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A study of inequalities in operator theory and quantum information theory

Research Project

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
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2008: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywords作用素 / 量子情報 / 不等式 / 不確定性関係 / ヒルベルト空間 / skew information / 数理計画 / エントロピー / トレイス不等式 / H無限大ノルム / 非可換性
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.

Report

(4 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (44 results)

All 2011 2010 2009 2008 Other

All Journal Article (20 results) (of which Peer Reviewed: 19 results) Presentation (23 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

    • NAID

      120002971050

    • Related Report
      2010 Final Research Report
  • [Journal Article] Metric adjusted skew information and uncertainty relation2011

    • Author(s)
      Kenjiro Yanagi
    • Journal Title

      Journal of Mathematical Analysis and Application

      Volume: 380 Pages: 888-892

    • NAID

      120002971050

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [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

    • NAID

      120002427019

    • Related Report
      2010 Final Research Report
    • 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

    • NAID

      120001793948

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Uncertainty relation on generalized Wigner-Yanase-Dyson skew information2010

    • Author(s)
      Kenjiro Yanagi
    • Journal Title

      Linear Algebra and its Application

      Volume: 433 Pages: 1524-1532

    • NAID

      120002427019

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Uncertainty relation on generalized Wigner-Yanase-Dyson skew information2010

    • Author(s)
      Kenjiro Yanagi
    • Journal Title

      Journal of Mathematical Analysis and Application

      Volume: 365 Pages: 12-18

    • NAID

      120002427019

    • Related Report
      2010 Annual Research Report
    • 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

    • NAID

      120001716498

    • Related Report
      2010 Final Research Report
    • 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

    • NAID

      120001716497

    • Related Report
      2010 Final Research Report
    • 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

    • Related Report
      2010 Final Research Report
    • 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

    • Related Report
      2010 Final Research Report
    • 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

    • Related Report
      2010 Final Research Report
    • 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

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Extension of the algorithm to compute H norm of a parametric system2009

    • Author(s)
      Takuya Kitamoto
    • Journal Title

      IEICE Transactions of Fundamentals of Electronics, Communications and Computer Sciences E92-A

      Pages: 2036-2045

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Trace inequalities on a generalized Wigner-Yanase Skew information2009

    • Author(s)
      Shigeru Furuichi
    • Journal Title

      Journal of Mathematical Analysis and Applications 356

      Pages: 179-185

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Traces inequalities for products of matrices2009

    • Author(s)
      Shigeru Furuichi
    • Journal Title

      Linear Algebra and its Applications 430

      Pages: 2271-2276

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Periodic solutions of the short pulse model equation2008

    • Author(s)
      Yoshimasa Matuno
    • Journal Title

      Journal of Mathematical Physics Vol.49

    • Related Report
      2010 Final Research Report
    • 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

    • NAID

      10023985990

    • Related Report
      2010 Final Research Report
    • 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

    • Related Report
      2010 Final Research Report
    • 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

    • NAID

      10026850876

    • Related Report
      2010 Final Research Report
    • 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

    • Related Report
      2010 Final Research Report
    • 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
    • Related Report
      2010 Final Research Report
  • [Presentation] Wigner-Yanase-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
    • 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-函数解析学の視点から-
    • Place of Presentation
      京都大学(京都市)
    • Year and Date
      2010-12-20
    • Related Report
      2010 Annual Research Report
  • [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
    • Related Report
      2010 Final Research Report
  • [Presentation] On Luo's uncertainty relation2010

    • Author(s)
      柳研二郎
    • Organizer
      2010年度実解析学シンポジウム
    • Place of Presentation
      九州工業大学(北九州市)
    • Year and Date
      2010-11-13
    • Related Report
      2010 Annual Research Report
  • [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
    • Related Report
      2010 Final Research Report
  • [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
    • Related Report
      2010 Final Research Report
  • [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
    • Related Report
      2010 Final Research Report
  • [Presentation] Trace inequality on generalized Wigner-Yanase-Dyson skew information2010

    • Author(s)
      Kenjiro Yanagi
    • Organizer
      The Second Asian Conference on Nonlinear Analysis and Optimization
    • Place of Presentation
      Pucket(Thailand)
    • Year and Date
      2010-09-11
    • Related Report
      2010 Annual Research Report
  • [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
    • Related Report
      2010 Final Research Report
  • [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2010

    • Author(s)
      栗山憲
    • Organizer
      空気調和衛生工学会
    • Place of Presentation
      山口大学(山口市)
    • Year and Date
      2010-09-01
    • Related Report
      2010 Annual Research Report
  • [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
    • Related Report
      2010 Final Research Report
  • [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
    • Related Report
      2010 Final Research Report
  • [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
    • Related Report
      2010 Final Research Report
  • [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
    • Related Report
      2010 Final Research Report
  • [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
    • Related Report
      2010 Final Research Report
  • [Presentation] Algebraic approach to the computation of the the defining polynomial of the algebraic Riccati equation2009

    • Author(s)
      T.Kitamoto
    • Organizer
      CASC 2009, "Kobe
    • Place of Presentation
      Kobe
    • Related Report
      2009 Annual Research Report
  • [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
    • Related Report
      2010 Final Research Report
  • [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
    • Related Report
      2010 Final Research Report
  • [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
    • Related Report
      2010 Final Research Report
  • [Presentation] Development of Three Dimensional FSM-DDM System With Rock Hole and Rock Bolt Line Elements2008

    • Author(s)
      Liu C. L
    • Organizer
      12th Japan Symposium on Rock Mechanics
    • Place of Presentation
      Yamaguchi University Ube City, Japan
    • Year and Date
      2008-09-02
    • Related Report
      2008 Annual Research Report
  • [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
    • Related Report
      2010 Final Research Report
  • [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
    • Related Report
      2010 Final Research Report
  • [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
    • Related Report
      2010 Final Research Report
  • [Remarks] ホームページ等

    • Related Report
      2010 Final Research Report

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Published: 2008-04-01   Modified: 2016-04-21  

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