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Research on quantum communication complexity and its applications

Research Project

Project/Area Number 22700014
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Fundamental theory of informatics
Research InstitutionNagoya University (2012-2013)
Osaka Prefecture University (2010-2011)

Principal Investigator

NISHIMURA Harumichi  名古屋大学, 情報科学研究科, 准教授 (70433323)

Project Period (FY) 2010-04-01 – 2014-03-31
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
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: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywords量子通信通信量 / ネットワーク符号 / 質問計算量 / 対話型証明 / 量子計算理論 / 通信計算量 / 量子通信
Research Abstract

Quantum communication complexity is one of main topics on quantum complexity theory, and its aim is to measure the amounts of quantum communication among multiple parties for computing some function. In this research, we have studied the applications of quantum communication complexity to quantum network coding, quantum query complexity, and quantum interactive proofs. The possibilities and limits of these computing/communication models have been investigated based on how much communication is needed. In particular, we have succeeded in constructing general quantum network coding protocols and improving some parameters of quantum interactive proofs.

Report

(4 results)
  • 2013 Final Research Report ( PDF )
  • 2012 Annual Research Report
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (56 results)

All 2013 2012 2011 2010 Other

All Journal Article (15 results) (of which Peer Reviewed: 10 results) Presentation (39 results) (of which Invited: 2 results) Book (1 results) Remarks (1 results)

  • [Journal Article] Recovering strings in oracles : quantum and classic2013

    • Author(s)
      Kazuo Iwama, Harumichi Nishimura
    • Journal Title

      International Journal of Foundations of Computer Science (招待論文)

      Volume: 24 Pages: 979-993

    • Related Report
      2013 Final Research Report
  • [Journal Article] Stronger methods of making quantum interactive proofs perfectly complete2013

    • Author(s)
      Hirotada Kobayashi, Francois Le Gall, Harumichi Nishimura
    • Journal Title

      Proceedings of the 4th ACM Conference on Innovations in Theoretical Computer Science

      Volume: 4 Pages: 329-352

    • DOI

      10.1145/2422436.2422475

    • NAID

      110009779047

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Quantum counterfeit coin problems2013

    • Author(s)
      K. Iwama, H. Nishimura, R. Raymond, J. Teruyama
    • Journal Title

      Theoretical Computer Science 456

      Volume: 456 Pages: 329-352

    • DOI

      10.1016/j.tcs.2012.05.039

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Achieving perfect completeness in classical-witness quantum Merlin-Arthur proof systems2012

    • Author(s)
      Stephen P. Jordan, Hirotada Kobayashi, Daniel Nagaj, Harumichi Nishimura
    • Journal Title

      Quantum Information & Computation

      Volume: 12(5-6) Pages: 461-471

    • Related Report
      2013 Final Research Report 2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On QMA protocols with two short quantum proofs2012

    • Author(s)
      Francois Le Gall, Shota Nakagawa, Harumichi Nishimura
    • Journal Title

      Quantum Information & Computation

      Volume: 12(7-8) Pages: 589-600

    • Related Report
      2013 Final Research Report 2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Junichi Teruyama, Quantum counterfeit coin problems2012

    • Author(s)
      Kazuo Iwama, Harumichi Nishimura, Rudy Raymond
    • Journal Title

      Theoretical Computer Science

      Volume: 456 Pages: 51-64

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Reconstructing strings from substrings with quantum queries2012

    • Author(s)
      Richard Cleve, Kazuo Iwama, Francois Le Gall, Harumichi Nishimura, Seiichiro Tani, Junichi Teruyama, Shigeru Yamashita
    • Journal Title

      Lecture Notes in Computer Science

      Volume: 7357 Pages: 622-633

    • DOI

      10.1007/978-3-642-31155-0_34

    • NAID

      110009564275

    • ISBN
      9783642311543, 9783642311550
    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Unbounded-error quantum query complexity2011

    • Author(s)
      Ashley Montanaro, Harumichi Nishimura, Rudy Raymond
    • Journal Title

      Theoretical Computer Science

      Volume: 412(35) Pages: 4619-4628

    • NAID

      110006782071

    • Related Report
      2013 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Constructing quantum network coding schemes from classical nonlinear protocols2011

    • Author(s)
      Hirotada Kobayashi, Francois Le Gall, Harumichi Nishimura, Martin Roetteler
    • Journal Title

