메뉴 건너뛰기




Volumn 9, Issue 1-2, 2009, Pages 103-130

Sub- and super-fidelity as bounds for quantum fidelity

Author keywords

Bures distance; Distances in state space; Quantum fidelity; Quantum states

Indexed keywords

BURES DISTANCE; CONCAVE FUNCTION; DISTANCE IN STATE SPACE; QUANTUM FIDELITY; QUANTUM STATE; QUANTUM SYSTEM; SIMPLE++; STATE-SPACE; TWO-DIMENSIONAL; TWO-STATE;

EID: 56849129362     PISSN: 15337146     EISSN: None     Source Type: Journal    
DOI: 10.26421/qic9.1-2-7     Document Type: Article
Times cited : (148)

References (43)
  • 3
    • 85167063427 scopus 로고    scopus 로고
    • A. Uhlmann, Conference Probability and Operator Algebras with Applications in Mathematical Physics, Erdö Research Center, 2000 (unpublished).
    • A. Uhlmann, Conference "Probability and Operator Algebras with Applications in Mathematical Physics", Erdö Research Center, 2000 (unpublished).
  • 4
    • 0001606571 scopus 로고
    • The metric of Bures and the geometric phase
    • ed. R. Gierelak et al, Kluver, Dodrecht
    • A. Uhlmann, The metric of Bures and the geometric phase, in Groups and related Topics, ed. R. Gierelak et al., Kluver, Dodrecht, 1992.
    • (1992) Groups and related Topics
    • Uhlmann, A.1
  • 5
    • 0033177340 scopus 로고    scopus 로고
    • The scalar curvature of the Bures metric on the space of density matrices
    • J. Dittmann, The scalar curvature of the Bures metric on the space of density matrices, J. Geom. Phys. 31, 16-24 (1999).
    • (1999) J. Geom. Phys , vol.31 , pp. 16-24
    • Dittmann, J.1
  • 6
    • 0036577976 scopus 로고    scopus 로고
    • Alternative fidelity measure between two states of an N -state quantum system
    • J.-L. Chen, L. Fu, A.A. Ungar, and X.-G. Zhao, Alternative fidelity measure between two states of an N -state quantum system, Phys. Rev. A 65, 054304 (2002).
    • (2002) Phys. Rev. A , vol.65 , pp. 054304
    • Chen, J.-L.1    Fu, L.2    Ungar, A.A.3    Zhao, X.-G.4
  • 10
    • 51249180584 scopus 로고
    • A remark on transition probability
    • H. Araki and G. Raggio: A remark on transition probability, Lett. Math. Phys. 6, 237-240 (1982).
    • (1982) Lett. Math. Phys , vol.6 , pp. 237-240
    • Araki, H.1    Raggio, G.2
  • 11
    • 0002369286 scopus 로고
    • A note on the transition probability over C*-algebras
    • P. M. Alberti, A note on the transition probability over C*-algebras, Lett. Math. Phys. 7, 25-32 (1983).
    • (1983) Lett. Math. Phys , vol.7 , pp. 25-32
    • Alberti, P.M.1
  • 12
    • 0011446860 scopus 로고
    • Stochastic Linear Maps and Transition Probability
    • P. M. Alberti and A. Uhlmann, Stochastic Linear Maps and Transition Probability, Lett. Math. Phys 7, 107-112 (1983).
    • (1983) Lett. Math. Phys , vol.7 , pp. 107-112
    • Alberti, P.M.1    Uhlmann, A.2
  • 14
    • 0000301279 scopus 로고
    • Explicit computation of the Bures distance for density matrices
    • M. Hübner, Explicit computation of the Bures distance for density matrices, Phys. Lett. A 163, 239 (1992).
    • (1992) Phys. Lett. A , vol.163 , pp. 239
    • Hübner, M.1
  • 16
    • 0346359091 scopus 로고
    • On Matrix Trace Inequalities and Related Topics for Products of Hermitian Matrices
    • I. D. Coope, On Matrix Trace Inequalities and Related Topics for Products of Hermitian Matrices J. Math. Analysis and Applications 188, 3 (1994), pp. 999-1001.
    • (1994) J. Math. Analysis and Applications , vol.188 , Issue.3 , pp. 999-1001
    • Coope, I.D.1
  • 29
