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2009 Fiscal Year Final Research Report

Statistical inference and entanglement in complex quantum systems

Research Project

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Project/Area Number 18079014
Research Category

Grant-in-Aid for Scientific Research on Priority Areas

Allocation TypeSingle-year Grants
Review Section Science and Engineering
Research InstitutionNational Institute of Informatics

Principal Investigator

MATSUMOTO Keiji  National Institute of Informatics, 情報学プリンシプル研究系, 准教授 (60272390)

Co-Investigator(Kenkyū-buntansha) HAYASHI Masahito  東北大学, 大学院・情報科学研究科, 准教授 (40342836)
NEMOTO Kae  国立情報学研究所, 情報学プリンシプル研究系, 准教授 (80370104)
Research Collaborator ITO Tsuyoshi  国立情報学研究所, 情報学プリンシプル研究系, 特任研究員
IMAI Hitodhi  国立情報学研究所, 情報学プリンシプル研究系, 特任研究員
Project Period (FY) 2006 – 2009
Keywords量子統計推測 / 漸近理論 / 非局所性 / 通信路
Research Abstract

Our topic is quantum statistical inference, which is statistical inference of quantum mechanical systems. We focused on statistical inference of correlated quantum systems and quantum channels, which are relatively new area. We successfully showed optimal measurements in variety of cases, and built some general theory. Also, we studied various properties of quantum correlation and quantum channels, and deepened the fundamental of quantum statistical inference.

  • Research Products

    (15 results)

All 2010 2009 2008 2007 2006 Other

All Journal Article (11 results) Presentation (4 results)

  • [Journal Article] On monotone 'metrics' of the classical channel space:non-asymptotic theory2010

    • Author(s)
      K. Matsumoto
    • Journal Title

      3543v2

  • [Journal Article] Universal approximation of multi-copy states and universal quantum lossless data compression2010

    • Author(s)
      M. Hayashi
    • Journal Title

      Communications in Mathematical Physics 293,Number1

      Pages: 171-183

  • [Journal Article] Universal coding for classical-quantum channel2009

    • Author(s)
      M. Hayashi
    • Journal Title

      Communications in Mathematical Physics 289

      Pages: 1087-1098

  • [Journal Article] Fourier Analytic Approach to Phase Estimation in Quantum Systems2009

    • Author(s)
      H. Imai, M. Hayashi
    • Journal Title

      New Journal of Physics 11

      Pages: 043034

  • [Journal Article] Group theoretical study of LOCC-detection of maximally entangled state using hypothesis testing2009

    • Author(s)
      M. Hayashi
    • Journal Title

      New Journal of Physics 11

      Pages: 043028

  • [Journal Article] The geometric measure of entanglement for a symmetric pure state with positive amplitudes2009

    • Author(s)
      M. Hayashi, D. Markham, M. Murao, M. Owari, S. Virmani
    • Journal Title

      ournal of Mathematical Physics 50

      Pages: 122104

  • [Journal Article] Asymptotic performance of optimal state estimation in qubit system2008

    • Author(s)
      M. Hayashi, K. Matsumoto
    • Journal Title

      Journal of Mathematical Physics 49

      Pages: 102101

  • [Journal Article] Properties of Conjugate Channels with Applications to Additivity and Multiplicativity2007

    • Author(s)
      C. King, K. Matsumoto, M. Nathanson, M.B. Ruskai
    • Journal Title

      Markov Process and Related Fields 13

      Pages: 391-423

  • [Journal Article] Optimal cloning of mixed Gaussian states2006

    • Author(s)
      M. Guta, K. Matsumoto
    • Journal Title

      Physical Review A 74

      Pages: 032305

  • [Journal Article] Hypothesis testing for an entangled state produced by spontaneous parametric down conversion2006

    • Author(s)
      M. Hayashi, B. -S. Shi, A. Tomita, K. Matsumoto, Y. Tsuda, Y. -K. Jiang
    • Journal Title

      Physical Review A 74

      Pages: 062321

  • [Journal Article] n the first order asymptotic theory of quantum estimation

    • Author(s)
      K. Matsumoto
    • Journal Title

      The Communication in Statistics 4759v1

  • [Presentation] Quantum Statistical State Estimation and Quantum Cramer-Rao Bound2010

    • Author(s)
      M. Hayashi
    • Organizer
      International Conference on Frontiers of Interface between Statistics and Sciences
    • Place of Presentation
      Hyderabad, India
    • Year and Date
      20101230-20100102
  • [Presentation] Quantum Universal Coding Protocols and Universal approximation of multi-copy states2009

    • Author(s)
      M. Hayashi
    • Organizer
      nternationalConference on Quantum Information and Technology
    • Place of Presentation
      National Institute of Informatics, Tokyo, Japan
    • Year and Date
      20091202-20091205
  • [Presentation] Generalized Tsirelson Inequalities, Commuting-Operator Provers, and Multi-prover Interactive Proof Systems2007

    • Author(s)
      T. Ito, H. Kobayashi, D. Preda, X. Sun, A.C. Yao
    • Organizer
      The Eleventh Workshop on Quantum Information Processing
    • Place of Presentation
      New Delhi
    • Year and Date
      20071217-20071221
  • [Presentation] Self-teleportation and its application on LOCC estimation and other tasks2007

    • Author(s)
      K. Matsumoto
    • Organizer
      he Eleventh Workshop on Quantum Information Processing
    • Place of Presentation
      New Delhi
    • Year and Date
      20071217-20071221

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Published: 2011-06-18   Modified: 2016-04-21  

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