      Proceedings of IEEE International Symposium on Information Theory 2011

      Pages: 109-113

    • DOI

      10.1109/isit.2011.6033701

    • NAID

      110008726047

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Constructing quantum network coding schemes from classical nonlinear protocols2011

    • Author(s)
      Hirotada Kobayashi, Francois Le Gall, Harumichi Nishimura, Martin Roetteler
    • Journal Title

      電子情報通信学会技術研究報告

      Volume: 111(25) Pages: 25-31

    • NAID

      110008726047

    • Related Report
      2011 Annual Research Report
  • [Journal Article] On QMA protocols with two short quantum proofs2011

    • Author(s)
      Francois Le Gall, Shota Nakagawa, Harumichi Nishimura
    • Journal Title

      量子情報研究技術研究会資料

      Volume: 25 Pages: 21-26

    • Related Report
      2011 Annual Research Report
  • [Journal Article] Perfect quantum network communication protocol based on classical network coding2010

    • Author(s)
      Hirotada Kobayashi, Francois Le Gall, Harumichi Nishimura, Martin Roetteler
    • Journal Title

      Proceedings of IEEE International Symposium on Information Theory 2010

      Pages: 2686-2690

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Quantum counterfeit coin problems2010

    • Author(s)
      Kazuo Iwama, Harumichi Nishimura, Rudy Raymond, Junichi Teruyama
    • Journal Title

      Lecture Notes in Computer Science

      Volume: 6506 Pages: 73-84

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Quantum counterfeit coin problems2010

    • Author(s)
      岩間一雄, 西村治道, Rudy Raymond, 照山順一
    • Journal Title

      量子情報技術研究会資料

      Volume: 23 Pages: 24-29

    • Related Report
      2010 Annual Research Report
  • [Journal Article] Blier-Tapp QMAプロトコルの健全性について2010

    • Author(s)
      中川翔太, 西村治道
    • Journal Title

      量子情報技術研究会資料

      Volume: 23 Pages: 132-135

    • Related Report
      2010 Annual Research Report
  • [Presentation] Stronger methods of making quantum interactive proofs perfectly complete2013

    • Author(s)
      小林弘忠,Francois Le Gall,西村治道
    • Organizer
      コンピュテーション研究会
    • Place of Presentation
      奈良 (COMP2013-24, 31-38)
    • Year and Date
      2013-06-24
    • Related Report
      2013 Final Research Report
  • [Presentation] Stronger methods of making quantum interactive proofs perfectly complete2013

    • Author(s)
      Hirotada Kobayashi, Francois Le Gall, and Harumichi Nishimura
    • Organizer
      4th ACM Conference on Innovations in Theoretical Computer Science (ITCS2013)
    • Place of Presentation
      Berkeley (USA) (in Proceedings of ITCS2013, 329-352 査読有)
    • Related Report
      2013 Final Research Report
  • [Presentation] Towards Perfect Completeness in QMA2013

    • Author(s)
      Stephen Jordan, Hirotada Kobayashi, Francois Le Gall, Daniel Nagaj, and Harumichi Nishimura
    • Organizer
      16th Workshop on Quantum Information Processing (QIP2013)
    • Place of Presentation
      Beijing (China) (査読有)
    • Related Report
      2013 Final Research Report
  • [Presentation] Quantum network coding - How can network coding be applied to quantum information?2013

    • Author(s)
      Harumichi Nishimura
    • Organizer
      2013 IEEE International Symposium on Network Coding (NetCod2013)
    • Place of Presentation
      Calgary (Canada)
    • Related Report
      2013 Final Research Report
    • Invited
  • [Presentation] Towards perfect completeness in QMA2013

    • Author(s)
      Stephen Jordan, Hirotada Kobayashi, Francois Le Gall, Daniel Nagaj, Harumichi Nishimura
    • Organizer
      16th Workshop in Quantum Information Processing
    • Place of Presentation
      Beijing (China)
    • Related Report
      2012 Annual Research Report
  • [Presentation] Stronger methods of making quantum interactive proofs perfectly complete2013

    • Author(s)
      Hirotada Kobayashi, Francois Le Gall, Harumichi Nishimura
    • Organizer
      4th ACM Conference on Innovations in Theoretical Computer Science
    • Place of Presentation
      Berkeley (USA)
    • Related Report
      2012 Annual Research Report
  • [Presentation] 時間ドロボー問題の物質的ゼロ知識証明2013

