• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Generation and control of non-classical correlations in quantum processes

Research Project

Project/Area Number 24540427
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

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
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywords量子測定 / 量子相関 / 量子プロセス / 弱値 / 非可換物理量 / 複素結合確率 / Non-commutativity / Entanglement / Quantum processes / Quantum correlation / Weak values / Quantum measurement / 量子トモグラフィー / 量子複製
Outline of Final Research Achievements

In this research project, the possibility to control and optimize non-classical correlations in quantum process was explored using new quantum statistical methods and their experimental implementations. The results show that non-classical correlations can be measured directly by weak measurements and related methods such as quantum cloning or quantum controlled measurements. Typically, non-classical correlations appear as imaginary parts of the statistics and indicate how the quantum system will respond to transformation processes. This insight into non-classical statistics has direct applications in the optimization of quantum processes, since it describes the effects of external forces on outcome efficiencies.

Report

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

    (60 results)

All 2015 2014 2013 2012

All Journal Article (13 results) (of which Peer Reviewed: 9 results,  Acknowledgement Compliant: 3 results,  Open Access: 2 results) Presentation (47 results) (of which Invited: 8 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 Issue: 5 Pages: 0538231-7

    • DOI

      10.1103/physreva.89.053823

    • Related Report
      2014 Annual Research Report
    • 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 Issue: 6 Pages: 0630561-13

    • DOI

      10.1088/1367-2630/16/6/063056

    • Related Report
      2014 Annual Research Report
    • 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 Issue: 4 Pages: 0421151-13

    • DOI

      10.1103/physreva.89.042115

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] An investigation of the transfer dynamics of quantum teleportation by weak measurement statistics2013

    • Author(s)
      M. Hiroishi, H.F. Hofmann
    • Journal Title

      Journal of Physics A: Mathematical and Theoretical

      Volume: 46 Issue: 24 Pages: 245302-245302

    • DOI

      10.1088/1751-8113/46/24/245302

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Direct observation of temporal coherence by weak projective measurements of photon arrival time2013

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

      Physical Review A

      Volume: 87 Issue: 6 Pages: 62109-62109

    • DOI

      10.1103/physreva.87.062109

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Quantum effects in the interaction of off-resonant coherent light with a single atom2013

    • Author(s)
      A. Yamaguchi, H.F. Hofmann
    • Journal Title

      Physical Review A

      Volume: 88 Issue: 1 Pages: 13809-13809

    • DOI

      10.1103/physreva.88.013809

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Optimal multi-photon phase sensing with a single interference fringe2013

    • Author(s)
      G. Y. Xiang, H. F. Hofmann, G. J. Pryde
    • Journal Title

      Scientific Reports

      Volume: 3 Issue: 1 Pages: 2684-2684

    • DOI

      10.1038/srep02684

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Complex joint probabilities as expressions of reversible transformations in quantum mechanics2012

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

      New J. Phys

      Volume: no.043031 Issue: 4 Pages: 14-14

    • DOI

      10.1088/1367-2630/14/4/043031

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Clock synchronization using maximal multipartite entanglement2012

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

      Physical Review A

      Volume: 86 Issue: 1 Pages: 14301-14301

    • DOI

      10.1103/physreva.86.014301

    • Related Report
      2012 Research-status Report
  • [Journal Article] How weak values emerge in joint measurements on cloned quantum systems2012

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

      Physical Review Letters

      Volume: 109 Issue: 2 Pages: 20408-20408

    • DOI

      10.1103/physrevlett.109.020408

    • Related Report
      2012 Research-status Report
  • [Journal Article] Analysis of the time-energy entanglement of down-converted photon pairs by correlated single-photon interference2012

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

      Physical Review A

      Volume: 86 Issue: 4 Pages: 43823-43823

    • DOI

      10.1103/physreva.86.043823

    • Related Report
      2012 Research-status Report
  • [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
  • [Journal Article] Estimation of a quantum interaction parameter using weak measurements: Theory and experiment2012

    • Author(s)
      H. F. Hofmann, M. E. Goggin, M. P. Almeida, M. Barbieri
    • Journal Title

      Physical Review A

      Volume: 86 Issue: 4 Pages: 40102-40102

    • DOI

      10.1103/physreva.86.040102

    • Related Report
      2012 Research-status Report
  • [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
    • Related Report
      2014 Annual Research Report
    • 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
    • Related Report
      2014 Annual Research Report
    • 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
    • Related Report
      2014 Annual Research Report
    • 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
    • Related Report
      2014 Annual Research Report
  • [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
    • Related Report
      2014 Annual Research Report
  • [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
    • Related Report
      2014 Annual Research Report
  • [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
    • Related Report
      2014 Annual Research Report
  • [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
    • Related Report
      2014 Annual Research Report
  • [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
    • 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)
      Yutaro Suzuki
    • Organizer
      Quantum [Un]Speakables 2
    • 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)
      Masataka Iinuma
    • Organizer
      Quantum [Un]Speakables 2
    • Place of Presentation
      University of Vienna, Vienna, Austria
    • Year and Date
      2014-06-19 – 2014-06-22
    • Related Report
      2014 Annual Research Report
  • [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
    • Related Report
      2014 Annual Research Report
  • [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
    • Related Report
      2014 Annual Research Report
  • [Presentation] The law of quantum ergodicity: complex probabilities as fundamental physics2014

