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Multi-user type quantum network(Fostering Joint International Research)

Research Project

Project/Area Number 15KK0007
Research Category

Fund for the Promotion of Joint International Research (Fostering Joint International Research)

Allocation TypeMulti-year Fund
Research Field Communication/Network engineering
Research InstitutionNagoya University

Principal Investigator

Hayashi Masahito  名古屋大学, 多元数理科学研究科, 教授 (40342836)

Project Period (FY) 2016 – 2019
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥11,700,000 (Direct Cost: ¥9,000,000、Indirect Cost: ¥2,700,000)
Keywords測定型量子計算 / グラフ状態 / 自己検証 / 有意水準 / 誤り訂正 / 精度保証 / トポロジカル表面符号 / fault-tolerant型量子計算 / 仮説検定
Outline of Final Research Achievements

In this study, based on the obtained result for a multi-user type quantum network, I studied a method for quantum computation with self-verification. For this aim, I focused on measurement-based quantum computation, which is composed of local measurement and a large entangled state, e.g., a graph state and a hypergraph state. Hence, I studied verification of pure states including graph states and hypergraph states under various formulations. Especially, for self precision-guaranteed quantum computation, I proposed a method for self-verification for triangle cluster state, which is a typical example of a graph state. Based on this method, I proposed a self precision-guaranteed method for quantum computation.

Academic Significance and Societal Importance of the Research Achievements

近年、量子計算に関する研究の機運が高まっている.しかし,量子計算はノイズに弱いため,正しく所望の動作が物理的になされているか検証する必要がある.一般に,得られた計算結果だけから,その正しさを検証することは困難である.しかし,測定型量子計算の場合,その計算プロセスは,局所操作と形が決まっている巨大なエンタングル状態の組み合わせで得られる.したがって,局所操作と巨大なエンタングル状態の双方について検証を行えば,検証が可能となる.このような方法で検証を行うことで,量子計算の計算結果の信頼性を保証することができる.

Report

(5 results)
  • 2019 Annual Research Report   Final Research Report ( PDF )
  • 2018 Research-status Report
  • 2017 Research-status Report
  • 2016 Research-status Report
  • Research Products

    (36 results)

All 2020 2019 2018 2017 2016

All Int'l Joint Research (3 results) Journal Article (10 results) (of which Int'l Joint Research: 6 results,  Peer Reviewed: 10 results,  Open Access: 3 results) Presentation (22 results) (of which Int'l Joint Research: 21 results,  Invited: 12 results) Funded Workshop (1 results)

  • [Int'l Joint Research] 南方科技大学(中国)2019

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] 南方科技大学(中国)2018

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] シンガポール国立大学(シンガポール)2016

    • Related Report
      2019 Annual Research Report
  • [Journal Article] Efficient Verification of Pure Quantum States in the Adversarial Scenario2020

    • Author(s)
      H. Zhu and M. Hayashi
    • Journal Title

      Physical Review Letters

      Volume: 123 Issue: 26 Pages: 260504-260504

    • DOI

      10.1103/physrevlett.123.260504

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Optimal verification of two-qubit pure states2019

    • Author(s)
      K. Wang and M. Hayashi
    • Journal Title

      Physical Review A

      Volume: 100 Issue: 3 Pages: 032315-032315

    • DOI

      10.1103/physreva.100.032315

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Optimal verification and fidelity estimation of maximally entangled states2019

    • Author(s)
      H. Zhu and M. Hayashi
    • Journal Title

      Physical Review A

      Volume: 99 Issue: 5 Pages: 052346-052346

    • DOI

      10.1103/physreva.99.052346

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] General framework for verifying pure quantum states in the adversarial scenario2019

    • Author(s)
      H. Zhu and M. Hayashi
    • Journal Title

      Physical Review A

      Volume: 100 Issue: 6 Pages: 062335-062335

    • DOI

      10.1103/physreva.100.062335

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Efficient verification of hypergraph states2019

    • Author(s)
      H. Zhu and M. Hayashi
    • Journal Title

      Physical Review Applied

      Volume: 12 Issue: 5 Pages: 054047-054047

    • DOI

      10.1103/physrevapplied.12.054047

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Verifying commuting quantum computations via fidelity estimation of weighted graph states2019

    • Author(s)
      M. Hayashi and Y. Takeuchi,
    • Journal Title

      New Journal of Physics

      Volume: 21 Issue: 9 Pages: 093060-093060

    • DOI

      10.1088/1367-2630/ab3d88

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Quantum computational universality of hypergraph states with pauli-X and Z basis measurements2019

    • Author(s)
      Yuki Takeuchi, Tomoyuki Morimae and Masahito Hayashi
    • Journal Title

      Scientific Reports

      Volume: 9 Issue: 1 Pages: 13585-13585

    • DOI

      10.1038/s41598-019-49968-3

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Self-guaranteed measurement-based blind quantum computation2018

    • Author(s)
      Masahito Hayashi and Michal Hajdusek
    • Journal Title

      Physical Review A

      Volume: 97 Issue: 5 Pages: 052308-052308

    • DOI

      10.1103/physreva.97.052308

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Verification of hypergraph states2017

