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Investigation of paradoxical quantum correlation with weak measurement of photon polarization

Research Project

Project/Area Number 24540428
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Atomic/Molecular/Quantum electronics
Research InstitutionHiroshima University

Principal Investigator

IINUMA Masataka  広島大学, 先端物質科学研究科, 助教 (00294512)

Co-Investigator(Renkei-kenkyūsha) HOFMANN Holger F.  広島大学, 大学院先端物質科学研究科, 准教授 (90379909)
Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2013: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2012: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywords量子測定 / 偏光 / 結合確率 / 逆説的量子相関 / 測定の強さ可変測定 / 非可換物理量 / 連続測定 / 測定誤差 / 弱測定 / もつれ合い光子対 / 複素結合確率 / 光子 / 光子対 / 変形サニャック干渉計 / 弱値
Outline of Final Research Achievements

We have realized a sequential quantum measurement of non-commuting observables in photon polarization and achieved following results in this project. One is to obtain intrinsic joint probability distribution of initial quantum state at any measurement strength from weak to strong regime, which is the probability distribution without the influence of the measurement process. It was realized by evaluating error probabilities due to the apparatus. One of obtained joint probabilities results in negative, but they are consistent with predictions. The Second is to obtain the joint probabilities with complex numbers by upgrading the apparatus to being sensitive to a quantum phase. Furthermore, we firstly evaluated measurement error in optimization and found that non-classical correlation between initial and final results reduces the error to zero in principle. These results are directly applicable to experiments to photon pairs.

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (28 results)

All 2015 2014 2013 2012 Other

All Journal Article (2 results) (of which Peer Reviewed: 2 results) Presentation (22 results) (of which Invited: 2 results) Remarks (4 results)

  • [Journal Article] Reinterpretations of an experiment on the backaction in a weak measurement2013

    • Author(s)
      Kouji Nakamura and Masataka Iinuma
    • Journal Title

      Physical Review A

      Volume: 88 Issue: 4 Pages: 42106-42106

    • DOI

      10.1103/physreva.88.042106

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Violation of Leggett-Garg inequalities in quantum measurements with variable resolution and back-action2012

    • Author(s)
      Y. Suzuki, M. Iinuma, H. F. Hofmann
    • Journal Title

      New Journal of Physics

      Volume: 14 Issue: 10 Pages: 103022-103022

    • DOI

      10.1088/1367-2630/14/10/103022

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] Non-classical correlation between intermediate and final results in a two-level system2015

    • Author(s)
      M. Iinuma, Y. Suzuki, T. Nii, R. Kinoshita, Holger F. Hofmann
    • Organizer
      International workshop on weak value and weak measurement
    • Place of Presentation
      Tokyo Institute of Technology, Tokyo, Japan
    • Year and Date
      2015-03-19 – 2015-03-20
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Non-classical correlation between measurement errors and back-action effects in quantum measurement of photon polarization2014

    • Author(s)
      M.Iinuma, Y. Suzuki, T. Nii, R. Kinoshita, Holger F. Hofmann
    • Organizer
      Quatnum Information Technology Symposium(QIT31)
    • Place of Presentation
      Tohoku University, Sendai, Japan
    • Year and Date
      2014-11-17 – 2014-11-18
    • Related Report
      2014 Annual Research Report
  • [Presentation] Optical investigation of complex joint probabilities via sequential measurements2014

    • Author(s)
      Y. Suzuki, M. Iinuma, R. Kinoshita, M. Miyamoto, H. F. Hofmann
    • Organizer
      Asian Quantum Information Sciences 2014
    • Place of Presentation
      Kyoto University, Kyoto, Japan
    • Year and Date
      2014-08-20 – 2014-08-24
    • Related Report
      2014 Annual Research Report
  • [Presentation] Physical meaning and experimental evaluation of error and disturbance in a two-level system2014

