curvature in the geometry of canonical correlation
    • Hiai, F., Petz, D. and Toth, G.: Curvature in the geometry of canonical correlation, to be published in Studia Sci. Math.
    • Studia Sci. Math.
    • Hiai, F.1    Petz, D.2    Toth, G.3
  • 9
    • 36649022319 scopus 로고
    • Convex trace functions and the Wigner-Yanase-Dyson conjecture
    • Lieb, E. H.: Convex trace functions and the Wigner-Yanase-Dyson conjecture, Adv. in Math. 11 (1973), 267-288.
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    • Lieb, E.H.1
  • 10
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    • A new approach to Cramér-Rao bounds for quantum state estimation
    • Nagaoka, H.: A new approach to Cramér-Rao bounds for quantum state estimation, IEICE Technical Report, 89 (1989), No. 228, IT89-42, 9-14.
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    • Geometry of canonical correlation on the state space of a quantum system
    • Petz, D.: Geometry of canonical correlation on the state space of a quantum system, J. Math. Phys. 35 (1994), 780-795.
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    • Petz, D.1
  • 14
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    • Monotone metrics on matrix spaces
    • Petz, D.: Monotone metrics on matrix spaces, to appear in Linear Algebra Appl.
    • Linear Algebra Appl.
    • Petz, D.1
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    • The Bogoliubov inner product in quantum statistics
    • Petz, D. and Toth, G.: The Bogoliubov inner product in quantum statistics, Lett. Math. Phys. 27 (1993), 205-216.
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    • Petz, D.1    Toth, G.2
  • 17
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    • Sudár, Cs.1
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    • The metric Bures and the geometric phase
    • R. Gielerak et al. (ed.), Kluwer Acad. Publ., Dordrecht
    • Uhlmann, A.: The metric Bures and the geometric phase, in R. Gielerak et al. (ed.), Groups and Related Topics, Kluwer Acad. Publ., Dordrecht, 1992, pp. 267-274.
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    • Uhlmann, A.1
  • 19
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    • Yuen, H.P.H.1    Lax, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.