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Analysis of precision in optical quantum processes

Research Project

Project/Area Number 21540409
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Atomic/Molecular/Quantum electronics
Research InstitutionHiroshima University

Principal Investigator

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) 2009 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywords量子情報 / 量子プロセス / 位相精度 / 量子測定 / 量子相関 / フィッシャー情報量 / 密度行列 / 多光子干渉 / 量子トモグラフィー / エンタングルメント
Research Abstract

In this research project, the relation between the sensitivity of parameter estimation used in quantum metrology and the uncertainties expressed by coherent quantum fluctuations was investigated based on recent advances in quantum tomography, quantum metrology, and weak measurements. The results indicate that a unified description in terms of complex joint probabilities greatly simplifies the analysis of sensitivities and quantum statistics. In particular, I was able to show that the complex statistics observed in weak measurements describe the transformation dynamics of the quantum system and can be used to predict and control the response of quantum systems to external forces.

Report

(4 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report
  • 2009 Annual Research Report
  • Research Products

    (43 results)

All 2012 2011 2010 2009

All Journal Article (21 results) (of which Peer Reviewed: 21 results) Presentation (22 results)

  • [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
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] On the role of complex phases in the quantum statistics of weak measurements2011

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

      New J. Phys

      Volume: no.103009 Issue: 10 Pages: 13-13

    • DOI

      10.1088/1367-2630/13/10/103009

    • Related Report
      2011 Annual Research Report 2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Time-resolved measurement of the quantum states of photons using two-photon interference with short-time reference pulses2011

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

      Phys. Rev. A

      Volume: no.032 Issue: 3 Pages: 84-84

    • DOI

      10.1103/physreva.84.032108

    • Related Report
      2011 Annual Research Report 2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Realization of a photonic quantum circuit combining effective optical nonlinearities into a Knill-Laflamme-Milburn C-NOT gate2011

    • Author(s)
      R. Okamoto, J.L. O'Brien, H.F. Hofmann, and S. Takeuchi
    • Journal Title

      Proceedings of the National Academy of Science

      Volume: Vol. 108 Issue: 25 Pages: 10067-10071

    • DOI

      10.1073/pnas.1018839108

    • Related Report
      2011 Annual Research Report 2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Weak measurement of photon polarization by back-actioninduced path interference2011

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

      New J. Phys

      Volume: no.033041 Issue: 3 Pages: 13-13

    • DOI

      10.1088/1367-2630/13/3/033041

    • Related Report
      2011 Annual Research Report 2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Uncertainty limits for quantum metrology obtained from the statistics of weak measurements2011

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

      Phys. Rev. A

      Volume: no.022106 Issue: 2 Pages: 83-83

    • DOI

      10.1103/physreva.83.022106

    • NAID

      120003644430

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Complete characterization of post-selected quantum statistics using weak measurement tomography2011

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

      Phys. Rev. A

      Volume: no.012103 Issue: 1 Pages: 81-81

    • DOI

      10.1103/physreva.81.012103

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Uncertainty limits for quantum metrology obtained from the statistics of weak measurements2011

    • Author(s)
      Holger, F.Hofmann
    • Journal Title

      Physical Review A

      Volume: 83

    • NAID

      120003644430

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Analysis of experimental error sources in a linear-optics quantum gate2010

    • Author(s)
      T. Nagata, R. Okamoto, H. F. Hofmann, and S. Takeuchi
    • Journal Title

      New J. Phys

      Volume: no.043053 Issue: 4 Pages: 12-12

    • DOI

      10.1088/1367-2630/12/4/043053

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Directional control of light by a nano-optical Yagi-Uda antenna2010

    • Author(s)
      T. Kosako, Y. Kadoya, and H. F. Hofmann
    • Journal Title

      Nature Photonics

      Volume: 312-315 Issue: 5 Pages: 4-4

    • DOI

      10.1038/nphoton.2010.34

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Effects of photon losses on phase estimation near the Heisenberg limit using coherent light and squeezed vacuum¥2010

    • Author(s)
      T. Ono, H. F. Hofmann
    • Journal Title

      Phys. Rev. A

      Volume: no.033819 Issue: 3 Pages: 81-81

    • DOI

      10.1103/physreva.81.033819

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Directional control of light by a nano-optical Yagi-Uda antenna2010

    • Author(s)
      Terukazu Kosako
    • Journal Title

      Nature Photonics

      Volume: 4 Pages: 312-315

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Analysis of experimental error sources in a linear-optics quantum gate2010

