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Volumn 59, Issue 1, 2007, Pages 147-159

Uncertainty principle and quantum Fisher information

Author keywords

Monotone metrics; Quantum Fisher information; Uncertainty principle; Wigner Yanase Dyson information

Indexed keywords

NUMERICAL METHODS; QUANTUM THEORY; UNCERTAIN SYSTEMS;

EID: 33847237288     PISSN: 00203157     EISSN: 15729052     Source Type: Journal    
DOI: 10.1007/s10463-006-0103-3     Document Type: Article
Times cited : (39)

References (20)
  • 1
    • 0000086953 scopus 로고
    • Measurement of quantum mechanical operators
    • Araki, H., Yanase, M.M. (1960). Measurement of quantum mechanical operators. Physical Review, 120(2), 622-626.
    • (1960) Physical Review , vol.120 , Issue.2 , pp. 622-626
    • Araki, H.1    Yanase, M.M.2
  • 3
    • 0242473141 scopus 로고    scopus 로고
    • Wigner-Yanase information on quantum state space: The geometric approach
    • Gibilisco, P., Isola, T. (2003). Wigner-Yanase information on quantum state space: the geometric approach. Journal of Mathematical Physics, 44(9), 3752-3762.
    • (2003) Journal of Mathematical Physics , vol.44 , Issue.9 , pp. 3752-3762
    • Gibilisco, P.1    Isola, T.2
  • 5
    • 17044394722 scopus 로고    scopus 로고
    • On the monotonicity of scalar curvature in classical and quantum information geometry
    • Gibilisco, P., Isola, T. (2005). On the monotonicity of scalar curvature in classical and quantum information geometry. Journal of Mathematical Physics, 46(2), 023501-14.
    • (2005) Journal of Mathematical Physics , vol.46 , Issue.2 , pp. 023501-023514
    • Gibilisco, P.1    Isola, T.2
  • 7
    • 0012458021 scopus 로고    scopus 로고
    • Non-commutative extension of the information geometry II
    • O. Hirota et al, Eds, New York: Plenum
    • Hasegawa, H., Petz, D. (1997). Non-commutative extension of the information geometry II. In: O. Hirota et al. (Eds.), Quantum Communications, Computing and Measurement (pp. 109-118). New York: Plenum.
    • (1997) Quantum Communications, Computing and Measurement , pp. 109-118
    • Hasegawa, H.1    Petz, D.2
  • 10
    • 27144481445 scopus 로고
    • Interpolation theory and the Wigner-Yanase-Dyson-Lieb concavity
    • Kosaki, H. (1982). Interpolation theory and the Wigner-Yanase-Dyson-Lieb concavity. Communications in Mathematical Physics, 87, 315-329.
    • (1982) Communications in Mathematical Physics , vol.87 , pp. 315-329
    • Kosaki, H.1
  • 11
    • 21644450302 scopus 로고    scopus 로고
    • Matrix trace inequalities related to uncertainty principle
    • Kosaki, H. (2005). Matrix trace inequalities related to uncertainty principle. International Journal of Mathematics, 6, 629-645.
    • (2005) International Journal of Mathematics , vol.6 , pp. 629-645
    • Kosaki, H.1
  • 13
    • 3543025170 scopus 로고    scopus 로고
    • An informational characterization of Schrödinger's uncertainty relations
    • Luo, S., Zhang, Z. (2004). An informational characterization of Schrödinger's uncertainty relations. Journal of Statistical Physics, 114(5-6), 1557-1576.
    • (2004) Journal of Statistical Physics , vol.114 , Issue.5-6 , pp. 1557-1576
    • Luo, S.1    Zhang, Z.2
  • 14
    • 4243911882 scopus 로고    scopus 로고
    • Conservation laws, uncertainty relations and quantum limits of measurement
    • Ozawa, M. (2002). Conservation laws, uncertainty relations and quantum limits of measurement. Physical Review Letters, 88(5), 050402-4.
    • (2002) Physical Review Letters , vol.88 , Issue.5 , pp. 050402-050404
    • Ozawa, M.1
  • 15
    • 0030501619 scopus 로고    scopus 로고
    • Monotone metrics on matrix spaces
    • Petz, D., (1996). Monotone metrics on matrix spaces, Linear Algebra and Applications, 244, 81-96.
    • (1996) Linear Algebra and Applications , vol.244 , pp. 81-96
    • Petz, D.1
  • 17
    • 33847233882 scopus 로고    scopus 로고
    • Schrödinger, E. (1930). About Heisenberg uncertainty relation (original annotation by A. Angelow and M.C. Batoni), Bulgarian Journal of Physics, 26(5-6), 193-203 (2000), 1999.
    • Schrödinger, E. (1930). About Heisenberg uncertainty relation (original annotation by A. Angelow and M.C. Batoni), Bulgarian Journal of Physics, 26(5-6), 193-203 (2000), 1999.
  • 18
    • 33847214494 scopus 로고    scopus 로고
    • Translation of Proceedings Prussian Academy of Sciences, Physical and Mathematical Section, 19 (1930), 296-303.
    • Translation of Proceedings Prussian Academy of Sciences, Physical and Mathematical Section, 19 (1930), 296-303.
  • 19
    • 34250932377 scopus 로고
    • Die Messung quantenmechanischer Operatoren
    • Wigner, E. P. (1952). Die Messung quantenmechanischer Operatoren. Zeitschrift fur Physics, 133, 101-108.
    • (1952) Zeitschrift fur Physics , vol.133 , pp. 101-108
    • Wigner, E.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.