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Volumn 6, Issue 7, 2006, Pages 597-605

Characterizations of symmetric monotone metrics on the state space of quantum systems

Author keywords

Monotone metrics; Quantum fisher information

Indexed keywords

FISHER INFORMATION MATRIX; QUANTUM OPTICS; STOCHASTIC SYSTEMS;

EID: 33748055212     PISSN: 15337146     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (16)

References (14)
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    • Aronszajn, N.1    Donoghue, W.2
  • 3
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    • On the curvature of monotone metrics and a conjecture concerning the Kubo-Mori metric
    • J. Dittmann. On the curvature of monotone metrics and a conjecture concerning the Kubo-Mori metric. Linear Algebra Appl. 315:83-112, 2000.
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    • Wigner-Yanase information on quantum state space: The geometric approach
    • P. Gibilisco. Wigner-Yanase information on quantum state space: the geometric approach. J. Math. Phys., 44:3752-3762, 2003.
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    • Gibilisco, P.1
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    • Selfadjoint means and operator monotone functions
    • F. Hansen. Selfadjoint means and operator monotone functions. Math. Ann., 256:29-35, 1981.
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    • Hansen, F.1
  • 7
    • 0003316037 scopus 로고
    • Jensen's inequality for operators and Löwner's theorem
    • F. Hansen and G.K. Pedersen. Jensen's inequality for operators and Löwner's theorem. Math. Ann., 258:229-241, 1982.
    • (1982) Math. Ann , vol.258 , pp. 229-241
    • Hansen, F.1    Pedersen, G.K.2
  • 8
    • 0012458021 scopus 로고    scopus 로고
    • Non-commutative extension of the information geometry II
    • O. Hirota, editor, Plenum, New York
    • H. Hasegawa and D. Petz. Non-commutative extension of the information geometry II. In O. Hirota, editor, Quantum Communication and Measurement, pages 109-118. Plenum, New York, 1997.
    • (1997) Quantum Communication and Measurement , pp. 109-118
    • Hasegawa, H.1    Petz, D.2
  • 9
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    • Means of positive linear operators
    • F. Kubo and T. Ando. Means of positive linear operators. Math. Ann., 246:205-224, 1980.
    • (1980) Math. Ann , vol.246 , pp. 205-224
    • Kubo, F.1    Ando, T.2
  • 10
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    • Über monotone Matrixfunktionen
    • K. Löwner. Über monotone Matrixfunktionen. Math. Z., 38:177-216, 1934.
    • (1934) Math. Z , vol.38 , pp. 177-216
    • Löwner, K.1
  • 11
    • 33846232567 scopus 로고    scopus 로고
    • E.A. Morozova and N.N. Chentsov. Markov invariant geometry on state manifolds (Russian). Itogi Nauki i Techniki, 36:69-102, 1990. Translated in J. Soviet Math. 56:2648-2669, 1991.
    • E.A. Morozova and N.N. Chentsov. Markov invariant geometry on state manifolds (Russian). Itogi Nauki i Techniki, 36:69-102, 1990. Translated in J. Soviet Math. 56:2648-2669, 1991.
  • 12
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    • Geometry of canonical correlation on the state space of a quantum system
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    • Petz, D.1
  • 13
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    • Monotone metrics on matrix spaces
    • D. Petz. Monotone metrics on matrix spaces. Linear Algebra Appl., 244:81-96, 1996.
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    • Petz, D.1
  • 14
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    • Geometries of quantum states
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    • Petz, D.1    Sudár, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.