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Study on Discrete Adiabatic Quantum Computation in NPcomplete problem

Research Project

Project/Area Number 22500017
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Fundamental theory of informatics
Research InstitutionKagoshima University

Principal Investigator

NAKAYAMA Shigeru  鹿児島大学, 大学院・理工学研究科, 教授 (00112714)

Project Period (FY) 2010 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywords量子情報工学 / 断熱量子計算 / NP完全問題 / 量子コンピュータ / ドイチ問題 / 充足可能性問題 / 隠れ部分郡問題 / 量子アルゴリズム / ドイチ・ジョサ問題 / ベルンシュタイン・ヴァジラニ問題 / サイモン問題 / 組み合わせ最適化問題 / 量子もつれ状態
Research Abstract

In this report, adiabatic quantum computation has been proposed as a quantum algorithm with adiabatic evolution to solve combinatorial optimization problem, then it has been applied to many problems like satisfiability problem as NP complete problem, and Deutsch problem, Deutsch-Jozsa problem, Bernstein-Vazirani problem, Simon problem as hidden subgroup problem. We modify the adiabatic quantum computation with nonlinear step parameter instead of linear step parameter, and propose to solve these problems more efficiently by a method with higher observation probability.

Report

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

    (29 results)

All 2013 2012 2011 2010

All Journal Article (8 results) (of which Peer Reviewed: 8 results) Presentation (21 results)

  • [Journal Article] ドイチ問題における断熱量子計算の研究2012

    • Author(s)
      中山 茂
    • Journal Title

      日本計算工学会論文集

      Volume: Vol.2012, No.P20120011 Pages: 1-6

    • NAID

      130008056299

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] ドイチ問題における断熱量子計算の研究2012

    • Author(s)
      中山 茂
    • Journal Title

      日本計算工学会論文集

      Volume: 2012 Pages: 1-6

    • NAID

      130008056299

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Study on discrete adiabatic quantum computation in 3-SAT problem2011

    • Author(s)
      Mohamed El-fiky, Satoshi Ono, and Shigeru Nakayama
    • Journal Title

      Artificial Life and Robotics

      Volume: Vol.16, No.1 Pages: 107-111

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] 量子もつれ状態を模倣した二匹のアリにおける協調行動と集合的意思決定における一解釈2011

    • Author(s)
      中山 茂、飯村伊智郎
    • Journal Title

      情報処理学会論文誌

      Volume: 第58巻第8号 Pages: 2467-2473

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Study on discrete adiabatic quantum computation in 3-SAT problem2011

    • Author(s)
      Mohamed El-fiky, Satoshi Ono, Shigeru Nakayama
    • Journal Title

      Artificial Life and Robotics

      Volume: 16 Pages: 107-111

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 量子もつれ状態を模倣した二匹のアリにおける協調行動と集合的意思決定における一解釈2011

    • Author(s)
      中山茂、飯村伊智郎
    • Journal Title

      情報処理学会論文誌

      Volume: 52 Pages: 2467-2473

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Study on discrete adiabatic quantum computation in 3-SAT problems2011

    • Author(s)
      El Fiky Mohamed, Satoshi Ono, Shigeru Nakayama
    • Journal Title

      Proceedings of International Symposium on Artificial Life and Robotics (AROB 15)

      Volume: 15 Pages: 649-652

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Discrete Adiabatic Quantum Computation with Quadric Variation2010

    • Author(s)
      El Fiky Mohamed, Satoshi Ono, Shigeru Nakayama
    • Journal Title

      Proceedings of The Second World Congress on Nature and Biologically Inspired Computing (NaBIC2010)

      Volume: 2 Pages: 593-597

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Presentation] Study on Modified Adiabatic Quantum Computation in Deutsch-Jozsa Problem2013

    • Author(s)
      Shigeru Nakayama and Ichiro Iimura
    • Organizer
      International Workshop on Nonlinear Circuits, Communication and Signal Processing (NCSP'13)Kona
    • Place of Presentation
      Hawaii USA
    • Related Report
      2012 Final Research Report
  • [Presentation] Study on Modified Adiabatic Quantum Computation in Deutsch-Jozsa Problem2013

