메뉴 건너뛰기




Volumn 34, Issue 3, 2003, Pages 441-468

On a supposed conceptual inadequacy of the Shannon information in quantum mechanics

Author keywords

Brukner; Information measure; Quantum mechanics; Shannon information; von Neumann entropy; Zeilinger's Foundational Principle

Indexed keywords


EID: 0037821796     PISSN: 13552198     EISSN: 18792502     Source Type: Journal    
DOI: 10.1016/S1355-2198(03)00037-6     Document Type: Article
Times cited : (30)

References (36)
  • 1
    • 0004280469 scopus 로고
    • New York, London, Sydney: Interscience Publishers
    • Ash R. Information theory 1965 Interscience Publishers New York, London, Sydney.
    • (1965) Information Theory
    • Ash, R.1
  • 2
    • 9444229257 scopus 로고
    • On the impossible pilot wave
    • Bell J.S. On the impossible pilot wave Foundations of Physics 12 1982 989-999.
    • (1982) Foundations of Physics , vol.12 , pp. 989-999
    • Bell, J.S.1
  • 3
    • 0000261212 scopus 로고    scopus 로고
    • Operationally invariant information in quantum measurements
    • Brukner C. Zeilinger A. Operationally invariant information in quantum measurements Physical Review Letters 83 17 1999 3354.
    • (1999) Physical Review Letters , vol.83 , Issue.17 , pp. 3354
    • Brukner, C.1    Zeilinger, A.2
  • 4
    • 0034668342 scopus 로고    scopus 로고
    • Encoding and decoding in complementary bases with quantum gates
    • Brukner C. Zeilinger A. Encoding and decoding in complementary bases with quantum gates Journal of Modern Optics 47 12 2000 2233-2246.
    • (2000) Journal of Modern Optics , vol.47 , Issue.12 , pp. 2233-2246
    • Brukner, C.1    Zeilinger, A.2
  • 5
    • 33646207027 scopus 로고    scopus 로고
    • Quantum measurement and Shannon information, a reply to M.J.W. Hall
    • arXiv:quant-ph/0008091
    • Brukner, C., & Zeilinger, A. (2000b). Quantum measurement and Shannon information, a reply to M.J.W. Hall. arXiv:quant-ph/0008091.
    • (2000)
    • Brukner, C.1    Zeilinger, A.2
  • 6
    • 4043161821 scopus 로고    scopus 로고
    • Conceptual inadequacy of the Shannon information in quantum measurements
    • Brukner C. Zeilinger A. Conceptual inadequacy of the Shannon information in quantum measurements Physical Review A 63 2001 022113.
    • (2001) Physical Review A , vol.63 , pp. 022113
    • Brukner, C.1    Zeilinger, A.2
  • 10
    • 0000404582 scopus 로고    scopus 로고
    • Quantum information: How much information in a state vector?
    • A. Mann & R. Revzen (Eds.), Jerusalem: Israel Physical Society. arXiv:quant-ph/9601025
    • Caves, C. M., & Fuchs, C. A. (1996). Quantum information: How much information in a state vector? In A. Mann & R. Revzen (Eds.), The dilemma of Einstein, Podolsky & Rosen-60 years later. Jerusalem: Israel Physical Society. arXiv:quant-ph/9601025.
    • (1996) The Dilemma of Einstein, Podolsky & Rosen - 60 Years Later
    • Caves, C.M.1    Fuchs, C.A.2
  • 11
    • 0038599379 scopus 로고
    • H. Grell (Ed.), Berlin: Deutscher Verlag der Wissenchaften
    • Faddeev D.K. Grell H. (Ed.) Arbeiten zum Informationstheorie I 1957 88-91 Deutscher Verlag der Wissenchaften Berlin.
    • (1957) Arbeiten Zum Informationstheorie , vol.1 , pp. 88-91
    • Faddeev, D.K.1
  • 12
    • 0001965116 scopus 로고
    • Description of states in quantum mechanics by density operator techniques
