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Structure of informationally complete positive operator valued measures on quantum systems

Research Project

Project/Area Number 23740120
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Global analysis
Research InstitutionShinshu University

Principal Investigator

OHNO Hiromichi  信州大学, 工学部, 准教授 (90554585)

Project Period (FY) 2011 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Keywords作用素環 / 量子系 / 量子情報理論 / 条件付きSIC-POVM / 国際情報交換 / 国際情報交流(ハンガリー)
Research Abstract

A positive operator valued measure (POVM) is a measurement in the quantum information theory. An informationally complete POVM allows one to estimate the expectation value of any arbitrary operator. In the present study, we construct some examples of informationally complete POVMs and we show that there exists an operator space which does not have a good informationally complete POVM.

Report

(3 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Research-status Report
  • Research Products

    (13 results)

All 2013 2012 2011

All Journal Article (2 results) (of which Peer Reviewed: 2 results) Presentation (11 results)

  • [Journal Article] Entanglement of marginal tracial states2013

    • Author(s)
      Hiromichi Ohno
    • Journal Title

      Banach and Function spaces IV

      Volume: (in press)

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Entanglement of marginal tracial states2013

    • Author(s)
      Hiromichi Ohno
    • Journal Title

      Banach and Function Spaces

      Volume: 4

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Presentation] 条件付きSIC-POVM2013

    • Author(s)
      大野博道
    • Organizer
      RIMS研究集会「量子化と作用素論」
    • Place of Presentation
      京都大学
    • Related Report
      2012 Final Research Report
  • [Presentation] 条件付きSIC-POVM2013

    • Author(s)
      大野 博道
    • Organizer
      RIMS研究集会「量子化と作用素環」
    • Place of Presentation
      京都大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] POVMs on quantum systems2012

    • Author(s)
      Hiromichi Ohno
    • Organizer
      Quantum Information Theory and Its Applications
    • Place of Presentation
      立命館大学
    • Related Report
      2012 Final Research Report
  • [Presentation] Complementary subalgebras in matrix algebras2012

    • Author(s)
      大野博道
    • Organizer
      RIMS研究集会「関数解析学による一般化エントロピーの新展 開」
    • Place of Presentation
      京都大学
    • Related Report
      2012 Final Research Report
  • [Presentation] Entanglement of marginal tracial states2012

    • Author(s)
      Hiromichi Ohno
    • Organizer
      The Forth International Symposium on Banach and Function Spaces 2012
    • Place of Presentation
      九州工業大学
    • Related Report
      2012 Final Research Report
  • [Presentation] Entanglement of marginal tracial states2012

    • Author(s)
      Hiromichi Ohno
    • Organizer
      Workshop on operator theory and operator algebras in Sendai
    • Place of Presentation
      東北大学
    • Related Report
      2012 Final Research Report
  • [Presentation] Entanglement of marginal tracial states2012

    • Author(s)
      Hiromichi Ohno
    • Organizer
      The Fourth International Symposium on BANACH and FUNCTION SPACES 2012
    • Place of Presentation
      九州工業大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] Complementary subalgebras in matrix algebras2012

    • Author(s)
      大野 博道
    • Organizer
      RIMS研究集会「函数解析学による一般化エントロピーの新展開 」
    • Place of Presentation
      京都大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] Entanglement of marginal tracial states2012

    • Author(s)
      Hiromichi Ohno
    • Organizer
      Workshop on Operator Theory and Operator Algebras in Sendai, 2012
    • Place of Presentation
      東北大学
    • Related Report
      2011 Research-status Report
  • [Presentation] 量子情報理論入門2011

    • Author(s)
      大野博道
    • Organizer
      立命館大学解析セミナー
    • Place of Presentation
      立命館大学
    • Related Report
      2012 Final Research Report 2011 Research-status Report
  • [Presentation] 局所トレース状態の端点について2011

    • Author(s)
      大野 博道
    • Organizer
      信州数理物理セミナー
    • Place of Presentation
      信州大学
    • Related Report
      2011 Research-status Report

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Published: 2011-08-05   Modified: 2019-07-29  

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