    • Author(s)
      Tomohisa Nagata
    • Journal Title

      New Journal of Physics

      Volume: 12

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Complete characterization of post-selected quantum statistics using weak measurement tomography2010

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

      Physical Review A 81

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Effects of photon losses on phase estimation near the Heisenberg limit using coherent light and squeezed vacuum2010

    • Author(s)
      Takafumi Ono
    • Journal Title

      Physical Review A 81

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Reconstruction of spatial qutrit states based on realistic measurement operators2009

    • Author(s)
      G. Taguchi, T. Dougakiuchi, M. Iinuma, H. F. Hofmann, Y. Kadoya
    • Journal Title

      Phys. Rev. A

      Volume: no.062102 Issue: 6 Pages: 890-890

    • DOI

      10.1103/physreva.80.062102

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Pulse-shape effects on photon-photon interactions in nonlinear optical quantum gates2009

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

      Phys. Rev. A

      Volume: no.013822 Issue: 1 Pages: 80-80

    • DOI

      10.1103/physreva.80.013822

    • NAID

      120001924002

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] How to simulate a quantum computer using negative probability2009

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

      J. Phys. A : Math. Theor

      Volume: no.275304 Issue: 27 Pages: 42-42

    • DOI

      10.1088/1751-8113/42/27/275304

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] How to simulate a quantum computer using negative probability2009

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

      Journal of Physics A : Math.Theor. 42

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Pulse-shape effects on photon-photon interactions in non-linear optical quantum gates2009

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

      Physical Review A 80

    • NAID

      120001924002

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Reconstruction of spatial qutrit states based on realistic measurement Operators2009

    • Author(s)
      Gen Taguchi
    • Journal Title

      Physical Review A 80

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Presentation] Optical multi-photon phase sensing with a si ngle interference fringe2012

    • Author(s)
      G. Xiang, H. F. Hofmann, G. Pryde
    • Organizer
      QIM 2012
    • Place of Presentation
      Berlin, Germany
    • Year and Date
      2012-03-19
    • Related Report
      2011 Final Research Report
  • [Presentation] Optical multi-photon phase sensing with a single interference fringe2012

    • Author(s)
      Guoyong Xiang
    • Organizer
      QIM 2012
    • Place of Presentation
      Berlin, Germany
    • Year and Date
      2012-03-19
    • Related Report
      2011 Annual Research Report
  • [Presentation] Weak joint probabilities as informationally complete representations of quantum statistics2011

    • Author(s)
      H. F. Hofmann
    • Organizer
      QIPC 2011
    • Place of Presentation
      Zurich, Switzerland
    • Year and Date
      2011-09-06
    • Related Report
      2011 Final Research Report
  • [Presentation] Weak joint probabilities as informationally complete representations of quantum statistics2011

    • Author(s)
      Holger F.Hofmann
    • Organizer
      QIPC 2011
    • Place of Presentation
      ETH Zurich, Switzerland
    • Year and Date
      2011-09-06
    • Related Report
      2011 Annual Research Report
  • [Presentation] Characterization of decoherence in a quantum channel using weak measurement2011

    • Author(s)
      H. F. Hofmann
    • Organizer
      CLEO pacific rim/ IQEC 2011
    • Place of Presentation
      Sydney, Australia
    • Year and Date
      2011-08-30
    • Related Report
      2011 Final Research Report
  • [Presentation] Characterization of decoherence in a quantum channel using weak measurement2011

    • Author(s)
      Holger F.Hofmann
    • Organizer
      CLEO pacific rim/IQEC 2011
    • Place of Presentation
      Sydney, Australia
    • Year and Date
      2011-08-30
    • Related Report
      2011 Annual Research Report
  • [Presentation] Quantum tomography of photonic time-energy entanglement by photon bunching with short-time reference pulses2011

    • Author(s)
      Changliang Ren
    • Organizer
      CQIQC IV
    • Place of Presentation
      Fields Institute, Toronto, Canada
    • Year and Date
      2011-08-11
    • Related Report
      2011 Annual Research Report
  • [Presentation] On the relation between transformation dynamics and quantum statistics in weak measurements2011

    • Author(s)
      Holger F.Hofmann
    • Organizer
      QIT 26
    • Place of Presentation
      東京工業大学、東京
    • Year and Date
      2011-05-12
    • Related Report
      2011 Annual Research Report
  • [Presentation] Causality and completeness in weak measurement statistics2011

