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2014 Fiscal Year Annual Research Report

量子プロセスにおける非古典的な相関の生成と制御

Research Project

Project/Area Number 24540427
Research InstitutionHiroshima University

Principal Investigator

HOFMANN Holger・F  広島大学, 先端物質科学研究科, 准教授 (90379909)

Project Period (FY) 2012-04-01 – 2015-03-31
KeywordsNon-commutativity / Entanglement / Quantum processes / Quantum correlation / Weak values / Quantum measurement
Outline of Annual Research Achievements

In last years research, I investigated and developed several new strategies for the direct experimental observation of non-classical correlations between non-commuting physical properties. In addition to the already published results on quantum-controlled measurements, it was discovered that the Einstein-Podolsky-Rosen type correlations of maximally entangled states can be used to analyze the dynamics of measurement processes, so that correlations between measurement errors appear as imaginary contributions to the error probabilities in the final analysis. A more detailed analysis of measurement processes also revealed that the relation between microscopic and macroscopic quantities is described by entanglement, which resulted in the proposal of a new class of quantum states represented by a single photon frequency comb state, which combines microscopic properties in time and frequency with conjugate macroscopic properties in time and frequency.

This years research also resulted in many new questions regarding the practical aspects of quantum physics. In particular, my work is at the forefront of new developments in the explanation of quantum correlations by statistical models, with the first statistical approach that can actually identify causality in quantum mechanics based on experimentally feasible means of control. As a result, it has been possible to identify quantum paradoxes with specific quantum gate operations. Specific circuits such as the quantum-controlled swap are now being designed by experimental groups for the purpose of implementing these new ideas.

  • Research Products

    (16 results)

All 2015 2014

All Journal Article (3 results) (of which Peer Reviewed: 3 results,  Acknowledgement Compliant: 3 results,  Open Access: 2 results) Presentation (13 results) (of which Invited: 3 results)

  • [Journal Article] Simultaneous suppression of time and energy uncertainties in a single-photon frequency-comb state2014

    • Author(s)
      C. Ren and H. F. Hofmann
    • Journal Title

      Physical Review A

      Volume: 89 Pages: 053823 1-7

    • DOI

      10.1103/PhysRevA.89.053823

    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Sequential measurements of non-commuting observables with quantum controlled interactions2014

    • Author(s)
      H. F. Hofmann
    • Journal Title

      New Journal of Physics

      Volume: 16 Pages: 063056 1-13

    • DOI

      10.1088/1367-2630/16/6/063056

    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Derivation of quantum mechanics from a single fundamental modification of the relations between physical properties2014

    • Author(s)
      H. F. Hofmann
    • Journal Title

      Physical Review A

      Volume: 89 Pages: 042115 1 -13

    • DOI

      10.1103/PhysRevA.89.042115

    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Presentation] How to uncover the physics of quantum correlations through combinations of weak and strong measurements2015

    • Author(s)
      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
    • Invited
  • [Presentation] From experimental evidence to quantum physics: what measurement reveals about the dynamical structure of reality2015

    • Author(s)
      Holger F. Hofmann
    • Organizer
      Nagoya Winter Workshop 2015
    • Place of Presentation
      Nogoya University, Nagoya, Japan
    • Year and Date
      2015-03-09 – 2015-03-13
    • Invited
  • [Presentation] Why complex probabilities make sense: New insights into the relations between weak measurements, paradoxical correlations, and causality in quantum systems2014

    • Author(s)
      Holger F. Hofmann
    • Organizer
      AQIS 2014
    • Place of Presentation
      Shirankaikan, Kyoto, Japan
    • Year and Date
      2014-08-21 – 2014-08-24
    • Invited
  • [Presentation] Analysis of Errors and Disturbance in Quantum Mesurements2014

    • Author(s)
      Taiki Nii
    • Organizer
      CEWQO 2014
    • Place of Presentation
      Palace of the Royal Academies, Bruxelles, Belgium
    • Year and Date
      2014-06-23 – 2016-06-27
  • [Presentation] How photons get from A to B: quantum measurements of motion2014

    • Author(s)
      Holger F. Hofmann
    • Organizer
      CEWQO 2014
    • Place of Presentation
      Palace of the Royal Academies, Bruxelles, Belgium
    • Year and Date
      2014-06-23 – 2014-06-27
  • [Presentation] Reconstruction of the complex joint probabilities for sequential measurements of photon polarization2014

    • Author(s)
      Yutaro Suzuki
    • Organizer
      CEWQO 2014
    • Place of Presentation
      Palace of the Royal Academies, Bruxelles, Belgium
    • Year and Date
      2014-06-23 – 2014-06-27
  • [Presentation] Characterization of measurement uncertainties using the correlations of local outcomes for maximally entangled pairs2014

    • Author(s)
      Shota Kino
    • Organizer
      CEWQO 2014
    • Place of Presentation
      Palace of the Royal Academies, Bruxelles, Belgium
    • Year and Date
      2014-06-23 – 2014-06-27
  • [Presentation] Experimental evaluation of measurement error and disturbance in a two-level system2014

    • Author(s)
      Masataka Iinuma
    • Organizer
      CEWQO 2014
    • Place of Presentation
      Palace of the Royal Academies, Bruxelles, Belgium
    • Year and Date
      2014-06-23 – 2014-06-27
  • [Presentation] Negative probabilities as deterministic relations between observable properties2014

    • Author(s)
      Holger F. Hofmann
    • Organizer
      Quantum [Un]Speakables 2
    • Place of Presentation
      University of Vienna, Vienna, Austria
    • Year and Date
      2014-06-19 – 2014-06-22
  • [Presentation] Experimental reconstruction of complex joint probabilities for arbitrary photon polarization via sequential measurements of non-commuting observables2014

    • Author(s)
      Yutaro Suzuki
    • Organizer
      Quantum [Un]Speakables 2
    • Place of Presentation
      University of Vienna, Vienna, Austria
    • Year and Date
      2014-06-19 – 2014-06-22
  • [Presentation] Experimental evaluation of error and disturbance of Ozawa's inequality in two level systems2014

    • Author(s)
      Masataka Iinuma
    • Organizer
      Quantum [Un]Speakables 2
    • Place of Presentation
      University of Vienna, Vienna, Austria
    • Year and Date
      2014-06-19 – 2014-06-22
  • [Presentation] 量子測定における誤差と擾乱の統計2014

    • Author(s)
      新居 大記
    • Organizer
      QIT 30
    • Place of Presentation
      名古屋大学
    • Year and Date
      2014-05-12 – 2014-05-13
  • [Presentation] The quantum laws of physics - a new description of dynamics and causality2014

    • Author(s)
      Holger F. Hofmann
    • Organizer
      QIT 30
    • Place of Presentation
      名古屋大学
    • Year and Date
      2014-05-12 – 2014-05-13

URL: 

Published: 2016-06-01  

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