    • Author(s)
      Shigeru Nakayama
    • Organizer
      International Workshop on Nonlinear Circuits,Communication and Signal Processing (NCSP'13)
    • Place of Presentation
      Hawaii, USA
    • Related Report
      2012 Annual Research Report
  • [Presentation] Study on Quantum Parallel Processing by Adiabatic Quantum Computation in Bernstein-Vazirani Problem2012

    • Author(s)
      Shigeru Nakayama, Peng Gang, and Ichiro Iimura
    • Organizer
      4 Proceedings of the 13th International Conference on Parallel and Distributed Computing, Applications and Technologies (PDCAT2012), Regular Session
    • Place of Presentation
      Beijing, China
    • Related Report
      2012 Final Research Report
  • [Presentation] Consideration on Quantum Simulation of Adiabatic Quantum Computation in SAT Problem2012

    • Author(s)
      Shigeru Nakayama and Ichiro Iimura
    • Organizer
      Proceedings of International Conference on Simulation Technology (JSST2012)
    • Place of Presentation
      Kobe, Japan
    • Related Report
      2012 Final Research Report
  • [Presentation] Phase Scaling Effect of Adiabatic Quantum Computation in Deutsch Problem2012

    • Author(s)
      Shigeru Nakayama, Peng Gang, and Ichiro Iimura
    • Organizer
      Proceedings of the 12th Asian Quantum Information Science Conference (AQIS2012)
    • Place of Presentation
      Suzhou, China
    • Related Report
      2012 Final Research Report
  • [Presentation] Study on Adiabatic Quantum Computation in DeutschJozsa Problem2012

    • Author(s)
      Shigeru Nakayama and Gang Peng
    • Organizer
      13th ACIS International Conference on Software Engineering, Artificial Intelligence, Networking and Parallel/Distributed Computing(SNPD 2012)Campus Plaza Kyoto
    • Place of Presentation
      Kyoto, Japan
    • Related Report
      2012 Final Research Report
  • [Presentation] Study on Adiabatic Quantum Computation in Deutsch Problem2012

    • Author(s)
      Shigeru Nakayama
    • Organizer
      2012 International Workshop on Nonlinear Circuits, Communication and Signal Processing (NCSP'12)
    • Place of Presentation
      USA Hawaii
    • Related Report
      2012 Final Research Report
  • [Presentation] A Basic Study on Cooperative Behavior of Two Butterflies Inspired by Quantum Entanglement2012

    • Author(s)
      Masaki Maezono, Ichiro Iimura, and Shigeru Nakayama
    • Organizer
      Proceedings of the 17th International Symposium on Artificial Life and Robotics(AROB'12)
    • Place of Presentation
      大分・別府
    • Related Report
      2012 Final Research Report
  • [Presentation] Study on Adiabatic Quantum Computation in Deutsch・Jozsa Problem2012

    • Author(s)
      Shigeru Nakayama
    • Organizer
      International Conference on Software Engineering, Artificial Intelligence, Networking and Parallel/Distributed Computing(SNPD 2012)
    • Place of Presentation
      Kyoto, Japan
    • Related Report
      2012 Annual Research Report
  • [Presentation] Phase Scaling Effect of Adiabatic Quantum Computation in Deutsch Problem2012

    • Author(s)
      Shigeru Nakayama
    • Organizer
      Asian Quantum Information Science Conference (AQIS2012)
    • Place of Presentation
      Suzhou, China
    • Related Report
      2012 Annual Research Report
  • [Presentation] Consideration on Quantum Simulation of Adiabatic Quantum Computation in SAT Problem2012

    • Author(s)
      Shigeru Nakayama
    • Organizer
      International Conference on Simulation Technology (JSST2012)
    • Place of Presentation
      Kobe, Japan
    • Related Report
      2012 Annual Research Report
  • [Presentation] Study on Quantum Parallel Processing by Adiabatic Quantum Computation in Bernstein-Vazirani Problem2012

