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Reversibility of Channels and Information Geometry in Quantum Mechanical Systems

Research Project

Project/Area Number 21740066
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionThe University of Electro-Communications

Principal Investigator

OGAWA Tomohiro  電気通信大学, 大学院・情報システム学研究科, 准教授 (00323527)

Project Period (FY) 2009 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords量子情報理論 / 情報スペクトル / 通信路分解能 / 通信路符号化 / 盗聴通信路符号化 / 相互情報量 / 十分統計量 / 量子通信路 / 通信路分解能符号化 / 情報幾何 / 盗聴通信路符号 / 通信路分解能符号 / ビットコミットメント
Research Abstract

Concerning channel resolvability for quantum channels, a general formula based on the information spectrum method was proved in a general setting without any assumption such as stationary memoryless channels. The formula can be applied to show general formulas for quantum wiretap channel coding and quantum channel coding for sending quantum states. Also, showing universal channel resolvability coding theorem, which can be available for unknown channels, for a class including stationary memoryless channels, an universal wiretap channel coding theorem for classical and classical-quantum channels was given.

Report

(5 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • 2009 Annual Research Report
  • Research Products

    (13 results)

All 2013 2012 2011 2010 Other

All Presentation (13 results)

  • [Presentation] 量子通信路のノイズに関する順序と情報量に関する研究2013

    • Author(s)
      岡澤太志, 鈴木淳, 小川朋宏
    • Organizer
      IT・ISEC・WBS合同研究会
    • Place of Presentation
      関西学院大学(大阪)
    • Year and Date
      2013-03-07
    • Related Report
      2012 Final Research Report
  • [Presentation] 逆シャノン定理による通信路の再現に関する研究2013

    • Author(s)
      長井大地, 小川朋宏
    • Organizer
      IT・ ISEC・WBS 合同研究会
    • Place of Presentation
      関西学院大学(大阪)
    • Year and Date
      2013-03-07
    • Related Report
      2012 Final Research Report
  • [Presentation] On general formulas for c-q channel resolvability, private capacity, and q-q capacity2012

    • Author(s)
      Tomohiro Ogawa
    • Organizer
      量子情報技術研究会(QIT27)
    • Place of Presentation
      慶応義塾大学
    • Year and Date
      2012-11-27
    • Related Report
      2012 Final Research Report
  • [Presentation] On general formulas for c-q channel resolvability, private capacity, and q-q capacity2012

    • Author(s)
      Tomohiro Ogawa
    • Organizer
      量子情報技術研究会 (QIT27)
    • Place of Presentation
      慶応義塾大学
    • Year and Date
      2012-11-27
    • Related Report
      2012 Annual Research Report 2012 Final Research Report
  • [Presentation] Universal Resolvability and Wiretap Channel Coding for Classical-Quantum Channels2012

    • Author(s)
      Tomohiro Ogawa
    • Organizer
      35th Symposium on Information Theory and its Applications (SITA2012)
    • Place of Presentation
      別府湾ロイヤルホテル(大分県)
    • Year and Date
      2012-02-13
    • Related Report
      2012 Final Research Report
  • [Presentation] 量子秘密分散法における一般アクセス構造に関する研究2011

    • Author(s)
      小松知紀, 小川朋宏
    • Organizer
      量子情報科学ウィンタースクール2011ポスター発表
    • Place of Presentation
      東北大学川渡共同セミナーセンター(宮城県)
    • Year and Date
      2011-02-24
    • Related Report
      2012 Final Research Report
  • [Presentation] 量子誤り訂正符号の基礎と量子秘密分散2010

    • Author(s)
      小川朋宏
    • Organizer
      第13回情報論的学習理論ワークショップ(IBIS 2010)
    • Place of Presentation
      東京大学生産技術研究所
    • Year and Date
      2010-11-06
    • Related Report
      2012 Final Research Report 2010 Annual Research Report
  • [Presentation] 量子誤り訂正における作用素代数的方法2010

    • Author(s)
      小川朋宏
    • Organizer
      量子情報技術研究会(QIT22)
    • Place of Presentation
      大阪大学吹田キャンパス
    • Year and Date
      2010-05-10
    • Related Report
      2012 Final Research Report
  • [Presentation] 量子誤り訂正における作用素代数的方法2010

    • Author(s)
      小川朋宏
    • Organizer
      第22回量子情報技術研究会(QIT22)
    • Place of Presentation
      大阪大学吹田キャンパス
    • Year and Date
      2010-05-10
    • Related Report
      2010 Annual Research Report
  • [Presentation] An universal resolvability and wiretap channel coding for classical-quantum channels

    • Author(s)
      Tomohiro Ogawa
    • Organizer
      Japan-Singapore Workshop on Multi-user Quantum Networks, Singapore
    • Place of Presentation
      National University of Singapore, SIngapore
    • Related Report
      2012 Annual Research Report
  • [Presentation] Universal Resolvability and Wiretap Channel Coding for Classical-Quantum Channels

    • Author(s)
      Tomohiro Ogawa
    • Organizer
      35th Symposium on Information Theory and its Applications (SITA2012)
    • Place of Presentation
      別府湾ロイヤルホテル(大分県)
    • Related Report
      2012 Annual Research Report
  • [Presentation] 量子通信路のノイズに関する順序と情報量に関する研究

    • Author(s)
      岡澤太志, 鈴木淳, 小川朋宏
    • Organizer
      IT・ISEC・WBS合同研究会
    • Place of Presentation
      関西学院大学(大阪)
    • Related Report
      2012 Annual Research Report
  • [Presentation] 逆シャノン定理による通信路の再現に関する研究

    • Author(s)
      長井大地, 小川朋宏
    • Organizer
      IT・ISEC・WBS合同研究会
    • Place of Presentation
      関西学院大学(大阪)
    • Related Report
      2012 Annual Research Report

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Published: 2009-04-01   Modified: 2019-07-29  

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