    • Fano U. Description of states in quantum mechanics by density operator techniques Reviews of Modern Physics 29 1 1957 74-93.
    • (1957) Reviews of Modern Physics , vol.29 , Issue.1 , pp. 74-93
    • Fano, U.1
  • 13
    • 0038260606 scopus 로고    scopus 로고
    • Notes on a Paulian idea
    • arXiv:quant-ph/0105039
    • Fuchs, C. A. (2000). Notes on a Paulian idea. arXiv:quant-ph/0105039.
    • (2000)
    • Fuchs, C.A.1
  • 14
    • 0037923112 scopus 로고    scopus 로고
    • Quantum mechanics as quantum information (and only a little more)
    • arXiv:quant-ph/0205039
    • Fuchs, C. A. (2002). Quantum mechanics as quantum information (and only a little more). arXiv:quant-ph/0205039.
    • (2002)
    • Fuchs, C.A.1
  • 15
    • 84857458399 scopus 로고    scopus 로고
    • Comment on 'Conceptual inadequacy of Shannon information⋯'
    • C. Brukner & A. Zeilinger. arXiv:quant-ph/0007116
    • Hall, M. J. W. (2000). Comment on 'Conceptual inadequacy of Shannon information...' by C. Brukner & A. Zeilinger. arXiv:quant-ph/0007116.
    • (2000)
    • Hall, M.J.W.1
  • 17
    • 36149039233 scopus 로고
    • Geometrical description of quantal state determination
    • Ivanovic I.D. Geometrical description of quantal state determination Journal of Physics A 14 1981 3241-3245.
    • (1981) Journal of Physics A , vol.14 , pp. 3241-3245
    • Ivanovic, I.D.1
  • 18
    • 11944266539 scopus 로고
    • Information theory and statistical mechanics
    • Jaynes E.T. Information theory and statistical mechanics Physical Review 106 4 1957 620-630.
    • (1957) Physical Review , vol.106 , Issue.4 , pp. 620-630
    • Jaynes, E.T.1
  • 19
    • 0041867855 scopus 로고
    • Superspace geometry: The exact uncertainty relationship between complementary aspects
    • Larsen U. Superspace geometry: The exact uncertainty relationship between complementary aspects Journal of Physics A 23 1990 1041-1061.
    • (1990) Journal of Physics A , vol.23 , pp. 1041-1061
    • Larsen, U.1
  • 20
    • 0001287029 scopus 로고
    • Generalized entropic uncertainty relations
    • Maassen H. Uffnk J.B.M. Generalized entropic uncertainty relations Physical Review Letters 60 12 1988 1103-1106.
    • (1988) Physical Review Letters , vol.60 , Issue.12 , pp. 1103-1106
    • Maassen, H.1    Uffnk, J.B.M.2
  • 22
    • 0035251119 scopus 로고    scopus 로고
    • Characterizing mixing and measurement in quantum mechanics
    • Nielsen M.A. Characterizing mixing and measurement in quantum mechanics Physical Review A 63 2001 022114.
    • (2001) Physical Review A , vol.63 , pp. 022114
    • Nielsen, M.A.1
  • 23
    • 0035963009 scopus 로고    scopus 로고
    • Separable states are more disordered globally than locally
    • Nielsen M.A. Kempe J. Separable states are more disordered globally than locally Physical Review Letters 86 2001 5184-5187.
    • (2001) Physical Review Letters , vol.86 , pp. 5184-5187
    • Nielsen, M.A.1    Kempe, J.2
  • 25
    • 0036536869 scopus 로고    scopus 로고
    • Invariant information and quantum state estimation
    • Rehacek J. Hradil Z. Invariant information and quantum state estimation Physical Review Letters 88 2002 130401.
    • (2002) Physical Review Letters , vol.88 , pp. 130401
    • Rehacek, J.1    Hradil, Z.2
  • 26
  • 28
    • 84856043672 scopus 로고
    • The mathematical theory of communication
