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2010 Fiscal Year Final Research Report

A study of inequalities in operator theory and quantum information theory

Research Project

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Project/Area Number 20540176
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Basic analysis
Research InstitutionYamaguchi University

Principal Investigator

KURIYAMA Ken  Yamaguchi University, 教育学部, 特別任用教授 (10116717)

Co-Investigator(Kenkyū-buntansha) YANAGI Kenjiro  山口大学, 大学院・理工学研究科, 教授 (90108267)
MATSUNO Yoshimasa  山口大学, 大学院・理工学研究科, 教授 (30190490)
KUTAMI Mamoru  山口大学, 大学院・理工学研究科, 教授 (80034734)
KITAMOTO Takuya  山口大学, 教育学部, 准教授 (30241780)
KASAI Shinichi  山口大学, 教育学部, 准教授 (40224373)
Project Period (FY) 2008 – 2010
Keywords作用素 / 量子情報 / 不等式 / 不確定性関係 / ヒルベルト空間
Research Abstract

Mathematical and information theoretical studies of operators in Hilbert spaces are achieved related to the foundation of quantum mechanics. Especially, trace inequalities of operators which mean uncertainty relations are proved.

  • Research Products

    (32 results)

All 2011 2010 2009 2008 Other

All Journal Article (14 results) (of which Peer Reviewed: 13 results) Presentation (17 results) Remarks (1 results)

  • [Journal Article] Metric adjusted skew information and uncertainty relation2011

    • Author(s)
      kenjiro Yanagi
    • Journal Title

      Journal of Mathematical Analysis and Applications Vol.380

      Pages: 888-892

  • [Journal Article] Uncertainty relation on generalized Wigner-Yanase-Dyson skew Information2010

    • Author(s)
      Kenjiro Yanagi
    • Journal Title

      Linear Algebra and its Applications Vol.433

      Pages: 1524-1532

    • Peer Reviewed
  • [Journal Article] Uncertainty relation on Wigner-Yanase-Dyson skew information2010

    • Author(s)
      Kenjiro Yanagi
    • Journal Title

      Journal of Mathematical Analysis and pplication Vol.365

      Pages: 12-18

    • Peer Reviewed
  • [Journal Article] Trace inequalities for products of matrices2009

    • Author(s)
      Shigeru Furuichi, Ken Kuriyama, Kenjiro Yanagi
    • Journal Title

      Linear Algebra and its Applications Vol.430

      Pages: 2271-2276

    • Peer Reviewed
  • [Journal Article] Trace inequalities on a Generalized Wigner-Yanase skew Information2009

    • Author(s)
      Shigeru Furuichi, Kenjiro Yanagi, Ken Kuriyama
    • Journal Title

      Journal of Mathematical Analysis and Application Vol.356

      Pages: 179-185

    • Peer Reviewed
  • [Journal Article] On an inequality of capacity of MA(1) Gaussian channel with feedback2009

    • Author(s)
      Kenjiro Yanagi, Noriyuki Yamashita
    • Journal Title

      Applied Mathematics and Information Sciences Vol.3

      Pages: 13-23

    • Peer Reviewed
  • [Journal Article] Regular rings satisfying generalized almost comparability2009

    • Author(s)
      Mamoru Kutami
    • Journal Title

      Communications in Algebra Vol.37(5)

      Pages: 1579-1593

    • Peer Reviewed
  • [Journal Article] Periodic solutions of a resistive model for nonlocal Josephson dynamics2009

    • Author(s)
      Yoshimasa Matsuno
    • Journal Title

      Journal of Physics A : Math. Theor. Vol.42

      Pages: 025401(7pp)

    • Peer Reviewed
  • [Journal Article] Extension of the Algorithm to compute H∞ norm of a parametric system2009

    • Author(s)
      Takuya Kitamoto
    • Journal Title

      電子情報通信学会論文誌 E92-A-8

      Pages: 2036-2045

    • Peer Reviewed
  • [Journal Article] Periodic solutions of the short pulse model equation2008

    • Author(s)
      Yoshimasa Matuno
    • Journal Title

      Journal of Mathematical Physics Vol.49

      Pages: 073508(1-18)

    • Peer Reviewed
  • [Journal Article] On computation of a power series root with arbitrary degree of convergence2008

    • Author(s)
      Takuya Kitamoto
    • Journal Title

      日本応用数理学会欧文誌 Vol.25

      Pages: 255-279

    • Peer Reviewed
  • [Journal Article] The optimal H^∞ norm of a parametric system Achievable using output feedback controller2008

    • Author(s)
      Takuya Kitamoto, Tetsu Yamaguchi
    • Journal Title

      電子情報通信学会論文誌 E91-A-7

      Pages: 1713-1724

    • Peer Reviewed
  • [Journal Article] On the check of accuracy of the Coefficients of formal power series2008

    • Author(s)
      Takuya Kitamoto, Tetsu Yamaguchi
    • Journal Title

      電子情報通信学会論文誌 E91-A-8

      Pages: 2101-2110

    • Peer Reviewed
  • [Journal Article] A cubic systolic array and its properties2008

    • Author(s)
      Makio Ishihara, Ken Kuriyama, Minoru Tanaka
    • Journal Title

      International Journal of Computers and Applications Vol.30

      Pages: 173-182

    • Peer Reviewed
  • [Presentation] Wigner-Yanae-Dyson Skew informationの一般化と関連するtrace不等式について2010