    • Author(s)
      Holger F. Hofmann
    • Organizer
      QMKEK 5
    • Place of Presentation
      KEK, Tsukuba
    • Related Report
      2013 Research-status Report
    • Invited
  • [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)
      Yutaro Suzuki, Masataka Iinuma, Ryuji Kinoshita, Holger F. Hofmann
    • Organizer
      日本物理学会
    • Place of Presentation
      Tokai University, Hiratsuka
    • Related Report
      2013 Research-status Report
  • [Presentation] 二準位系でのOzawa不等式の誤差と擾乱2014

    • Author(s)
      Masataka Iinuma, Yutaro Suzuki, Ryuji Kinoshita, Holger F. Hofmann
    • Organizer
      日本物理学会
    • Place of Presentation
      Tokai University, Hiratsuka
    • Related Report
      2013 Research-status Report
  • [Presentation] Weak valued statistics as fundamental explanation of quantum physics2013

    • Author(s)
      Holger F. Hofmann
    • Organizer
      QIT28
    • Place of Presentation
      北海道大学
    • Related Report
      2013 Research-status Report
  • [Presentation] Quantum properties of a coherent single-photon frequecncy comb2013

    • Author(s)
      Changliang Ren、 Holger F. Hofmann
    • Organizer
      QIT28
    • Place of Presentation
      北海道大学
    • Related Report
      2013 Research-status Report
  • [Presentation] Quantum evidence in classical data: How recent experiments in optics inspire a new look at fundamental physics2013

    • Author(s)
      Holger F. Hofmann
    • Organizer
      CQO-X/QIM-2
    • Place of Presentation
      Rochester University, Rochester, USA
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Measuring time-energy entanglement at ultrashort timescales2013

    • Author(s)
      Changliang Ren, Holger F. Hofmann
    • Organizer
      CSICQM
    • Place of Presentation
      CAS, Beijing, China
    • Related Report
      2013 Research-status Report
  • [Presentation] Weak measurement charateristics of entanglement2013

    • Author(s)
      Holger F. Hofmann
    • Organizer
      QIPC 2013
    • Place of Presentation
      Florence University, Florence, Italy
    • Related Report
      2013 Research-status Report
  • [Presentation] A closer look at photons: how to map the quantum statistics of energy and time2013

    • Author(s)
      Holger F. Hofmann, Changliang Ren
    • Organizer
      NSTEP
    • Place of Presentation
      Osaka University
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Measurement of time-energy entanglement by frequency comb states2013

    • Author(s)
      Changliang Ren, Holger F. Hofmann
    • Organizer
      NSTEP
    • Place of Presentation
      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, Holger F. Hofmann
    • Organizer
      NSTEP
    • Place of Presentation
      Osaka University
    • 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, Holger F. Hofmann
    • Organizer
      NSTEP
    • Place of Presentation
      Osaka University
    • Related Report
      2013 Research-status Report
  • [Presentation] Fundamental laws for quantum physics: How inequality violations originate from weak value statistics2013

    • Author(s)
      Holger F. Hofmann
    • Organizer
      CIQIC
    • Place of Presentation
      University of Toronto, Toronto, Canada
    • Related Report
      2013 Research-status Report
  • [Presentation] Fundamental laws of quantum physics: On the meaning of weak measurement statistics2013

    • Author(s)
      Holger F. Hofmann
    • Organizer
      IMS workshop on quantum optics and quantum information
    • Place of Presentation
      IMS, Higashi Okazaki
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 二準位系でのOzawa不等式の誤差と擾乱の実験的評価2013

    • Author(s)
      Masataka Iinuma, Yutaro Suzuki, Ryuji Kinoshita, Holger F. Hofmann
    • Organizer
      QIT29
    • Place of Presentation
      Waseda University, Tokyo
    • Related Report
      2013 Research-status Report
  • [Presentation] 偏光の連続測定で得られる複素結合確率の実験的検証2013

    • Author(s)
      Yutaro Suzuki, Masataka Iinuma, Ryuji Kinoshita, Holger F. Hofmann
    • Organizer
      QIT29
    • Place of Presentation
      Waseda University, Tokyo
    • Related Report
      2013 Research-status Report
  • [Presentation] Weak valued statistics and physical reality in quantum mechanics2013

