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Derivation of optimal quantum sequential measurement using convex programming

Research Project

Project/Area Number 17H07115
Research Category

Grant-in-Aid for Research Activity Start-up

Allocation TypeSingle-year Grants
Research Field Communication/Network engineering
Research InstitutionTamagawa University

Principal Investigator

NAKAHIRA Kenji  玉川大学, 量子情報科学研究所, 教授 (90804005)

Project Period (FY) 2017-08-25 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2018: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2017: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords量子測定 / 量子情報 / 量子光学 / 最適逐次測定
Outline of Final Research Achievements

Optimization of quantum sequential measurements is required for practical optical communications with quantum measurements. We have developed a widely applicable method to optimize sequential measurements. Specifically, we have first formulated the problem of obtaining a minimum-error sequential measurement as a convex programming problem, which enables an effective analysis. Next, we have derived a necessary and sufficient condition for optimality and have devised a numerical technique to compute an optimal solution. Moreover, these techniques have been extended to a large class of optimality criteria. We have obtained optimal sequential measurements for several sets of signals that had not been revealed by conventional methods.

Academic Significance and Societal Importance of the Research Achievements

光通信において従来の古典的な測定を用いて光信号を受信する代わりに量子測定と呼ばれる量子雑音にロバストな測定を用いると,原理的にはより高い通信性能が得られることが知られている。ただし,現在のテクノロジーで実用的な量子測定を実現するためには逐次測定と呼ばれる種類の測定に限定して設計を行う必要がある。本研究では,最適な逐次測定を求めるための問題を定式化して性能評価を行うための汎用的な手法を開発した。本成果は,現在のテクノロジーで実現可能な量子測定の設計に活用できる。

Report

(3 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Annual Research Report
  • Research Products

    (12 results)

All 2019 2018 2017

All Journal Article (6 results) (of which Peer Reviewed: 6 results,  Open Access: 2 results) Presentation (6 results) (of which Int'l Joint Research: 4 results)

  • [Journal Article] Local unambiguous discrimination of symmetric ternary states2019

    • Author(s)
      K. Nakahira, K. Kato, and T. S. Usuda
    • Journal Title

      Physical Review A

      Volume: 99 Issue: 2 Pages: 022316-022316

    • DOI

      10.1103/physreva.99.022316

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Optimal discrimination of symmetric quantum pure states except one and its application to near-optimal optical receivers2018

    • Author(s)
      K. Nakahira
    • Journal Title

      Tamagawa University Quantum ICT Research Institute Bulletin

      Volume: 8 Pages: 1-7

    • NAID

      40021887339

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Upper and lower bounds on optimal success probability of quantum state discrimination with and without inconclusive results2018

    • Author(s)
      K. Nakahira, T. S. Usuda, K. Kato
    • Journal Title

      Physical Review A

      Volume: 97 Issue: 1 Pages: 012103-012103

    • DOI

      10.1103/physreva.97.012103

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Optimal discrimination of optical coherent states cannot always be realized by interfering with coherent light, photon counting, and feedback2018

    • Author(s)
      K. Nakahira, K. Kato, T. S. Usuda
    • Journal Title

      Physical Review A

      Volume: 97 Issue: 2 Pages: 022320-022320

    • DOI

      10.1103/physreva.97.022320

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Generalized bipartite quantum state discrimination problems with sequential measurements2018

    • Author(s)
      K. Nakahira, K. Kato T. S. Usuda
    • Journal Title

      Physical Review A

      Volume: 97 Issue: 2 Pages: 022340-022340

    • DOI

      10.1103/physreva.97.022340

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Examples of deriving sequential measurements maximizing average success probabilities2018

    • Author(s)
      Kenji Nakahira, Kentaro Kato
    • Journal Title

      Tamagawa University Quantum ICT Research Institute Bulletin

      Volume: 7 Pages: 5-10

    • NAID

      40021589998

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Presentation] Maximizing α-order mutual Renyi information for group covariant SIC ensemble2018

    • Author(s)
      K. Sato, S. Takahira, K. Nakahira, T. S. Usuda
    • Organizer
      18th Asian Quantum Information Science Conference (AQIS)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Error performance of optimum quantum measurement in the presence of non-Gaussian noise and Gaussian noise2018

    • Author(s)
      T. Wang, K. Nakahira, T. S. Usuda
    • Organizer
      18th Asian Quantum Information Science Conference (AQIS)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Error performance and robustness of optimum quantum detection for MPSK signals in the presence of phase noise2018

    • Author(s)
      T. Wang, K. Nakahira, T. S. Usuda
    • Organizer
      2018 International Symposium on Information Theory and Its Applications (ISITA)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] SIC情報源に対するα次のアクセシブルRenyi情報量を達成するvon Neumann測定について2018

    • Author(s)
      佐藤圭介, 高比良宗一, 中平健治, 臼田毅
    • Organizer
      第41回情報理論とその応用シンポジウム
    • Related Report
      2018 Annual Research Report
  • [Presentation] Optimal unambiguous state discrimination with sequential measurement2018

    • Author(s)
      Kenji Nakahira, Kentaro Kato, Tsuyoshi Sasaki Usuda
    • Organizer
      The International Conference on Quantum Communication, Measurement and Computing (QCMC)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 逐次測定による量子信号の識別2017

    • Author(s)
      中平健治, 加藤研太郎, 臼田毅
    • Organizer
      第40回情報理論とその応用シンポジウム
    • Related Report
      2017 Annual Research Report

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Published: 2017-08-25   Modified: 2020-03-30  

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