    • Author(s)
      上田圭祐,西村治道
    • Organizer
      数理解析研究所研究集会:理論計算機科学の新展開(2012年冬のLAシンポジウム)
    • Place of Presentation
      京都大学,京都市
    • Related Report
      2012 Annual Research Report
  • [Presentation] Reconstructing strings from substrings with quantum queries2012

    • Author(s)
      Richard Cleve, 岩間一雄, Francois Le Gall, 西村治道, 谷誠一郎, 照山順一, 山下茂
    • Organizer
      コンピュテーション研究会
    • Place of Presentation
      堺 (COMP2012-2, 7-14)
    • Year and Date
      2012-04-27
    • Related Report
      2013 Final Research Report
  • [Presentation] On QMA protocols with two short quantum proofs2012

    • Author(s)
      Francois Le Gall, Shota Nakagawa, Harumichi Nishimura
    • Organizer
      LAシンポジウム
    • Place of Presentation
      京都大学,京都
    • Year and Date
      2012-01-31
    • Related Report
      2011 Annual Research Report
  • [Presentation] On QMA protocols with two short quantum proofs2012

    • Author(s)
      Francois Le Gall, 中川翔太,西村治道
    • Organizer
      数理解析研究所研究集会 : アルゴリズムと計算理論の新展開(2011年冬のLA シンポジウム)
    • Place of Presentation
      京都 (数理解析研究所講究録 1799, 73-80)
    • Related Report
      2013 Final Research Report
  • [Presentation] Improved quantum algorithms for reconstructing strings from substrings2012

    • Author(s)
      Richard Cleve, Kazuo Iwama, Francois Le Gall, Harumichi Nishimura, Seiichiro Tani, Junichi Teruyama, Shigeru Yamashita
    • Organizer
      5th Annual Meeting of the Asian Association for Algorithms and Computation (AAAC2012)
    • Place of Presentation
      Shanghai (China) (査読有)
    • Related Report
      2013 Final Research Report
  • [Presentation] Reconstructing strings from substrings with quantum queries2012

    • Author(s)
      Richard Cleve, Kazuo Iwama, Francois Le Gall, Harumichi Nishimura, Seiichiro Tani, Junichi Teruyama, Shigeru Yamashita
    • Organizer
      13th Scandinavian Symposium and Workshops (SWAT2012)
    • Place of Presentation
      Helsinki (Finland) (in Proceedings of SWAT2012, Lecture Notes in Computer Science 7357, 622-633 査読有)
    • Related Report
      2013 Final Research Report
  • [Presentation] Reducing error probabilities of quantum Merlin-Arthur proof systems2012

    • Author(s)
      Harumichi Nishimura
    • Organizer
      Japan-Singapore Workshop on Multi-user Quantum Networks
    • Place of Presentation
      Singapore (Singapore)
    • Related Report
      2013 Final Research Report
  • [Presentation] 衝突の列挙に関する量子質問計算量2012

    • Author(s)
      大和雅英,西村治道
    • Organizer
      第27回量子情報技術研究会
    • Place of Presentation
      横浜 (第27回量子情報技術研究会資料, 154-157)
    • Related Report
      2013 Final Research Report
  • [Presentation] Reconstructing strings from substrings with quantum queries2012

    • Author(s)
      Richard Cleve, Kazuo Iwama, Francois Le Gall, Harumichi Nishimura, Seiichiro Tani, Junichi Teruyama, Shigeru Yamashita
    • Organizer
      13th Scandinavian Symposium and Workshops
    • Place of Presentation
      Helsinki (Finland)
    • Related Report
      2012 Annual Research Report
  • [Presentation] Improved quantum algorithms for reconstructing strings from substrings2012

    • Author(s)
      Richard Cleve, Kazuo Iwama, Francois Le Gall, Harumichi Nishimura, Seiichiro Tani, Junichi Teruyama, Shigeru Yamashita
    • Organizer
      5th Annual Meeting of the Asian Association for Algorithms and Computation
    • Place of Presentation
      Shanghai (China)
    • Related Report
      2012 Annual Research Report
  • [Presentation] 衝突の列挙に関する量子質問計算量2012

    • Author(s)
      大和雅英,西村治道
    • Organizer
      第27回量子情報技術研究会
    • Place of Presentation
      慶應大学,横浜市
    • Related Report
      2012 Annual Research Report
  • [Presentation] On QMA protocols with two short quantum proofs2011