    • Author(s)
      Holger F. Hofmann
    • Organizer
      APCWQIS
    • Place of Presentation
      Korean Institute of Advanced Study, Seoul, South Korea
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Complex probabilities as fundamental physics: how Hilbert space unifies dynamics and statistics (invited)2013

    • Author(s)
      Holger F. Hofmann
    • Organizer
      Nagoya Winter Workshop
    • Place of Presentation
      名古屋大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Sagnac 干渉計を用いた偏光の弱測定2013

    • Author(s)
      Tomonori Okazaki, masataka Iinuma, Yutaro Suzuki, Akira Shahana, Holger F. Hofmann
    • Organizer
      日本物理学会
    • Place of Presentation
      広島大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Weak measurements and quasi-realities: explaining the paradoxical statistics (invited)2012

    • Author(s)
      Holger F. Hofmann
    • Organizer
      Workshop on Weak Measurement
    • Place of Presentation
      東京工業大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Measurement uncertainties in the quantum formalism: quasi-realities of individual systems2012

    • Author(s)
      Holger F. Hofmann
    • Organizer
      QIT 26
    • Place of Presentation
      福井大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 弱測定統計を用いた量子テレポーテーションの解析2012

    • Author(s)
      Masanori Hiroishi, Holger F. Hofmann
    • Organizer
      QIT 26
    • Place of Presentation
      福井大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Multiparty clock synchronization with GHZ states2012

    • Author(s)
      Changliang Ren, Holger F. Hofmann
    • Organizer
      QIT 26
    • Place of Presentation
      福井大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Evaluation of joint probabilities for non-commuting observables from correlations between quantum clones2012

    • Author(s)
      Holger F. Hofmann
    • Organizer
      DAMOP
    • Place of Presentation
      Hyatt Regency, Anaheim, California,USA
    • Related Report
      2012 Research-status Report
  • [Presentation] Estimation of a quantum interaction parameter using weak quantum measurement2012

    • Author(s)
      Michael Goggin, Holger F. Hofmann, Marcelo Almeida, Marco Barbieri
    • Organizer
      DAMOP
    • Place of Presentation
      Hyatt Regency, Anaheim, California,USA
    • Related Report
      2012 Research-status Report
  • [Presentation] What the complex joint probabilities observed in weak measurements can tell us about quantum physics2012

    • Author(s)
      Holger F. Hofmann
    • Organizer
      QCMC
    • Place of Presentation
      Vienna Technical University, Vienna, Austria
    • Related Report
      2012 Research-status Report
  • [Presentation] Optimal cloning as a universal quantum measurement: resolution, back-action, and joint probabilities2012

    • Author(s)
      Holger F. Hofmann
    • Organizer
      QCMC
    • Place of Presentation
      Vienna Technical University, Vienna, Austria
    • Related Report
      2012 Research-status Report
  • [Presentation] Experimental demonstration of Leggett-Garg inequality violations by measurement with high resolution and back-action2012

    • Author(s)
      Yutaro Suzuki, Masataka Iinuma, Holger F. Hofmann
    • Organizer
      QCMC
    • Place of Presentation
      Vienna Technical University, Vienna, Austria
    • Related Report
      2012 Research-status Report
  • [Presentation] Weak measurement statistics of correlations between input and output in quantum teleportation2012

    • Author(s)
      Masanori Hiroishi, Holger F. Hofmann
    • Organizer
      QCMC
    • Place of Presentation
      Vienna Technical University, Vienna, Austria
    • Related Report
      2012 Research-status Report
  • [Presentation] How to make optimal use of maximal multipartite entanglement in clock synchronization2012

    • Author(s)
      Changliang Ren, Holger F. Hofmann
    • Organizer
      QCMC
    • Place of Presentation
      Vienna Technical University, Vienna, Austria
    • Related Report
      2012 Research-status Report
  • [Presentation] Experimental observation of paradoxical correlations in sequential measurements of photon polarization2012

    • Author(s)
      Masataka Iinuma, Yutaro Suzuki, Holger F. Hofmann
    • Organizer
      AQIS
    • Place of Presentation
      Suzhou, China
    • Related Report
      2012 Research-status Report
  • [Presentation] Analysis of time-energy entanglement by correlated single photon interference2012

    • Author(s)
      Changliang Ren, Holger F. Hofmann
    • Organizer
      AQIS
    • Place of Presentation
      Suzhou, China
    • 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)
      Masataka Iinuma, Yutaro Suzuki, Holger F. Hofmann
    • Organizer
      量子論における統計的推測の理論と応用
    • Place of Presentation
      京都大学
    • 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)
      Yutaro Suzuki, Masataka Iinuma, Holger F. Hofmann
    • Organizer
      QIT 27
    • Place of Presentation
      慶應義塾
    • Related Report
      2012 Research-status Report

URL: 

Published: 2013-05-31   Modified: 2021-04-07  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi