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Identification and full control of high-dimensional quantum many body system under limited access

Research Project

Project/Area Number 26400400
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionOsaka City University

Principal Investigator

Maruyama Koji  大阪市立大学, 大学院理学研究科, 客員准教授 (00425646)

Co-Investigator(Kenkyū-buntansha) 加藤 豪  日本電信電話株式会社NTTコミュニケーション科学基礎研究所, メディア情報研究部, 主任研究員 (20396188)
尾張 正樹  静岡大学, 情報学部, 准教授 (80723444)
Project Period (FY) 2014-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Keywords量子制御 / 数理物理 / 量子コンピュータ / 量子システム同定 / 量子制御理論 / 限定アクセス / 制限アクセス / ジョルダン代数 / 量子情報 / 情報統計力学
Outline of Final Research Achievements

We have found that even if the direct access is restricted to a small subsystem (S) and the pre-knowledge on the entire system is severely limited, there is a possible method to identify the hamiltonian H_{SE} that governs the global system dynamics. In addition, we have clarified there could be 'equivalence classes', each of which contains infinitely many distinct sets of the system hamiltonian and the state that should give identical observable effect on S.
We then have further studied the fundamental structures of the dynamical Lie algebra and the Hilbert space under the condition of restricted direct access. It turned out that there is a clear distinction between the cases of d_S=2 and d_S=>3, where d_S is the dimension of the accessible subsystem S. While the algebra is always su(*) in subspaces when d_S=>3, it is not necessarily the case when d_S=2. The structure we revealed clearly explains the nature of the equivalence class in terms of controllability and observability.

Report

(5 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (21 results)

All 2018 2017 2016 2015 2014

All Journal Article (6 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 5 results,  Open Access: 1 results,  Acknowledgement Compliant: 2 results) Presentation (11 results) (of which Int'l Joint Research: 5 results,  Invited: 7 results) Book (4 results)

  • [Journal Article] 「アンタッチャブル」な量子系の間接制御2018

    • Author(s)
      丸山耕司,加藤豪
    • Journal Title

      日本物理学会誌

      Volume: 73 Pages: 134-142

    • NAID

      40021484499

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Single-shot secure quantum network coding on butterfly network with free public communication2017

    • Author(s)
      Masaki Owari,Go Kato, and Masahito Hayashi
    • Journal Title

      Quantum Science and Technology

      Volume: 3 Issue: 1 Pages: 014001-014001

    • DOI

      10.1088/2058-9565/aa8ac4

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Secrecy and robustness for active attack in secure network coding2017

    • Author(s)
      Hayashi Masahito、Owari Masaki、Kato Go、Cai Ning
    • Journal Title

      Proceedings of 2017 IEEE International Symposium on Information Theory (ISIT)

      Volume: 1 Pages: 1172-1176

    • DOI

      10.1109/isit.2017.8006713

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] エントロピーの認識論的理解2016

    • Author(s)
      丸山耕司
    • Journal Title

      数理科学

      Volume: 635 Pages: 37-42

    • Related Report
      2016 Research-status Report
  • [Journal Article] Operational derivation of Maxwell-Boltzmann distribution with Maxwell’s demon2015

    • Author(s)
      A. Hosoya, K. Maruyama, and Y. Shikano
    • Journal Title

      Scientific Reports

      Volume: 5 Issue: 1 Pages: 17011-17011

    • DOI

      10.1038/srep17011

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Probing an untouchable environment for its identification and control2015

    • Author(s)
      Masaki Owari, Koji Maruyama, Takeji Takui, and Go Kato
    • Journal Title

      Physical Review A

      Volume: 91 Issue: 1 Pages: 0123431-20

    • DOI

      10.1103/physreva.91.012343

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] Hilbert space structure induced by limited access to quantum system2017

    • Author(s)
      丸山耕司
    • Organizer
      OIST Workshop on quantum control
    • Place of Presentation
      沖縄科学技術大学院大学(沖縄県国頭郡恩納村)
    • Year and Date
      2017-03-22
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Aggregating quantum repeaters for the quantum internet2017

    • Author(s)
      加藤豪
    • Organizer
      Quantum Information Technology Workshop (Annual Meeting 2017)
    • Place of Presentation
      JST東京本部別館(東京都千代田区)
    • Related Report
      2016 Research-status Report
  • [Presentation] セキュア量子ネットワーク符号2016