    • Author(s)
      M.Iinuma, Y. Suzuki, T. Nii, R. Kinoshita, Holger F. Hofmann
    • Organizer
      Asian Quatum Information Science 2014
    • Place of Presentation
      Kyoto University, Kyoto, Japan
    • Year and Date
      2014-08-20
    • Related Report
      2014 Annual Research Report
  • [Presentation] Reconstruction of the complex joint probabilities for sequential measurements of photon polarization2014

    • Author(s)
      Y. Suzuki, M. Iinuma, R. Kinoshita, H. F. Hofmann
    • Organizer
      21th Central European Workshop on Quamtum Optics
    • Place of Presentation
      Palace of the Royal Academies for Science and the Arts, Brussels, Belgium
    • Year and Date
      2014-06-23 – 2014-06-27
    • Related Report
      2014 Annual Research Report
  • [Presentation] Experimental evaluation of measurement error and disturbance in a two-level system2014

    • Author(s)
      M. Iinuma, Y. Suzuki, R. Kinoshita, H. F. Hofmann
    • Organizer
      21th Central European Workshop on Quamtum Optics
    • Place of Presentation
      Palace of the Royal Academies for Science and the Arts, Brussels, Belgium
    • Year and Date
      2014-06-23 – 2014-06-27
    • Related Report
      2014 Annual Research Report
  • [Presentation] Experimental reconstruction of complex joint probabilities for arbitrary photon polarization via sequential measurements of non-commuting observables2014

    • Author(s)
      Y. Suzuki, M. Iinuma, R. Kinoshita, H. F. Hofmann
    • Organizer
      Quantum [Un]Speakables Ⅱ
    • Place of Presentation
      University of Vienna, Vienna, Austria
    • Year and Date
      2014-06-19 – 2014-06-22
    • Related Report
      2014 Annual Research Report
  • [Presentation] Experimental evaluation of error and disturbance of Ozawa's inequality in two level systems2014

    • Author(s)
      M. Iinuma, Y. Suzuki, R. Kinoshita, H. F. Hofmann
    • Organizer
      Quantum [Un]Speakables Ⅱ
    • Place of Presentation
      University of Vienna, Vienna, Austria
    • Year and Date
      2014-06-19 – 2014-06-22
    • Related Report
      2014 Annual Research Report
  • [Presentation] 二準位系でのOzawaの不等式の誤差と擾乱2014

    • Author(s)
      飯沼昌隆、鈴木佑太朗、木下竜二、ホフマンホルガ
    • Organizer
      日本物理学会 第69回年次大会
    • Place of Presentation
      平塚市(東海大学)
    • Related Report
      2013 Research-status Report
  • [Presentation] 偏光の連続測定による複素結合確率分布の再構築2014

    • Author(s)
      鈴木佑太朗、飯沼昌隆、木下竜二、ホフマンホルガ
    • Organizer
      日本物理学会 第69回年次大会
    • Place of Presentation
      平塚市(東海大学)
    • Related Report
      2013 Research-status Report
  • [Presentation] Measurements of negative probabilities in optical quantum system2014

    • Author(s)
      Masataka Iinuma, Yutaro Suzuki, and Holger F. Hofmann
    • Organizer
      8th IWNC
    • Place of Presentation
      Hiroshima (Hiroshima YMCA)
    • Related Report
      2013 Research-status Report
  • [Presentation] Experimental evaluation of measurement error and disturbance of Ozawa's inequality in two level systems2013

    • Author(s)
      飯沼昌隆、鈴木佑太朗、木下竜二、ホフマンホルガ
    • Organizer
      第29回量子情報技術研究会
    • Place of Presentation
      新宿区(早稲田大学)
    • Related Report
      2013 Research-status Report
  • [Presentation] Experimental investigation of complex joint probabilities using sequential polarization measurements with arbitrary intermediate measurement2013

    • Author(s)
      鈴木佑太朗、飯沼昌隆、木下竜二、ホフマンホルガ
    • Organizer
      第29回量子情報技術研究会
    • Place of Presentation
      新宿区(早稲田大学)
    • Related Report
      2013 Research-status Report
  • [Presentation] Investigation for experimental verification of complex joint probabilities for photon polarization2013

