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2013 Fiscal Year Final Research Report

Distributed quantum information processing via multi-resource networks

Research Project

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Project/Area Number 23540463
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Atomic/Molecular/Quantum electronics
Research InstitutionThe University of Tokyo

Principal Investigator

MURAO Mio  東京大学, 理学(系)研究科(研究院), 准教授 (30322671)

Project Period (FY) 2011 – 2013
Keywords分散型量子情報処理 / 量子計算 / 量子通信 / エンタングルメント / ネットワーク符号化 / 測定ベース量子計算 / 因果関係 / 計算の並列化
Research Abstract

We characterized distributed quantum information processing in terms of nonlocality, complexity, causality and parallelizability. We developed a formulation for the network coding of quantum computation to efficiently perform multi-party distributed quantum computation that simultaneously implements quantum computation and communication. We analyzed the amount of nonlocal resource necessary to perform two-party distributed quantum computation. We proposed a method to perform measurement-base quantum computation using symmetry-breaking thermal states of a many-body system exhibiting a quantum phase transition. We analyzed a parallelizing mechanism and entanglement of measurement based quantum computation in terms of causal order relations. We also proposed a method to generate approximate random states using only diagonal quantum gates and analyzed nonlocal complexity of the method.

  • Research Products

    (23 results)

All 2014 2013 2012 2011 Other

All Journal Article (12 results) (of which Peer Reviewed: 12 results) Presentation (8 results) (of which Invited: 6 results) Remarks (1 results) Patent(Industrial Property Rights) (2 results)

  • [Journal Article] Generating a state t-design by diagonal quantum circuits2014

    • Author(s)
      Y. Nakata, M. Koashi and M. Murao
    • Journal Title

      New J. Phys

      Volume: 16 Pages: 053043

    • DOI

      10.1088/1367-2630/16/5/053043

    • Peer Reviewed
  • [Journal Article] A framework for phase and interference in generalized probabilistic theories2013

    • Author(s)
      J. P. Garner, O. C. O. Dahlsten, Y. Nakata, M. Murao and V. Vedral
    • Journal Title

      New J. Phys

      Volume: 15 Pages: 093044

    • DOI

      10.1088/1367-2630/15/9/093044

    • Peer Reviewed
  • [Journal Article] Diagonal-unitary 2-designs and their implementations by quantum circuits2013

    • Author(s)
      Y. Nakata and M. Murao
    • Journal Title

      International Journal of Quantum Information

      Volume: 11 Pages: 1350062

    • DOI

      10.1142/S0219749913500627

    • Peer Reviewed
  • [Journal Article] Measurement-Based Quantum Computation on Symmetry Breaking Thermal States2013

    • Author(s)
      K. Fujii, Y. Nakata, M. Ohzeki and M. Murao
    • Journal Title

      Phys. Rev. Lett

      Volume: 110 Pages: 120502

    • DOI

      10.1103/PhysRevLett.110.120502

    • Peer Reviewed
  • [Journal Article] Direct evaluation of pure graph state entanglement2013

    • Author(s)
      M. Hajdusek and M. Murao
    • Journal Title

      New J. Phys

      Volume: 15 Pages: 013039

    • DOI

      10.1088/1367-2630/15/1/013039

    • Peer Reviewed
  • [Journal Article] The Chain rule implies Tsirelson's bound : an approach from generalized mutual information2012

    • Author(s)
      E. Wakakuwa and M. Murao
    • Journal Title

      New J. Phys

      Volume: 14 Pages: 113037

    • DOI

      10.1088/1367-2630/14/11/113037

    • Peer Reviewed
  • [Journal Article] Phase-random states : Ensembles of states with fixed amplitudes and uniformly distributed phases in a fixed basis2012

    • Author(s)
      Y. Nakata, P. S. Turner and M. Murao
    • Journal Title

      Phys. Rev

      Volume: A86 Pages: 012301

    • DOI

      10.1103/PhysRevA.86.012301

    • Peer Reviewed
  • [Journal Article] Entanglement and the Interplay between Staggered Fields and Couplings2012

    • Author(s)
      J. Hide, Y. Nakata, M. Murao
    • Journal Title

      Phys. Rev

      Volume: A85 Pages: 042303

    • DOI

      10.1103/PhysRevA.85.042303

    • Peer Reviewed
  • [Journal Article] Simulating typical entanglement with many-body Hamiltonian dynamics2011

    • Author(s)
      Y. Nakata and M. Murao
    • Journal Title

      Phys. Rev

      Volume: A84 Pages: 052321

    • DOI

      10.1103/PhysRevA.84.052321

    • Peer Reviewed
  • [Journal Article] Quantum computation over the butterfly network2011

    • Author(s)
      A. Soeda, Y. Kinjo, P. S. Turner and M. Murao
    • Journal Title