    • Author(s)
      Francois Le Gall, Shota Nakagawa, Harumichi Nishimura
    • Organizer
      第25回量子情報技術研究会
    • Place of Presentation
      大阪大学,大阪
    • Year and Date
      2011-11-21
    • Related Report
      2011 Annual Research Report
  • [Presentation] Constructing quantum network coding schemes from classical nonlinear protocols2011

    • Author(s)
      Hirotada Kobayashi, Francois Le Gall, Harumichi Nishimura, Martin Roetteler
    • Organizer
      IEEE International Symposium on Information Theory 2011 (ISIT2011)
    • Place of Presentation
      Saint Petersburg, Russia
    • Year and Date
      2011-07-31
    • Related Report
      2011 Annual Research Report
  • [Presentation] Constructing quantum network coding schemes from classical nonlinear protocols2011

    • Author(s)
      小林弘忠,Francois Le Gall,西村治道,Martin Roetteler
    • Organizer
      コンピュテーション研究会
    • Place of Presentation
      長野 (COMP2011-15, 25-31)
    • Year and Date
      2011-05-11
    • Related Report
      2013 Final Research Report
  • [Presentation] Constructing quantum network coding schemes from classical nonlinear protocols2011

    • Author(s)
      Hirotada Kobayashi, Francois Le Gall, Harumichi Nishimura, Martin Roetteler
    • Organizer
      コンピュテーション研究会
    • Place of Presentation
      信州大学,長野
    • Year and Date
      2011-05-11
    • Related Report
      2011 Annual Research Report
  • [Presentation] Reconstructing strings from substrings with quantum queries2011

    • Author(s)
      Richard Cleve, Kazuo Iwama, Francois Le Gall, Harumichi Nishimura, Seiichiro Tani, Junichi Teruyama, Shigeru Yamashita
    • Organizer
      4th Annual Meeting of the Asian Association for Algorithms and Computation (AAAC2011)
    • Place of Presentation
      HsinChu, Taiwan
    • Year and Date
      2011-04-17
    • Related Report
      2011 Annual Research Report
  • [Presentation] Constructing quantum network coding schemes from classical nonlinear protocols2011

    • Author(s)
      Hirotada Kobayashi, Francois Le Gall, Harumichi Nishimura, Martin Roetteler
    • Organizer
      14th Workshop on Quantum Information Processing (QIP2011)
    • Place of Presentation
      Sentosa (Singapore) (査読有)
    • Related Report
      2013 Final Research Report
  • [Presentation] Reconstructing strings from substrings with quantum queries2011

    • Author(s)
      Richard Cleve, Kazuo Iwama, Francois Le Gall, Harumichi Nishimura, Seiichiro Tani, Junichi Teruyama, Shigeru Yamashita
    • Organizer
      4th Annual Meeting of the Asian Association for Algorithms and Computation (AAAC2011)
    • Place of Presentation
      Hsinchu (Taiwan) (査読有)
    • Related Report
      2013 Final Research Report
  • [Presentation] Constructing quantum network coding schemes from classical nonlinear protocols2011

    • Author(s)
      Hirotada Kobayashi, Francois Le Gall, Harumichi Nishimura, Martin Roetteler
    • Organizer
      IEEE International Symposium on Information Theory 2011 (ISIT2011)
    • Place of Presentation
      Saint Petersburg (Russia) (in Proceedings of ISIT2011, 109-113 査読有)
    • Related Report
      2013 Final Research Report
  • [Presentation] On QMA protocols with two short quantum proofs2011

    • Author(s)
      Francois Le Gall, 中川翔太,西村治道
    • Organizer
      第25回量子情報技術研究会
    • Place of Presentation
      東京 (第25回量子情報技術研究会資料, 21-26)
    • Related Report
      2013 Final Research Report
  • [Presentation] Constructing quantum network coding schemes from classical nonlinear protocols2011

    • Author(s)
      Hirotada Kobayashi, Francois Le Gall, Harumichi Nishimura, Martin Roetteler
    • Organizer
      14th Workshop on Quantum Information Processing (QIP2011)
    • Place of Presentation
      Sentosa (Singapore)
    • Related Report
      2010 Annual Research Report
  • [Presentation] Quantum counterfeit coin problems2010

    • Author(s)
      Kazuo Iwama, Harumichi Nishimura, Rudy Raymond, Junichi Teruyama
    • Organizer
      3rd Annual Meeting of the Asian Association for Algorithms and Computation (AAAC2010)
    • Place of Presentation
      Pohang (Korea) (査読有)
    • Related Report
      2013 Final Research Report
  • [Presentation] Perfect quantum network communication protocol based on classical network coding2010

