메뉴 건너뛰기




Volumn 41, Issue 25, 2008, Pages

A fibre bundle over manifolds of quantum channels and its application to quantum statistics

Author keywords

[No Author keywords available]

Indexed keywords


EID: 48249140704     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/41/25/255304     Document Type: Article
Times cited : (178)

References (30)
  • 1
    • 84968466834 scopus 로고
    • Positive functions on C*-algebras
    • Stinespring W F 1955 Positive functions on C*-algebras Proc. Am. Math. Soc. 6 211-6
    • (1955) Proc. Am. Math. Soc. , vol.6 , Issue.2 , pp. 211-216
    • Stinespring, W.F.1
  • 2
    • 0001930151 scopus 로고
    • Completely positive maps and entropy inequalities
    • Lindblad G 1975 Completely positive maps and entropy inequalities Commun. Math. Phys. 40 147-51
    • (1975) Commun. Math. Phys. , vol.40 , Issue.2 , pp. 147-151
    • Lindblad, G.1
  • 4
    • 0016522050 scopus 로고
    • Completely positive linear maps on complex mattrices
    • Choi M-D 1975 Completely positive linear maps on complex mattrices Linear Algebra Appl. 10 285-90
    • (1975) Linear Algebra Appl. , vol.10 , Issue.3 , pp. 285-290
    • Choi, M.-D.1
  • 5
    • 0001546521 scopus 로고    scopus 로고
    • One-to-one parametrization of quantum channels
    • Fujiwara A and Algoet P 1999 One-to-one parametrization of quantum channels Phys. Rev. A 59 3290-3294
    • (1999) Phys. Rev. , vol.59 , Issue.5 , pp. 3290-3294
    • Fujiwara, A.1    Algoet, P.2
  • 6
    • 28844496948 scopus 로고    scopus 로고
    • Statistical estimation of a quantum operation
    • Fujiwara A 2004 Statistical estimation of a quantum operation Quantum Information, Statistics, Probability ed O Hirota (Princeton NJ: Rinton Press) pp 78-89
    • (2004) Quantum Information, Statistics, Probability , pp. 78-89
    • Fujiwara, A.1
  • 8
    • 0038926544 scopus 로고
    • Minimum mean-square error of estimates in quantum statistics
    • Helstrom C W 1967 Minimum mean-square error of estimates in quantum statistics Phys. Lett. 25A 101-2
    • (1967) Phys. Lett. , vol.25 , pp. 101-102
    • Helstrom, C.W.1
  • 11
    • 19244366270 scopus 로고    scopus 로고
    • Estimation of a generalized amplitude-damping channel
    • Fujiwara A 2004 Estimation of a generalized amplitude-damping channel Phys. Rev. A 70 012317
    • (2004) Phys. Rev. , vol.70 , Issue.1 , pp. 012317
    • Fujiwara, A.1
  • 12
    • 4243359617 scopus 로고    scopus 로고
    • Quantum channel identification problem
    • Fujiwara A 2001 Quantum channel identification problem Phys. Rev. A 63 042304
    • (2001) Phys. Rev. , vol.63 , Issue.4 , pp. 042304
    • Fujiwara, A.1
  • 13
    • 0041340626 scopus 로고    scopus 로고
    • Quantum parameter estimation of a generalized Pauli channel
    • Fujiwara A and Imai H 2003 Quantum parameter estimation of a generalized Pauli channel J. Phys. A: Math. Gen. 36 8093-103
    • (2003) J. Phys. A: Math. Gen. , vol.36 , Issue.29 , pp. 8093-8103
    • Fujiwara, A.1    Imai, H.2
  • 14
    • 47749135593 scopus 로고    scopus 로고
    • Geometry of optimal estimation scheme for SU(D) channels
    • Imai H and Fujiwara A 2007 Geometry of optimal estimation scheme for SU(D) channels J. Phys. A: Math. Theor. 40 4391-400
    • (2007) J. Phys. A: Math. Theor. , vol.40 , Issue.16 , pp. 4391-4400
    • Imai, H.1    Fujiwara, A.2
  • 15
    • 0008000611 scopus 로고    scopus 로고
    • Geometry of quantum information systems