      Phys. Rev

      Volume: A84 Pages: 012333

    • DOI

      10.1103/PhysRevLett.107.180501

    • Peer Reviewed
  • [Journal Article] Entanglement cost of implementing controlled-unitary operations2011

    • Author(s)
      A. Soeda, P. S. Turner, M. Murao
    • Journal Title

      Phys. Rev. Lett

      Volume: 107 Pages: 180501

    • DOI

      10.1103/PhysRevLett.107.180501

    • Peer Reviewed
  • [Journal Article] Two-party LOCC convertibility of quadpartite states and Kraus-Cirac number of two-qubit unitaries

    • Author(s)
      A. Soeda, S. Akibue and M. Murao
    • Journal Title

      J Phys. A special issue

      Volume: (accepted for publication)

    • Peer Reviewed
  • [Presentation] Causal order manipulation in quantum computation, Japan-France Laboratories of Informatics (JFLI) Quantum Information, Interaction and Causal Structure2014

    • Author(s)
      M. Murao, J. Miyazaki, H. Hajdusek, K. Nakago and S. Nakayama
    • Place of Presentation
      国立情報学研究所(東京)
    • Year and Date
      2014-03-04
    • Invited
  • [Presentation] Implementing controlled-unitary operations over the butterfly, grail and cluster networks with free classical communication2014

    • Author(s)
      S. Akibue and M. Murao
    • Organizer
      The 17th Conference on Theoretical Aspects of Quantum Computing, Quantum Cryptography, and Quantum Information (QIP2014)
    • Place of Presentation
      スペイン(バルセロナ)
    • Year and Date
      2014-02-03
  • [Presentation] Causal order manipulation in adiabatic and measurement-based quantum computation2013

    • Author(s)
      M. Murao, J. Miyazaki, H. Hajdusek, K. Nakago and S. Nakayama
    • Organizer
      Workshop on Quantum Metrology, Interaction and Causal Structure
    • Place of Presentation
      北京(中国)
    • Year and Date
      2013-12-12
    • Invited
  • [Presentation] Universal construction of controlled-unitary gate for unknown Hamiltonian dynamics2012

    • Author(s)
      M. Murao
    • Organizer
      International Workshop on Cooperative Quantum Dynamics and Its Control (CQDC'12)
    • Place of Presentation
      ユーリッヒ(ドイツ)
    • Year and Date
      2012-10-31
    • Invited
  • [Presentation] Implementing controlled-unitary operations over the butterfly network2012

    • Author(s)
      S. Akibue and M. Murao
    • Organizer
      The 11th international Conference on Quantum Communication, Measurement and Computing (QCMC2012)
    • Place of Presentation
      ウィーン(オーストリア)
    • Year and Date
      2012-08-02
  • [Presentation] Simulating typical entanglement with many-body Hamiltonian dynamics2011

    • Author(s)
      M. Murao
    • Organizer
      International Workshop on Simulation and Manipulation of Quantum Systems for Information Processing (SMQS-IP2011)
    • Place of Presentation
      ユーリッヒ(ドイツ)
    • Year and Date
      2011-10-18
    • Invited
  • [Presentation] Structural characterization of graph states for processing quantum information2011

    • Author(s)
      M. Murao
    • Organizer
      The 11th Asian Quantum Information Science Conference (AQIS 2011)
    • Place of Presentation
      プサン(韓国)
    • Year and Date
      2011-08-24
    • Invited
  • [Presentation] "Globalness" of unitary oeprations on quantum information2011

    • Author(s)
      M. Murao
    • Organizer
      The sixth Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC2011)
    • Place of Presentation
      マドリッド(スペイン)
    • Year and Date
      2011-05-24
    • Invited
  • [Remarks]

    • URL

      http://www.eve.phys.s.u-tokyo.ac.jp

  • [Patent(Industrial Property Rights)] マルチキャスト量子ネットワーク符号化方法2013

    • Inventor(s)
      加藤豪, 尾張正樹, 村尾美緒
    • Industrial Property Rights Holder
      日本電信電話株式会社, 国立大学法人東京大学
    • Industrial Property Rights Type
      特許
    • Industrial Property Number
      特願2013-069470
    • Filing Date
      2013-03-28
  • [Patent(Industrial Property Rights)] バタフライネットワーク上でのマルチキャスト量子ネットワーク符号化方法2012

    • Inventor(s)
      尾張正樹, 加藤豪, 村尾美緒
    • Industrial Property Rights Holder
      日本電信電話株式会社, 国立大学法人東京大学
    • Industrial Property Rights Type
      特許
    • Industrial Property Number
      特願2012-069415
    • Filing Date
      2012-03-26

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Published: 2015-07-16  

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