    • Author(s)
      尾張正樹
    • Organizer
      量子情報と有限長理論の新展開
    • Place of Presentation
      名古屋大学(愛知県名古屋市千種区)
    • Year and Date
      2016-08-03
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] Classical communication without causal order2016

    • Author(s)
      尾張正樹
    • Organizer
      The International Conference on Quantum Communication, Measurement and Computing
    • Place of Presentation
      シンガポール国立大学(シンガポール)
    • Year and Date
      2016-07-04
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Hamiltonian identification under limited access with minimal pre-knowledge2016

    • Author(s)
      Koji Maruyama
    • Organizer
      Workshop on Recent Topics in Quantum Information Science
    • Place of Presentation
      Adam Mickiewicz University, Poznan, Poland
    • Year and Date
      2016-01-08
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Hamiltonian identification under limited access with minimal pre-knowledge2015

    • Author(s)
      Koji Maruyama
    • Organizer
      Workshop on quantum information processing and quantum control
    • Place of Presentation
      CNRS-Telecom Paris Tech, INFRES, Paris, France
    • Year and Date
      2015-11-05
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Tight Asymptotic Bounds on Local Hypothesis Testing Between a Pure Bipartite State and the White Noise State2015

    • Author(s)
      Masaki Owari
    • Organizer
      2015 IEEE International Symposium on Information Theory (ISIT 2015)
    • Place of Presentation
      Hong Kong Convention and Exhibition Centre, 香港
    • Year and Date
      2015-06-14
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Hamiltonian identification under limited access with minimal pre-knowledge2015

    • Author(s)
      丸山耕司
    • Organizer
      Quantum Control of Light and Matter
    • Place of Presentation
      沖縄科学技術大学院大学, 沖縄県国頭郡恩納村
    • Year and Date
      2015-01-14 – 2015-01-16
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Probing an untouchable environment as a resource for quantum computing2015

    • Author(s)
      加藤豪
    • Organizer
      Quantum Information Processing 2015
    • Place of Presentation
      University of Technology Sydney, Australia
    • Year and Date
      2015-01-12 – 2015-01-16
    • Related Report
      2014 Research-status Report
  • [Presentation] Probing an untouchable environment for its identification and control2014

    • Author(s)
      尾張正樹
    • Organizer
      Workshop “Mathematical and Physical Aspects of Interacting Quantum Systems and Models”
    • Place of Presentation
      九州大学, 福岡県福岡市
    • Year and Date
      2014-10-22 – 2014-10-23
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] System identification under limited access with minimal pre-knowledge2014

    • Author(s)
      丸山耕司
    • Organizer
      Quantum Control Engineering: Mathematical Principles and Applications
    • Place of Presentation
      Issac Newton Institute, Cambridge, UK
    • Year and Date
      2014-08-10 – 2014-08-16
    • Related Report
      2014 Research-status Report
    • Invited
  • [Book] Electron Spin Resonance (ESR) Based Quantum Computing2016

    • Author(s)
      Koji Maruyama and Daniel Burgarth
    • Total Pages
      26
    • Publisher
      Springer
    • Related Report
      2016 Research-status Report
  • [Book] 数理科学(5月号)「エントロピーの認識論的理解」2016

    • Author(s)
      丸山耕司
    • Total Pages
      6
    • Publisher
      サイエンス社
    • Related Report
      2015 Research-status Report
  • [Book] Electron Spin Quantum Computing: Electron Spin-Qubit Based Quantum Computing and Quantum Information Processing 312015

    • Author(s)
      Koji Maruyama and Daniel Burgarth
    • Total Pages
      32
    • Publisher
      Springer
    • Related Report
      2014 Research-status Report
  • [Book] Quantum Computing, Quantum Communication and Quantum Metrology2015

    • Author(s)
      S. Nakazawa, S. Nishida, K. Sato, K. Toyota, D. Shiomi, Y. Morita, K. Sugisaki, E. Hosseini, K. Maruyama, S. Yamamoto, M. Kitagawa, and T. Takui
    • Total Pages
      46
    • Publisher
      Springer-Verlag
    • Related Report
      2014 Research-status Report

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Published: 2014-04-04   Modified: 2019-03-29  

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