    • Author(s)
      Shigeru Nakayama
    • Organizer
      International Conference on Parallel and Distributed Computing, Applications and Technologies (PDCAT2012)
    • Place of Presentation
      Beijing, China
    • Related Report
      2012 Annual Research Report
  • [Presentation] A Basic Study on Cooperative Behavior of Two Butterflies Inspired by Quantum Entanglement2012

    • Author(s)
      Masaki Maezono, Ichiro Iimura, Shigeru Nakayama
    • Organizer
      Proceedings of the 17th International Symposium on Artificial Life and Robotics (AROB2012)
    • Place of Presentation
      大分・別府
    • Related Report
      2011 Annual Research Report
  • [Presentation] Study on Adiabatic Quantum Computation in Deutsch Problem2012

    • Author(s)
      Shigeru Nakayaraa
    • Organizer
      2012 International Workshop on Nonlinear Circuits, Communication and Signal Processing (NCSP'12)
    • Place of Presentation
      米国・ハワイ
    • Related Report
      2011 Annual Research Report
  • [Presentation] A Basic Study on Quantum-Inspired Evolutionary Algorithm Using Integer Type Gene Coding Method Based on Quantum Bit Representation2012

    • Author(s)
      Ichiro Iimura, Yoshifumi Moriyama, Shigeru Nakayama
    • Organizer
      2012 International Workshop on Nonlinear Circuits, Communication and Signal Processing (NCSP'12)
    • Place of Presentation
      米国・ハワイ
    • Related Report
      2011 Annual Research Report
  • [Presentation] ドイチ問題における断熱量子計算の研究2011

    • Author(s)
      中山茂
    • Organizer
      情報処理学会 第82回数理モデル化と問題解決研究発表会
    • Place of Presentation
      青島パームビーチホテル(宮崎県宮崎市)
    • Year and Date
      2011-03-07
    • Related Report
      2010 Annual Research Report
  • [Presentation] Study on Speeding Up of Adiabatic Quantum Computation in Satisfiability Problems2011

    • Author(s)
      Mohamed El-fiky, Satoshi Ono, and Shigeru Nakayama
    • Organizer
      11th Asian Quantum Information Science Conference (AQIS'11)
    • Place of Presentation
      Korea・Pusan
    • Related Report
      2012 Final Research Report
  • [Presentation] Study on discrete adiabatic quantum computation in 3-SAT problems2011

    • Author(s)
      El Fiky Mohamed, Satoshi Ono, Shigeru Nakayama
    • Organizer
      Proceedings of International Symposium on Artificial Life and Robotics (AROB'15)
    • Place of Presentation
      Beppu, Oita
    • Related Report
      2012 Final Research Report
  • [Presentation] Study on Speeding Up of Adiabatic Quantum Computation in Satisfiability Problems2011

    • Author(s)
      Mohamed El-fiky, Satoshi Ono, Shigeru Nakayama
    • Organizer
      11th Asian Quantum Information Science Conferenee (AQIS'11)
    • Place of Presentation
      韓国・釜山
    • Related Report
      2011 Annual Research Report
  • [Presentation] 充足可能性問題における離散断熱量子計算の研究2010

    • Author(s)
      中山茂
    • Organizer
      第63回電気関係学会九州支部連合大会
    • Place of Presentation
      九州産業大学(福岡県福岡市)
    • Year and Date
      2010-09-25
    • Related Report
      2010 Annual Research Report
  • [Presentation] Discrete Adiabatic Quantum Computation with Quadric Variation2010

    • Author(s)
      El Fiky Mohamed, Satoshi Ono, Shigeru Nakayama
    • Organizer
      Proceedings of The Second World Congress on Nature and Biologically Inspired Computing (NaBIC'10)
    • Place of Presentation
      Kitakyushu, Fukuoka
    • Related Report
      2012 Final Research Report

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

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