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A Basic Research toward Highly Reliable Quantum Communication Systems

Research Project

Project/Area Number 14550387
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 情報通信工学
Research InstitutionOsaka Sangyo University

Principal Investigator

TOKIWA Kin-ichiroh  Osaka Sangyo University, Faculty of Engineering, Professor, 工学部, 教授 (70172145)

Project Period (FY) 2002 – 2004
Project Status Completed (Fiscal Year 2004)
Budget Amount *help
¥3,300,000 (Direct Cost: ¥3,300,000)
Fiscal Year 2004: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2003: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2002: ¥1,500,000 (Direct Cost: ¥1,500,000)
KeywordsQuantum Communication / Quantum Information Theory / Quantum Coding Theory / Quantum Computer / Quantum Errors / Quantum Error Correcting Codes / Quantum Error Correction / Reed-solomon Codes / 誤り訂正符号 / バースト誤り
Research Abstract

Recently, quantum information theory has been widely recognized as one of the most important research areas. Especially, in order to realize highly reliable quantum communication systems, quantum error-correcting codes have been developed as one of the promising methods for protecting quantum information against quantum errors. In this research, we have investigated in details how to construct a class of good quantum error-correcting codes. We have considered the following issues.
(1)We have considered a class of CSS type binary quantum codes with burst-error-correcting capabilities. By using our proposed efficient search algorithm, we have given a list of some new good quantum burst-error-correcting codes of length less than or equal to 51. Those codes are very efficient and attractive for correcting quantum burst errors.
(2)We have also addressed another issue whether any good quantum codes can be constructed based on a family of modified Reed-Solomon codes or not. Especially, we have considered two types of modified Reed-Solomon codes ; one is Subspace Subcodes of Reed-Solomon(SSRS) codes and the other is Generalized Reed-Solomon(GRS) codes. Unfortunately we have not been able to obtain any conclusion, but we remain convinced that both SSRS and GRS codes are useful to construct a new class of good quantum error-correcting codes.

Report

(4 results)
  • 2004 Annual Research Report   Final Research Report Summary
  • 2003 Annual Research Report
  • 2002 Annual Research Report
  • Research Products

    (12 results)

All 2005 2004 Other

All Journal Article (11 results) Publications (1 results)

  • [Journal Article] Some Binary Quantum Codes with Good Burst-Error-Correcting Capabilities2005

    • Author(s)
      Kin-ichiroh Tokiwa
    • Journal Title

      Journal of Osaka Sangyo University, Natural Sciences 116

      Pages: 11-17

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Some Binary Quantum Codes with Good Burst-Error-Correcting Capabilities2005

    • Author(s)
      Kin-ichiroh TOKIWA
    • Journal Title

      Journal of Osaka Sangyo University, Natural Sciences No.116

      Pages: 11-17

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Some Binary Quantum Codes with Good Burst-Error-Correcting Capabilities2005

    • Author(s)
      Kin-ichiroh Tokiwa
    • Journal Title

      大阪産業大学論集 自然科学編 第116巻

      Pages: 11-17

    • Related Report
      2004 Annual Research Report
  • [Journal Article] リードソロモン符号の部分符号を構成する効率的アルゴリズム2004

    • Author(s)
      占部 典宏
    • Journal Title

      電子情報通信学会論文誌A J87-A

      Pages: 234-241

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] リードソロモン符号の部分符号に対する誤り訂正能力について2004

    • Author(s)
      伊藤 善之
    • Journal Title

      電子情報通信学会情報理論研究会技術報告 IT2004

      Pages: 1-6

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] 一般化リードソロモン符号に基づくWeakly Self-Dual符号について2004

    • Author(s)
      木山 和敬
    • Journal Title

      電子情報通信学会情報理論研究会技術報告 IT2004

      Pages: 7-11

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] An Efficient Algorithm to Construct Subspace Subcodes of Reed-Solomon Codes2004

    • Author(s)
      Norihiro Urabe
    • Journal Title

      IEICE Transactions on Fundamentals Vol.J87-A, No.2

      Pages: 234-241

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Notes on Error-Correcting Capability of a Class of Subspace Subcodes of Reed-Solomon Codes2004

    • Author(s)
      Yoshiyuki ITO
    • Journal Title

      Technical Report of IEICE IT2004-38

      Pages: 1-6

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Notes on a Class of Weakly Self-Dual Codes based on Generalized Reed-Solomon Codes2004

    • Author(s)
      Kazutaka KIYAMA
    • Journal Title

      Technical Report of IEICE IT2004-39

      Pages: 7-11

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] リードソロモン符号の部分符号に対する誤り訂正能力について2004

    • Author(s)
      伊藤 善之
    • Journal Title

      電子情報通信学会信学技報 IT2004-38

      Pages: 1-5

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 一般化リードソロモン符号に基づくWeakly Self-Dual符号について2004

    • Author(s)
      木山 和敬
    • Journal Title

      電子情報通信学会信学技報 IT2004-39

      Pages: 7-11

    • Related Report
      2004 Annual Research Report
  • [Publications] 占部典宏: "リードソロモン符号の部分符号を構成する効率的アルゴリズム"電子情報通信学会論文誌A. J87-A・2. 234-241 (2004)

    • Related Report
      2003 Annual Research Report

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Published: 2002-04-01   Modified: 2016-04-21  

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