    • Author(s)
      Hirotada Kobayashi, Francois Le Gall, Harumichi Nishimura, Martin Roetteler
    • Organizer
      IEEE International Symposium on Information Theory 2010 (ISIT2010)
    • Place of Presentation
      Austin (USA) (in Proceedings of ISIT2010, 2686-2690 査読有)
    • Related Report
      2013 Final Research Report
  • [Presentation] 量子ネットワーク符号2010

    • Author(s)
      西村治道
    • Organizer
      第13回情報論的学習理論ワークショップ
    • Place of Presentation
      東京
    • Related Report
      2013 Final Research Report
    • Invited
  • [Presentation] Quantum counterfeit coin problems2010

    • Author(s)
      岩間一雄,西村治道,Rudy Raymond,照山順一
    • Organizer
      第23回量子情報技術研究会
    • Place of Presentation
      東京 (第23回量子情報技術研究会資料, 24-29)
    • Related Report
      2013 Final Research Report
  • [Presentation] Blier-Tapp QMAプロトコルの健全性について2010

    • Author(s)
      中川翔太,西村治道
    • Organizer
      第23回量子情報技術研究会
    • Place of Presentation
      東京 (第23回量子情報技術研究会資料, 132-135)
    • Related Report
      2013 Final Research Report
  • [Presentation] Quantum counterfeit coin problems2010

    • Author(s)
      Kazuo Iwama, Harumichi Nishimura, Rudy Raymond, Junichi Teruyama
    • Organizer
      21st International Symposium on Algorithms and Computation (ISAAC2010)
    • Place of Presentation
      Jeju (Korea) (in Proceedings of ISAAC2010, Lecture Notes in Computer Science 6506, 73-84 査読有)
    • Related Report
      2013 Final Research Report
  • [Presentation] Quantum counterfeit coin problems2010

    • Author(s)
      Kazuo Iwama, Harumichi Nishimura, Rudy Raymond, Junichi Teruyama
    • Organizer
      3rd Annual Meeting of the Asian Association for Algorithms and Computation
    • Place of Presentation
      Pohang (Korea)
    • Related Report
      2010 Annual Research Report
  • [Presentation] Perfect quantum network communication protocol based on classical network coding2010

    • Author(s)
      Hirotada Kobayashi, Francois Le Gall, Harumichi Nishimura, Martin Roetteler
    • Organizer
      IEEE International Symposium on Information Theory 2010
    • Place of Presentation
      Austin (USA)
    • Related Report
      2010 Annual Research Report
  • [Presentation] 量子ネットワーク符号2010

    • Author(s)
      西村治道
    • Organizer
      第13回情報論的学習理論ワークショップ
    • Place of Presentation
      東京大学,東京(招待講演)
    • Related Report
      2010 Annual Research Report
  • [Presentation] Quantum counterfeit coin problems2010

    • Author(s)
      岩間一雄, 西村治道, Rudy Raymond, 照山順一
    • Organizer
      第23回量子情報技術研究会
    • Place of Presentation
      東京大学,東京
    • Related Report
      2010 Annual Research Report
  • [Presentation] Blier-Tapp QMAプロトコルの健全性について2010

    • Author(s)
      中川翔太, 西村治道
    • Organizer
      第23回量子情報技術研究会
    • Place of Presentation
      東京大学,東京
    • Related Report
      2010 Annual Research Report
  • [Presentation] Quantum counterfeit coin problems2010

    • Author(s)
      Kazuo Iwama, Harumichi Nishimura, Rudy Raymond, Junichi Teruyama
    • Organizer
      21st International Symposium on Algorithms and Computation (ISAAC2010)
    • Place of Presentation
      Jeju (Korea)
    • Related Report
      2010 Annual Research Report
  • [Book] 電子情報通信学会ハンドブック「知識ベース 知識の森」S2群5編3章1節(量子計算理論)および6群2編6章2節(通信計算量)2011

    • Author(s)
      西村治道
    • Related Report
      2013 Final Research Report
  • [Remarks] ホームページ

    • URL

      http://www.math.cm.is.nagoya-u.ac.jp/~hnishimura

    • Related Report
      2013 Final Research Report

URL: 

Published: 2010-08-23   Modified: 2019-07-29  

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