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2008 Fiscal Year Final Research Report

Crossover between Quantum Information Theory and Quantum Computational Complexity Theory

Research Project

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Project/Area Number 18300002
Research Category

Grant-in-Aid for Scientific Research (B)

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

Principal Investigator

KOSHIBA Takeshi  Saitama University, 大学院・理工学研究科, 准教授 (60400800)

Co-Investigator(Kenkyū-buntansha) MATSUMOTO Keiji  国立情報学研究所, 准教授 (60272390)
KOBAYASHI Hirotada  国立情報学研究所, プロジェクト研究員 (60413936)
KAWACHI Akinori  東京工業大学, 大学院・情報理工学研究科, 助教 (00397035)
Project Period (FY) 2006 – 2008
Keywords量子計算理論 / 量子情報理論 / 暗号理論 / 量子アルゴリズム
Research Abstract

We investigated the potential abilities of quantum information processing from the viewpoints of interactive proofs, theory of cryptography and algorithms. We showed that quantum entanglement is effective in multi-prover systems, proposed a non-interactive bit commitment scheme, and derived a limitation of quantum algorithms for the hidden subgroup problem.

  • Research Products

    (18 results)

All 2009 2008 2007 2006

All Journal Article (12 results) (of which Peer Reviewed: 11 results) Presentation (5 results) Book (1 results)

  • [Journal Article] Statistically hiding quantum bit commitment from approximable preimage size quantum one-way function2009

    • Author(s)
      T. Koshiba, T. Odaira
    • Journal Title

      Lecture Notes in Computer Science Vol. 5906

      Pages: 33-46

    • Peer Reviewed
  • [Journal Article] Quantum measurements for hidden subgroup problems with optimal sample complexity2008

    • Author(s)
      M. Hayashi, A. Kawachi, H. Kobayashi
    • Journal Title

      Quantum Information and Computation Vol. 8

      Pages: 345-358

    • Peer Reviewed
  • [Journal Article] Generalized Tsirelson inequalities, commuting-operator provers, and multi-prover interactive proof systems2008

    • Author(s)
      T. Ito, H. Kobayashi, D. Preda, X. Sun, A. C.-C. Yao
    • Journal Title

      Proc. 23^<rd> Annual IEEE Conference on Computational Complexity

      Pages: 187-198

    • Peer Reviewed
  • [Journal Article] Using entanglement in quantum multi-prover interacitve proofs2008

    • Author(s)
      J. Kempe, H. Kobayashi, K. Matsumoto, T. Vidick
    • Journal Title

      Proc. 23^<rd> Annual IEEE Conference on Computational Complexity

      Pages: 211-222

    • Peer Reviewed
  • [Journal Article] A combinatorial approach to deriving lower bounds for perfectly secure oblivious transfer reductions2008

    • Author(s)
      K. Kurosawa, W. Kishimoto, T. Koshiba
    • Journal Title

      IEEE Transactions on Information Theory Vol. 54

      Pages: 2566-2571

    • Peer Reviewed
  • [Journal Article] Concurrently secure identification schemes based on the worst-case hardness of lattice problems2008

    • Author(s)
      A. Kawachi, K. Tanaka, K. Xagawa
    • Journal Title

      Lecture Notes in Computer Science Vol. 5350

      Pages: 372-389

    • Peer Reviewed
  • [Journal Article] On the power of quantum encryption keys2008

    • Author(s)
      A. Kawachi, C. Portmann
    • Journal Title

      Lecture Notes in Computer Science Vol. 5299

      Pages: 165-180

    • Peer Reviewed
  • [Journal Article] Simple direct reduction of string (1,2)-OT to Rabin's OT without privacy amplification2008

    • Author(s)
      K. Kurosawa, T. Koshiba
    • Journal Title

      Lecture Notes in Computer Science Vol. 5155

      Pages: 199-209

    • Peer Reviewed
  • [Journal Article] More on security of public-key cryptography based on Chebyshev polynomials2007

    • Author(s)
      K.-Y. Cheong, T. Koshiba
    • Journal Title

      IEEE Transactions on Circuits and Systems II Vol. 54

      Pages: 795-799

    • Peer Reviewed
  • [Journal Article] Low-density attack revisited, Desings2007

    • Author(s)
      T. Izu, J. Kogure, T. Koshiba, T. Shimoyama
    • Journal Title

      Codes and Cryptography Vol. 43

      Pages: 47-59

    • Peer Reviewed
  • [Journal Article] Multi-bit cryptosystems based on lattice problems2007

    • Author(s)
      A. Kawachi, K. Tanaka, K. Xagawa
    • Journal Title

      Lecture Notes in Computer Science Vol. 4450

      Pages: 315-329

    • Peer Reviewed
  • [Journal Article] Progress in quantum computational cryptography2006

    • Author(s)
      A. Kawachi, T. Koshiba
    • Journal Title

      Journal of Universal Computer Science Vol. 12

      Pages: 691-709

  • [Presentation] Oracularization and two-prover one-round interactive proofs against nonlocal strategies2009

    • Author(s)
      T. Ito, H. Kobayashi, K. Matsumoto
    • Organizer
      The 12^<th> Workshop on Quantum Information Processing
    • Place of Presentation
      Santa Fe, USA
    • Year and Date
      2009-01-14
  • [Presentation] On quantum oblivious transfer2008

    • Author(s)
      T. Koshiba
    • Organizer
      JST-CNRS Joint Workshop on Quantum Computer : Theory and Feasibility
    • Place of Presentation
      Paris, France
    • Year and Date
      2008-09-25
  • [Presentation] Relations between orthogonality and linear independence2008

    • Author(s)
      M. Hagiwara, A. Kawachi
    • Organizer
      JST-CNRS Joint Workshop on Quantum Computer : Theory and Feasibility
    • Place of Presentation
      Paris, France
    • Year and Date
      2008-09-25
  • [Presentation] Generalized Tsirelson inequalities, commuting-operator provers, and multi-prover interactiveproof systems2007

    • Author(s)
      T. Ito, H. Kobayashi, D. Preda, X. Sun, A. C.-C. Yao
    • Organizer
      The 11^<th> Workshop on Quantum Information Processing
    • Place of Presentation
      New Delhi, India
    • Year and Date
      2007-12-17
  • [Presentation] Using entanglement in quantum multi-prover interactive proofs2007

    • Author(s)
      J. Kempe, H. Kobayashi, K. Matsumoto, T. Vidick
    • Organizer
      The 11^<th> Workshop on Quantum Information Processing
    • Place of Presentation
      New Delhi, India
    • Year and Date
      2007-12-17
  • [Book] 量子暗号理論の展開 (臨時別冊・数理科学SGCライブラリ67)2008

    • Author(s)
      小芦雅斗, 小柴健史
    • Total Pages
      79-129
    • Publisher
      サイエンス社

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Published: 2011-06-18   Modified: 2016-04-21  

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