    • Author(s)
      柳研二郎,田中義晃
    • Organizer
      京都大学数理解析研究所・研究集会「独立性と従属性の数理」
    • Place of Presentation
      京都大学
    • Year and Date
      2010-12-20
  • [Presentation] 一般化されたskew informationに関する不等式についてII2010

    • Author(s)
      柳研二郎
    • Organizer
      第33回情報理論とその応用シンポジウム(SITA 2010)
    • Place of Presentation
      信州松代ロイヤルホテル(長野市)
    • Year and Date
      2010-12-01
  • [Presentation] Generalized Wigner-Yanase-Dyson skew information And uncertainity relation2010

    • Author(s)
      柳研二郎
    • Organizer
      International Symposium on Information Theory and its Applications(ISITA 2010)
    • Place of Presentation
      Evergreen Laurel Hotel (Taichung,Taiwan)
    • Year and Date
      2010-10-20
  • [Presentation] 一般化Wigner-Yanase-Dyson skew informationと不確定性関係2010

    • Author(s)
      柳研二郎
    • Organizer
      日本数学会函数解析分科会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-09-23
  • [Presentation] Trace inequality on generalized Wigner-Yanase-Dyson skew information2010

    • Author(s)
      柳研二郎
    • Organizer
      The Second Asian Conference on Nonlinear Analysis and Optimazion
    • Place of Presentation
      Royal Paradise Hotel (Pucket,Thailand)
    • Year and Date
      2010-09-11
  • [Presentation] 非線形性を有する空調用熱源プラントの最適運転制御に関する研究(空気調和衛生工学会・学会賞記念講演)2010

    • Author(s)
      山本正幸,栗山憲,中村正弘,松山健
    • Organizer
      空気調和衛生工学会
    • Place of Presentation
      山口大学
    • Year and Date
      2010-09-01
  • [Presentation] Wigner-Yanase-Dyson skew informationと不確定性関係2010

    • Author(s)
      柳研二郎
    • Organizer
      日本数学会函数解析分科会
    • Place of Presentation
      慶応大学
    • Year and Date
      2010-03-24
  • [Presentation] 一般化されたskew Informationに関する不等式について2009

    • Author(s)
      柳研二郎
    • Organizer
      第32回情報理論とその応用シンポジウム(SITA2009)
    • Place of Presentation
      湯田温泉ホテルかめ福(山口市)
    • Year and Date
      2009-12-02
  • [Presentation] skew information,uncertainty relations and trace inequalities2009

    • Author(s)
      Shigeru Furuichi, Kenjiro Yanagi, Ken Kuriyama
    • Organizer
      The Fifth International Conference on Information (Information 2009)
    • Place of Presentation
      京都大学
    • Year and Date
      2009-11-07
  • [Presentation] Remarks on trace inequalities for products of matrices2009

    • Author(s)
      Shigeru Furuichi, Ken Kuriyama, Kenjiro Yanagi
    • Organizer
      The Sixth International Conference on Nonlinea Analysis and Convex Analysis (NACA2009)
    • Place of Presentation
      東京工大
    • Year and Date
      2009-03-29
  • [Presentation] 情報理論に現れるある不等式について2009

    • Author(s)
      柳研二郎,山下範幸
    • Organizer
      日本数学会実関数論分科会
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-27
  • [Presentation] Generalized Wigner-Yanase skew information and generalized Fisher information2008

    • Author(s)
      Kenjiro Yanagi, Shigeru Furuichi, Ken Kuriyama
    • Organizer
      2008 International Symposium on Information Theory and its Applications (ISITA2008)
    • Place of Presentation
      The Langham Hotel (Auckland, New Zealand)
    • Year and Date
      2008-12-08
  • [Presentation] Wigner-Yanase-Dyson skew informationに関する不等式 III2008

    • Author(s)
      古市茂,柳研二郎,栗山憲
    • Organizer
      日本数学会函数解析分科会
    • Place of Presentation
      東京工大
    • Year and Date
      2008-09-24
  • [Presentation] Development of three dimensional FSM-DDM system with rock hole and rock bolt line element2008

    • Author(s)
      Chenglun Liu, Ken Kuriyama, Yoshiaki Mizuta
    • Organizer
      12th Japan Symposium on Rock Mechanics : ISRM2008&2009 West Japan Symposium on Rock Engineering
    • Place of Presentation
      Yamaguchi University
    • Year and Date
      2008-09-15
  • [Presentation] International Workshop on Operator Theory and its Applicatiions2008

    • Author(s)
      Shigeru Furuichi, Kenjiro Yanagi, Ken Kuriyama, Matrix inequalities on a Generalized Wigner-Yanase skew Information
    • Organizer
      IWOTA2008
    • Place of Presentation
      The College of William and Mary (Williamsberg, USA)
    • Year and Date
      2008-06-22
  • [Presentation] On trace inequalities for products of matrices2008

    • Author(s)
      Shigeru Furuichi, Kenjiro Yanagi, Ken Kuriyama
    • Organizer
      15th Conference of The International Linear Algebra Society (ILAS2008)
    • Place of Presentation
      Cancun(Mexico)
    • Year and Date
      2008-06-16
  • [Presentation] 一般化されたskew informationに関連した不確定性関係2008

    • Author(s)
      柳研二郎,古市茂,栗山憲
    • Organizer
      京都大学数理解析研究所・研究集会「バナッハ空間及び関数空間論の最近の進展とその応用」
    • Place of Presentation
      京都大学
    • Year and Date
      2008-06-05
  • [Remarks] ホームページ等

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Published: 2012-01-26   Modified: 2016-04-21  

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