    • 379-423 C.E. Shannon, & W. Weaver (Eds.) (1963), The mathematical theory of communication (pp. 30-125). Urbana and Chicago: University of Illinois Press
    • Shannon, C. E. (1948). The mathematical theory of communication. Bell Systems Technical Journal 27, 379-423, 623-656. In C.E. Shannon, & W. Weaver (Eds.) (1963), The mathematical theory of communication (pp. 30-125). Urbana and Chicago: University of Illinois Press.
    • (1948) Bell Systems Technical Journal , vol.27 , pp. 623-656
    • Shannon, C.E.1
  • 29
    • 84857449937 scopus 로고    scopus 로고
    • Information and the Turing Principle: Some philosophical considerations
    • B.Phil. Thesis, University of Oxford
    • Timpson, C. G. (2000). Information and the Turing Principle: Some philosophical considerations. B.Phil. Thesis, University of Oxford, http://users.ox.ac.uk/~quee0776/thesis.html.
    • (2000)
    • Timpson, C.G.1
  • 30
    • 33646226724 scopus 로고    scopus 로고
    • The applicability of the Shannon information in quantum mechanics and Zeilinger's Foundational Principle
    • PSA 2002 Contributed Papers, PITT-PHIL-SCI-00000710, forthcoming
    • Timpson, C. G. (2002). The applicability of the Shannon information in quantum mechanics and Zeilinger's Foundational Principle. PSA 2002 Contributed Papers, PITT-PHIL-SCI-00000710, forthcoming.
    • (2002)
    • Timpson, C.G.1
  • 31
    • 0011457583 scopus 로고
    • Measures of uncertainty and the uncertainty principle
    • Unpublished Doctoral Dissertation, University of Utrecht
    • Uffink, J. B. M. (1990). Measures of uncertainty and the uncertainty principle. Unpublished Doctoral Dissertation, University of Utrecht.
    • (1990)
    • Uffink, J.B.M.1
  • 32
    • 5844266551 scopus 로고
    • General properties of entropy
    • Wehrl A. General properties of entropy Reviews of Modern Physics 50 2 1978 221-260.
    • (1978) Reviews of Modern Physics , vol.50 , Issue.2 , pp. 221-260
    • Wehrl, A.1
  • 33
    • 0003217172 scopus 로고
    • Information, physics, quantum: The search for links
    • W. Zurek (Ed.), Redwood City, CA: Addison-Wesley
    • Wheeler J.A. Information, physics, quantum: The search for links Zurek W. (Ed.) Complexity, entropy and the physics of information 1990 3-27 Addison-Wesley Redwood City, CA.
    • (1990) Complexity, Entropy and the Physics of Information , pp. 3-27
    • Wheeler, J.A.1
  • 34
    • 0009797974 scopus 로고
    • Density matrices arising from incomplete measurements
    • Wichmann E.H. Density matrices arising from incomplete measurements Journal of Mathematical Physics 4 7 1963 884-896.
    • (1963) Journal of Mathematical Physics , vol.4 , Issue.7 , pp. 884-896
    • Wichmann, E.H.1
  • 35
    • 0004586188 scopus 로고
    • Optimal state-determination by mutually unbiased measurements
    • Wootters W.K. Fields B.D. Optimal state-determination by mutually unbiased measurements Annals of Physics (New York) 191 1989 363.
    • (1989) Annals of Physics (New York) , vol.191 , pp. 363
    • Wootters, W.K.1    Fields, B.D.2
  • 36
    • 0033471490 scopus 로고    scopus 로고
    • A foundational principle for quantum mechanics
    • Zeilinger A. A foundational principle for quantum mechanics Foundations of Physics 29 4 1999 631-643.
    • (1999) Foundations of Physics , vol.29 , Issue.4 , pp. 631-643
    • Zeilinger, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.