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Volumn 289, Issue 2, 2009, Pages 597-652

Local asymptotic normality for finite dimensional quantum systems

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EID: 67349153303     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-009-0787-3     Document Type: Article
Times cited : (128)

References (48)
  • 4
    • 0037203440 scopus 로고    scopus 로고
    • Optimal Scheme for Estimating a Pure Qubit State via Local Measurements
    • E. Bagan M. Baig R. Munoz-Tapia 2002 Optimal Scheme for Estimating a Pure Qubit State via Local Measurements Phys. Rev. Lett. 89 277904
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 277904
    • Bagan, E.1    Baig, M.2    Munoz-Tapia, R.3
  • 7
    • 0016545895 scopus 로고
    • Optimal multiple quantum statistical hypothesis testing
    • V.P. Belavkin 1975 Optimal multiple quantum statistical hypothesis testing Stochastics 1 315 345
    • (1975) Stochastics , vol.1 , pp. 315-345
    • Belavkin, V.P.1
  • 8
    • 0344795411 scopus 로고
    • Generalized Heisenberg uncertainty relations, and efficient measurements in quantum systems
    • V.P. Belavkin 1976 Generalized Heisenberg uncertainty relations, and efficient measurements in quantum systems Theor. Math. Phys. 26 213 222
    • (1976) Theor. Math. Phys. , vol.26 , pp. 213-222
    • Belavkin, V.P.1
  • 10
    • 0003864328 scopus 로고
    • New York-Toronto-London: McGraw-Hill
    • Erdélyi, A., Magnus, W., Oberhettinger, F., Tricomi, F.G.: Higher Transcendental Functions. vol. II. New York-Toronto-London: McGraw-Hill, 1953
    • (1953) Higher Transcendental Functions , vol.2
    • Erdélyi, A.1
  • 13
    • 67349209115 scopus 로고    scopus 로고
    • Asymptotic information bounds in quantum statistics
    • Belavin, V.P., Guta, M. (eds.), River Edge, NJ: World Scientific
    • Gill, R.D.: Asymptotic information bounds in quantum statistics. In: Quantum Stochatics and Information: Statstics Filtering and Control, Belavin, V.P., Guta, M. (eds.), River Edge, NJ: World Scientific, 2008
    • (2008) Quantum Stochatics and Information: Statstics Filtering and Control
    • Gill, R.D.1
  • 14
    • 0010692232 scopus 로고    scopus 로고
    • State estimation for large ensembles
    • R.D. Gill S. Massar 2000 State estimation for large ensembles Phys. Rev. A 61 042312
    • (2000) Phys. Rev. A , vol.61 , pp. 042312
    • Gill, R.D.1    Massar, S.2
  • 16
    • 36448995402 scopus 로고    scopus 로고
    • Optimal estimation of qubit states with continuous time measurements
    • M. Guţǎ B. Janssens J. Kahn 2008 Optimal estimation of qubit states with continuous time measurements Commun. Math. Phys. 277 127 160
    • (2008) Commun. Math. Phys. , vol.277 , pp. 127-160
    • Guţǎ, M.1    Janssens, B.2    Kahn, J.3
  • 17
    • 35348858938 scopus 로고    scopus 로고
    • Local asymptotic normality in quantum statistics
    • M. Guţǎ A. Jençová 2007 Local asymptotic normality in quantum statistics Commun. Math. Phys. 276 341 379
    • (2007) Commun. Math. Phys. , vol.276 , pp. 341-379
    • Guţǎ, M.1    Jençová, A.2
  • 19
    • 33646735544 scopus 로고    scopus 로고
    • Local asymptotic normality for qubit states
    • M. Guţǎ J. Kahn 2006 Local asymptotic normality for qubit states Phys. Rev. A 73 052108
    • (2006) Phys. Rev. A , vol.73 , pp. 052108
    • Guţǎ, M.1    Kahn, J.2
  • 22
    • 35348828982 scopus 로고    scopus 로고
    • Quantum estimation and the quantum central limit theorem
    • in Japanese; Translated into English in quant-ph/0608198
    • Hayashi, M.: Quantum estimation and the quantum central limit theorem. Bulletin of the Mathematical Society of Japan 55, 368-391 (2003) (in Japanese; Translated into English in quant-ph/0608198)
    • (2003) Bulletin of the Mathematical Society of Japan , vol.55 , pp. 368-391
    • Hayashi, M.1
  • 24
    • 84892235839 scopus 로고    scopus 로고
    • Springer-Verlag Berlin-Heidelberg
    • Hayashi M.: Quantum Information. Springer-Verlag, Berlin-Heidelberg (2006)
    • (2006) Quantum Information
    • Hayashi, M.1
  • 25
    • 84967546674 scopus 로고    scopus 로고
    • Statistical Model with Measurement Degree of Freedom and Quantum Physics
    • Hayashi, M. ed. River Edge, NJ: World Scientific English translation of a paper in Japanese published in Surikaiseki Kenkyusho Kokyuroku, vol. 35, pp. 7689-7727, 2002