    • Author(s)
      H. F. Hofmann
    • Organizer
      Nagoya Winter Workshop 2011
    • Place of Presentation
      Nagoya University
    • Year and Date
      2011-02-17
    • Related Report
      2011 Final Research Report
  • [Presentation] Causality and completeness in weak measurement statistics2011

    • Author(s)
      Holger, F.Hofmann
    • Organizer
      Nagoya Winter Workshop
    • Place of Presentation
      Nagoya University(invited)(招待講演)
    • Year and Date
      2011-02-17
    • Related Report
      2010 Annual Research Report
  • [Presentation] On the relation between quantum parameter estimation and weak values2010

    • Author(s)
      H. F. Hofmann
    • Organizer
      AQIS 2012
    • Place of Presentation
      Tokyo University
    • Year and Date
      2010-08-29
    • Related Report
      2011 Final Research Report
  • [Presentation] On the relation between quantum parameter estimation and weak values2010

    • Author(s)
      Holger, F.Hofmann
    • Organizer
      AQIS 2010
    • Place of Presentation
      Tokyo University
    • Year and Date
      2010-08-29
    • Related Report
      2010 Annual Research Report
  • [Presentation] On the estimation of int eraction parameters in weak measurements2010

    • Author(s)
      H. F. Hofmann
    • Organizer
      QCMC 2010
    • Place of Presentation
      Queensland University, Australia
    • Year and Date
      2010-07-23
    • Related Report
      2011 Final Research Report
  • [Presentation] On the estimation of interaction parameters in weak measurements2010

    • Author(s)
      Holger, F.Hofmann
    • Organizer
      QCMC 2010
    • Place of Presentation
      Queensland University, Australia
    • Year and Date
      2010-07-23
    • Related Report
      2010 Annual Research Report
  • [Presentation] Phase estimation using four and six photon Holland-Burnett states2010

    • Author(s)
      G. Xiang, H. F. Hofmann, G. Pryde
    • Organizer
      QCMC 2010
    • Place of Presentation
      Queensland University, Australia
    • Year and Date
      2010-07-20
    • Related Report
      2011 Final Research Report
  • [Presentation] Phase estimation using four and six-photon Holland-Burnett states2010

    • Author(s)
      Guoyong Xiang
    • Organizer
      QCMC 2010
    • Place of Presentation
      Queensland University, Australia
    • Year and Date
      2010-07-20
    • Related Report
      2010 Annual Research Report
  • [Presentation] Resolution of pure state uncertainties by weak measurement tomogra phy2010

    • Author(s)
      H. F. Hofmann
    • Organizer
      Nagoya Winter Workshop 2010
    • Place of Presentation
      Nagoya University
    • Year and Date
      2010-02-18
    • Related Report
      2011 Final Research Report
  • [Presentation] Resolution of pure state uncertainties by weak measurement Tomography (invited)2010

    • Author(s)
      Holger F.Hofmann
    • Organizer
      Nagoya Winter Workshop
    • Place of Presentation
      Nagoya University
    • Year and Date
      2010-02-18
    • Related Report
      2009 Annual Research Report
  • [Presentation] Quantum parallelism of an entanglement filter2009

    • Author(s)
      H. F. Hofmann, R. Okamoto, J. L. O` Brien, S. Takeuchi
    • Organizer
      QIPC 2009
    • Place of Presentation
      Rome, Italy
    • Year and Date
      2009-09-21
    • Related Report
      2011 Final Research Report
  • [Presentation] Quantum parallelism of an entanglement filter2009

    • Author(s)
      Holger F.Hofmann
    • Organizer
      QIPC 2009
    • Place of Presentation
      University La Sapienzia, Rome, Italy
    • Year and Date
      2009-09-21
    • Related Report
      2009 Annual Research Report
  • [Presentation] Achieving the uncertain ty limit of phase estimation in two-path Interferometers2009

    • Author(s)
      H. F. Hofmann
    • Organizer
      CLEO pacific 2009
    • Place of Presentation
      Shanghai, China
    • Year and Date
      2009-09-01
    • Related Report
      2011 Final Research Report
  • [Presentation] Achieving the uncertainty limit of phase estimation in two-path Interferometers2009

    • Author(s)
      Holger F.Hofmann
    • Organizer
      CLEO pacific rim 2009
    • Place of Presentation
      Shanghai International Convention Center, Shanghai, China
    • Year and Date
      2009-09-01
    • Related Report
      2009 Annual Research Report

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Published: 2009-04-01   Modified: 2016-04-21  

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