    • Author(s)
      Masataka Iinuma, Yutaro Suzuki, Ryuji Kinoshita, and Holger F. Hofmann
    • Organizer
      NSTEP
    • Place of Presentation
      Osaka (ISIR, Osaka University)
    • Related Report
      2013 Research-status Report
  • [Presentation] Joint quantum statistics with negative probability observed in a sequential measurement of photon polarization2013

    • Author(s)
      Yutaro Suzuki, Masataka Iinuma, Ryuji Kinoshita, and Holger F. Hofmann
    • Organizer
      NSTEP
    • Place of Presentation
      Osaka (ISIR, Osaka University)
    • Related Report
      2013 Research-status Report
  • [Presentation] 弱測定の物理的本質と有用性2013

    • Author(s)
      飯沼昌隆
    • Organizer
      第10回原子・分子・光化学(AMO)討論会
    • Place of Presentation
      調布市(電気通信大学)
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] サニャック干渉計を利用した偏光の弱測定装置の構築2013

    • Author(s)
      飯沼昌隆、岡崎智徳、鈴木佑太朗、木下竜二、ホフマン・ホルガ
    • Organizer
      日本物理学会 第68回 年次大会
    • Place of Presentation
      東広島市(広島大学)
    • Related Report
      2012 Research-status Report
  • [Presentation] 偏光の連続測定にみる測定の不確定性がない結合量子統計2012

    • Author(s)
      鈴木佑太朗、飯沼昌隆、ホフマン・ホルガ
    • Organizer
      第27回 量子情報技術研究会
    • Place of Presentation
      横浜市港北区(慶應義塾大学)
    • Related Report
      2012 Research-status Report
  • [Presentation] 偏光の連続測定による結合確率分布の導出2012

    • Author(s)
      飯沼昌隆、鈴木佑太朗、ホフマン・ホルガ
    • Organizer
      RIMS研究会 量子論における統計的推測の理論と応用
    • Place of Presentation
      京都市左京区(京都大学)
    • Related Report
      2012 Research-status Report
  • [Presentation] Experimental observation of paradoxical correlation in sequential measurements of photon polarization2012

    • Author(s)
      Masataka Iinuma, Yutarou Suzuki, Holger F. Hofmann
    • Organizer
      Asian Quantum Information Science Conference 2012 ( AQIS 2012 )
    • Place of Presentation
      Suzhou (Suzhou Conference Center ), China
    • Related Report
      2012 Research-status Report
  • [Presentation] Experimental demonstration of Leggett-Garg inequality violations by measurements with high resolution and back-action2012

    • Author(s)
      Yutaro Suzuki, Masataka Iinuma, Holger F. Hofmann
    • Organizer
      11th Conference on Quantum communication, Measurement, and Computing ( QCMC 2012 )
    • Place of Presentation
      Vienna ( Vienna University of Technology ), Austria
    • Related Report
      2012 Research-status Report
  • [Presentation] Measurement uncertainty of optical quantum measurement2012

    • Author(s)
      Masataka Iinuma
    • Organizer
      Mini-workshop on Delevlopment of weak measurement and weak value
    • Place of Presentation
      東京都目黒区(東京工業大学)
    • Related Report
      2012 Research-status Report
  • [Remarks] Quantum Frontier Group home page

    • URL

      http://home.hiroshima-u.ac.jp/qfg/qfg/index.html

    • Related Report
      2014 Annual Research Report
  • [Remarks] 高エネルギー物理学研究室ホームページ

    • URL

      http://www.huhep.org/Home/weak_measurement

    • Related Report
      2014 Annual Research Report
  • [Remarks] 高エネルギー物理学研究室

    • URL

      http://www.huhep.org

    • Related Report
      2013 Research-status Report
  • [Remarks] 高エネルギー物理学研究室

    • URL

      http://www.huhep.org

    • Related Report
      2012 Research-status Report

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Published: 2013-05-31   Modified: 2019-07-29  

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