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2012 Fiscal Year Final Research Report

Structure of informationally complete positive operator valued measures on quantum systems

Research Project

  • PDF
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
Keywords作用素環 / 量子系 / 量子情報理論
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.

  • Research Products

    (7 results)

All 2013 2012 2011

All Journal Article (1 results) (of which Peer Reviewed: 1 results) Presentation (6 results)

  • [Journal Article] Entanglement of marginal tracial states2013

    • Author(s)
      Hiromichi Ohno
    • Journal Title

      Banach and Function spaces IV

      Volume: (in press)

    • 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
    • Year and Date
      20130204-06
  • [Presentation] POVMs on quantum systems2012

    • Author(s)
      Hiromichi Ohno
    • Organizer
      Quantum Information Theory and Its Applications
    • Place of Presentation
      立命館大学
    • Year and Date
      20121213-15
  • [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
    • Year and Date
      20121112-14
  • [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
    • Year and Date
      20120912-15
  • [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
    • Year and Date
      20120314-15
  • [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
    • Year and Date
      20111117-18

URL: 

Published: 2014-08-29   Modified: 2014-10-09  

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