    • Fujiwara A 1999 Geometry of quantum information systems Geometry in Present Day Sciences ed O E Barndorff-Nielsen and E B V Jensen (Singapore: World Scientific) pp 35-48
    • (1999) Geometry in Present Day Sciences , pp. 35-48
    • Fujiwara, A.1
  • 18
    • 0038562509 scopus 로고
    • Generalized theory of interference, and its applications
    • Pancharatnam S 1956 Generalized theory of interference, and its applications Proc. Indian Acad. Sci. A 44 247-62
    • (1956) Proc. Indian Acad. Sci. , vol.44 , pp. 247-262
    • Pancharatnam, S.1
  • 19
    • 0002207807 scopus 로고
    • Quantal phase factors accompanying adiabatic changes
    • Berry M V 1984 Quantal phase factors accompanying adiabatic changes Proc. R. Soc. A 392 45-57
    • (1984) Proc. R. Soc. , vol.392 , Issue.1802 , pp. 45-57
    • Berry, M.V.1
  • 20
    • 0001345770 scopus 로고
    • Holonomy, the quantum adiabatic theorem, and Berry's phase
    • Simon B 1983 Holonomy, the quantum adiabatic theorem, and Berry's phase Phys. Rev. Lett. 51 2167-70
    • (1983) Phys. Rev. Lett. , vol.51 , Issue.24 , pp. 2167-2170
    • Simon, B.1
  • 21
    • 30244508244 scopus 로고
    • Phase change during a cyclic quantum evolution
    • Aharonov Y and Anandan J 1987 Phase change during a cyclic quantum evolution Phys. Rev. Lett. 58 1593-6
    • (1987) Phys. Rev. Lett. , vol.58 , Issue.16 , pp. 1593-1596
    • Aharonov, Y.1    Anandan, J.2
  • 22
    • 4244096740 scopus 로고
    • General setting for Berry's phase
    • Samuel J and Bhandari R 1988 General setting for Berry's phase Phys. Rev. Lett. 60 2339-42
    • (1988) Phys. Rev. Lett. , vol.60 , Issue.23 , pp. 2339-2342
    • Samuel, J.1    Bhandari, R.2
  • 23
    • 0343012756 scopus 로고
    • Parallel transport and 'Quantum Holonomy' along density operators
    • Uhlmann A 1986 Parallel transport and 'Quantum Holonomy' along density operators Rep. Math. Phys. 24 229-40
    • (1986) Rep. Math. Phys. , vol.24 , Issue.2 , pp. 229-240
    • Uhlmann, A.1
  • 25
    • 0000381412 scopus 로고
    • Density operators as an arena for differential geometry
    • Uhlmann A 1993 Density operators as an arena for differential geometry Rep. Math. Phys. 33 253-63
    • (1993) Rep. Math. Phys. , vol.33 , Issue.1-2 , pp. 253-263
    • Uhlmann, A.1
  • 26
    • 0001285727 scopus 로고
    • Quantum Fisher metric and estimation for pure state models
    • Fujiwara A and Nagaoka H 1995 Quantum Fisher metric and estimation for pure state models Phys. Lett. A 201 119-24
    • (1995) Phys. Lett. , vol.201 , Issue.2-3 , pp. 119-124
    • Fujiwara, A.1    Nagaoka, H.2
  • 27
    • 48249097685 scopus 로고
    • Fujiwara A 1995 A geometrical study in quantum information systems PhD Thesis The University of Tokyo
    • (1995) PhD Thesis
    • Fujiwara, A.1
  • 28
    • 33748982648 scopus 로고    scopus 로고
    • Strong consistency and asymptotic efficiency for adaptive quantum estimation problems
    • Fujiwara A 2006 Strong consistency and asymptotic efficiency for adaptive quantum estimation problems J. Phys. A: Math. Gen. 39 12489-504
    • (2006) J. Phys. A: Math. Gen. , vol.39 , Issue.40 , pp. 12489-12504
    • Fujiwara, A.1
  • 30
    • 33745311968 scopus 로고    scopus 로고
    • Optimal estimation of one parameter quantum channels
    • Sarovar M and Milburn G J 2006 Optimal estimation of one parameter quantum channels J. Phys. A: Math. Gen. 39 8487-505
    • (2006) J. Phys. A: Math. Gen. , vol.39 , Issue.26 , pp. 8487-8505
    • Sarovar, M.1    Milburn, G.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.