    • 44349193688 scopus 로고    scopus 로고
    • Can measuring entanglement be easy?
    • arXiv:quant-ph/0606017
    • S. J. van Enk, Can measuring entanglement be easy?, arXiv:quant-ph/0606017.
    • van Enk, S.J.1
  • 32
    • 0000519707 scopus 로고
    • Statistical distance and the geometry of quantum states
    • S. L. Braunstein and C. M. Caves, Statistical distance and the geometry of quantum states, Phys. Rev. Lett. 72, 3439 (1994).
    • (1994) Phys. Rev. Lett , vol.72 , pp. 3439
    • Braunstein, S.L.1    Caves, C.M.2
  • 33
    • 0030544975 scopus 로고    scopus 로고
    • Geometries of quantum states
    • D. Petz and C. Sudár, Geometries of quantum states, J. Math. Phys. 37, 2662 (1996).
    • (1996) J. Math. Phys , vol.37 , pp. 2662
    • Petz, D.1    Sudár, C.2
  • 34
    • 0035979978 scopus 로고    scopus 로고
    • Monge metric on the sphere and geometry of quantum states
    • K. Życzkowski and W. Słomczyński, Monge metric on the sphere and geometry of quantum states, J. Phys. A 34, 6689 (2001)
    • (2001) J. Phys. A , vol.34 , pp. 6689
    • Życzkowski, K.1    Słomczyński, W.2
  • 35
    • 33747792951 scopus 로고
    • An extension of Kakutani theorem on infinite product measures to the tensor of semifinite W*-algebras
    • D.J.C. Bures, An extension of Kakutani theorem on infinite product measures to the tensor of semifinite W*-algebras, Trans. Am. Math. Soc. 135, 199 (1969).
    • (1969) Trans. Am. Math. Soc , vol.135 , pp. 199
    • Bures, D.J.C.1
  • 36
    • 0037975326 scopus 로고
    • Geometric phases and related structures
    • A. Uhlmann, Geometric phases and related structures, Rep. Math. Phys. 36, 461 (1995).
    • (1995) Rep. Math. Phys , vol.36 , pp. 461
    • Uhlmann, A.1
  • 37
    • 0030501619 scopus 로고    scopus 로고
    • Monotone metrics on matrix spaces
    • D. Petz, Monotone metrics on matrix spaces, Linnear Algebra Appl. 244, 81 (1996).
    • (1996) Linnear Algebra Appl , vol.244 , pp. 81
    • Petz, D.1
  • 38
    • 26944470302 scopus 로고    scopus 로고
    • Distance measures to compare real and ideal quantum processes
    • A. Gilchrist, N. K. Langford, M. A. Nielsen, Distance measures to compare real and ideal quantum processes Phys. Rev. A 71 062310 (2005).
    • (2005) Phys. Rev. A , vol.71 , pp. 062310
    • Gilchrist, A.1    Langford, N.K.2    Nielsen, M.A.3
  • 39
    • 0032667067 scopus 로고    scopus 로고
    • Cryptographic distinguishability measures for quantum-mechanical states
    • C. A. Fuchs and J. van de Graaf, Cryptographic distinguishability measures for quantum-mechanical states, IEEE Trans. Inf. Theor. 45, 1216-1227 (1999).
    • (1999) IEEE Trans. Inf. Theor , vol.45 , pp. 1216-1227
    • Fuchs, C.A.1    van de Graaf, J.2
  • 40
  • 41
    • 0005540273 scopus 로고
    • Inequalities for symmetric functions and Hermitian matrices
    • M. Marcus and L. Lopes, Inequalities for symmetric functions and Hermitian matrices, Canad. J. Math. 8, pp. 524-531 (1956).
    • (1956) Canad. J. Math , vol.8 , pp. 524-531
    • Marcus, M.1    Lopes, L.2
  • 43
    • 85166999939 scopus 로고    scopus 로고
    • P. E. M. F. Mendonca, R. d. J. Napolitano, M. A. Marchiolli, C. J. Foster, and Y.-C. Liang, An alternative fidelity measure for quantum states, arXiv:0806.1150
    • P. E. M. F. Mendonca, R. d. J. Napolitano, M. A. Marchiolli, C. J. Foster, and Y.-C. Liang, An alternative fidelity measure for quantum states, arXiv:0806.1150


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.