    • Hayashi, M., Matsumoto, K.: Statistical Model with Measurement Degree of Freedom and Quantum Physics. In: Hayashi, M. ed., Asymptotic theory of quantum statistical inference: selected papers, River Edge, NJ: World Scientific, 2005, pp. 162-170 (English translation of a paper in Japanese published in Surikaiseki Kenkyusho Kokyuroku, vol. 35, pp. 7689-7727, 2002)
    • (2005) Asymptotic Theory of Quantum Statistical Inference: Selected Papers , pp. 162-170
    • Hayashi, M.1    Matsumoto, K.2
  • 27
    • 0040221330 scopus 로고
    • Quantum detection and estimation theory
    • C.W. Helstrom 1969 Quantum detection and estimation theory J. Stat. Phys. 1 231 252
    • (1969) J. Stat. Phys. , vol.1 , pp. 231-252
    • Helstrom, C.W.1
  • 30
    • 0035506485 scopus 로고    scopus 로고
    • Estimating the spectrum of a density operator
    • M. Keyl R.F. Werner 2001 Estimating the spectrum of a density operator Phys. Rev. A 64 052311
    • (2001) Phys. Rev. A , vol.64 , pp. 052311
    • Keyl, M.1    Werner, R.F.2
  • 32
    • 0010215008 scopus 로고
    • Optimal extraction of information from finite quantum ensembles
    • S. Massar S. Popescu 1995 Optimal extraction of information from finite quantum ensembles Phys. Rev. Lett. 74 1259 1263
    • (1995) Phys. Rev. Lett. , vol.74 , pp. 1259-1263
    • Massar, S.1    Popescu, S.2
  • 33
    • 67349206786 scopus 로고    scopus 로고
    • Matsumoto, K.: Unpublished manuscript
    • Matsumoto, K.: Unpublished manuscript
  • 35
    • 33745041845 scopus 로고    scopus 로고
    • Quantum State Estimation
    • Paris, M.G.A., Řeháček, J. (eds.) New York: Springer
    • Paris, M.G.A., Řeháček, J. (eds.): Quantum State Estimation, Lecture Notes in Phys. vol. 649, New York: Springer, 2004
    • (2004) Lecture Notes in Phys , vol.649
  • 36
    • 0005156603 scopus 로고
    • Sufficient subalgebras and the relative entropy of states of a von Neumann algebra
    • D. Petz 1986 Sufficient subalgebras and the relative entropy of states of a von Neumann algebra Commun. Math. Phys. 105 123 131
    • (1986) Commun. Math. Phys. , vol.105 , pp. 123-131
    • Petz, D.1
  • 38
    • 32544435921 scopus 로고    scopus 로고
    • Sufficiency in quantum statistical inference
    • DOI 10.1007/s00220-005-1510-7
    • D. Petz A. Jencova 2006 Sufficiency in quantum statistical inference Commun. Math. Phys. 263 259 276 (Pubitemid 43234482)
    • (2006) Communications in Mathematical Physics , vol.263 , Issue.1 , pp. 259-276
    • Jencova, A.1    Petz, D.2
  • 39
    • 0001096907 scopus 로고    scopus 로고
    • Quantum statistics of the squeezed vacuum by measurement of the density matrix in the number state representation
    • S. Schiller G. Breitenbach S.F. Pereira T. Müller J. Mlynek 1996 Quantum statistics of the squeezed vacuum by measurement of the density matrix in the number state representation Phys. Rev. Lett. 77 2933 2936 (Pubitemid 126624175)
    • (1996) Physical Review Letters , vol.77 , Issue.14 , pp. 2933-2936
    • Schiller, S.1    Breitenbach, G.2    Pereira, S.F.3    Muller, T.4    Mlynek, J.5
  • 40
    • 33750560874 scopus 로고    scopus 로고
    • Efficient Quantum-State Estimation by Continuous Weak Measurement and Dynamical Control
    • G.A. Smith A. Silberfarb I.H. Deutsch P.S. Jessen 2006 Efficient Quantum-State Estimation by Continuous Weak Measurement and Dynamical Control Phys. Rev. Lett. 97 180403
    • (2006) Phys. Rev. Lett. , vol.97 , pp. 180403
    • Smith, G.A.1    Silberfarb, A.2    Deutsch, I.H.3    Jessen, P.S.4
  • 47
    • 0016485946 scopus 로고
    • Optimum testing of multiple hypotheses in quantum detection theory
    • H. Yuen R. Kennedy M. Lax 1975 Optimum testing of multiple hypotheses in quantum detection theory IEEE Trans. Inform. Theory 21 125 134
    • (1975) IEEE Trans. Inform. Theory , vol.21 , pp. 125-134
    • Yuen, H.1    Kennedy, R.2    Lax, M.3
  • 48
    • 0015681548 scopus 로고
    • Multiple-parameter quantum estimation and measurement of non-selfadjoint observables
    • H.P. Yuen M. Lax 1973 Multiple-parameter quantum estimation and measurement of non-selfadjoint observables IEEE Trans. Inform. Theory 19 740
    • (1973) IEEE Trans. Inform. Theory , vol.19 , pp. 740
    • Yuen, H.P.1    Lax, M.2


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