    • Author(s)
      Tomoyuki Morimae, Yuki Takeuchi, and Masahito Hayashi
    • Journal Title

      PHYSICAL REVIEW A

      Volume: 96 Issue: 6 Pages: 062321-062321

    • DOI

      10.1103/physreva.96.062321

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Verifiable fault tolerance in measurement-based quantum computation2017

    • Author(s)
      Keisuke Fujii and Masahito Hayashi
    • Journal Title

      PHYSICAL REVIEW A

      Volume: 96 Issue: 3

    • DOI

      10.1103/physreva.96.030301

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Presentation] Efficient Verification of Pure Quantum States in the Adversarial Scenario2020

    • Author(s)
      H. Zhu and M. Hayashi
    • Organizer
      Quantum Information Processing 2020 (QIP)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Verification of Graph state, Hypergraph state, and Weighted graph state2019

    • Author(s)
      M. Hayashi
    • Organizer
      Beyond iid Conference
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Verification of commuting quantum computations via fidelity estimation of weighted graph states2019

    • Author(s)
      M. Hayashi
    • Organizer
      Mini-Workshop on Quantum Verification
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Verification of commuting quantum computations via fidelity estimation of weighted graph states2019

    • Author(s)
      M. Hayashi
    • Organizer
      Quantum information and string theory 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Optimal Mechanism for Randomized Responses under Universally Composable Security Measure2019

    • Author(s)
      Yuuya Yoshida, Man-Hong Yung and Masahito Hayashi
    • Organizer
      IEEE International Symposium on Information Theory (ISIT2019)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Finite-length security analysis in quantum key distribution2019

    • Author(s)
      Masahito Hayashi
    • Organizer
      中国電子学会2019量子信息技術学術交流大会
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] Various security in quantum information2019

    • Author(s)
      Masahito Hayashi
    • Organizer
      Nagoya-SUSTech Quantum Information Workshop
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Asymptotic decoupling property, mixing condition and Hidden Markovian Process in quantum system2019

    • Author(s)
      Masahito Hayashi
    • Organizer
      Mathematical Aspects in Current Quantum Information Theory
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Discrimination in general probability theory2019

    • Author(s)
      Masahito Hayashi
    • Organizer
      Interactions between Noncommutative Analysis and Quantum Information Theory
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Semi-Finite Length Analysis for Secure Random Number Generation2019

    • Author(s)
      Masahito Hayashi
    • Organizer
      2019 IEEE International Symposium on Information Theory
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Secure list decoding2019

    • Author(s)
      Masahito Hayashi
    • Organizer
      2019 IEEE International Symposium on Information Theory
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Quantum network coding2019

    • Author(s)
      Masahito Hayashi
    • Organizer
      Summer Workshop on Quantum Algorithm and Quantum Software
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Quantum Private Information Retrieval2019

    • Author(s)
      Masahito Hayashi
    • Organizer
      the 2019 workshop on probability and information theory
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Optimal Mechanism for Randomized Responses under Universally Composable Security Measure2019

    • Author(s)
      Yuuya Yoshida, Man-Hong Yung, and Masahito Hayashi
    • Organizer
      2019 IEEE International Symposium on Information Theory
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Measurement-Based Quantum Computation and Its Verification2018

    • Author(s)
      Masahito Hayashi
    • Organizer
      Second Hong Kong-Shenzhen Workshop on Quantum Information Science
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Verification of Measurement-Based Quantum Computation2017

    • Author(s)
      Masahito Hayashi
    • Organizer
      IHP conference on Quantum Information Theory
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Verification of Measurement-Based Quantum Computation2017

    • Author(s)
      Masahito Hayashi
    • Organizer
      International Workshop on Quantum Computing and Quantum Information Processing 2017
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Role of Hypothesis Testing in Quantum Information Theory2017

    • Author(s)
      Masahito Hayashi
    • Organizer
      Asian Conference on Quantum Information Science (AQIS 17)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Verification of Measurement-Based Quantum Computation2017

    • Author(s)
      Masahito Hayashi
    • Organizer
      Trustworthy Quantum Information,
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Self-guaranteed measurement-based quantum computation2017

    • Author(s)
      Masahito Hayashi and Michal Hajdusek
    • Organizer
      Asian Conference on Quantum Information Science (AQIS 17)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Verifiable fault-tolerance in measurement-based quantum computation2017

    • Author(s)
      Keisuke Fujii and Masahito Hayashi
    • Organizer
      Asian Conference on Quantum Information Science (AQIS 17)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Self-guaranteed measurement-based quantum computation2016

    • Author(s)
      Masahito Hayashi and Michal Hajdusek
    • Organizer
      The International Conference on Quantum Communication, Measurement and Computing (QCMC2016)
    • Place of Presentation
      Singapore
    • Year and Date
      2016-07-04
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Funded Workshop] Nagoya-SUSTech Quantum Information Workshop2019

    • Related Report
      2019 Annual Research Report

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Published: 2016-10-04   Modified: 2021-02-19  

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