Researching

Journals
  • Advanced Photonics
  • Photonics Insights
  • Advanced Photonics Nexus
  • Photonics Research
  • Advanced Imaging
  • View All Journals
  • Chinese Optics Letters
  • High Power Laser Science and Engineering
    • Articles
  • Optics
  • Physics
  • Geography
  • View All Subjects
    • Conferences
  • CIOP
  • HPLSE
  • AP
  • View All Events
    • News
    About CLP
    Search by keywords or author
    Journals >Optical Instruments >Volume 45 >Issue 5 >Page 19 > Article
    • Optical Instruments
    • Vol. 45, Issue 5, 19 (2023)
    Quantum tomography calibration of 100 MHz photon-number-resolving detector
    Xiao SHAN, Yaoqiang LONG, Wen WU, and Yan LIANG*
    Author Affiliations
  • School of Optical-Electrical and Computer Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China
    • show less
    DOI: 10.3969/j.issn.1005-5630.2023.005.003 Cite this Article
    Xiao SHAN, Yaoqiang LONG, Wen WU, Yan LIANG. Quantum tomography calibration of 100 MHz photon-number-resolving detector[J]. Optical Instruments, 2023, 45(5): 19 Copy Citation Text show less

    Abstract

    In this paper, we designed a photon-number-resolving single-photon detector based on an avalanche photodiode, which used a short-pulse gated signal combining with a capacitive balanced noise suppression scheme to achieve a single-channel high-performance detection of 100 MHz with a detection efficiency of 40.5%, and effectively resolved the number of incident photons with spatial beam splitting. In order to more completely describe the quantum characteristics of the detector, we introduced the quantum detector tomography technology, starting from the single-channel single-photon detector to the dual-channel photon-number-resolving detector, performed quantum tomography calibration, reconstructed its positive-operator-valued measure matrix and the corresponding Wigner function, and established the corresponding theoretical model. The results show that the dual-channel 100 MHz photon-number-resolving detector can achieve quantum detection.

    Keywords

    $ \eta =\frac{{{P}_{{\rm{photon}}}-P}_{{\rm{dark}}}}{\mu \times {f}_{{\rm{laser}}}} $(1)

    View in Article

    $ {P}_{{\rm{A}}}=\frac{{{C}_{{\rm{no-photon}}}-C}_{{\rm{dark}}}}{{C}_{{\rm{photon}}}-{C}_{{\rm{no-photon}}}}\cdot \frac{{f}_{{\rm{gate}}}}{{f}_{{\rm{laser}}}} $(2)

    View in Article

    $ {P}_{z}={\rm{tr}}\left[{\boldsymbol{\rho}} {{\boldsymbol{\varPi}} }_{z}\right] $(3)

    View in Article

    $ {{\boldsymbol{\varPi}} }_{{\rm{of f}}}={\sum }_{n=0}^{M}{\left(1-\eta \right)}^{n}|n \rangle \langle n | $(4)

    View in Article

    $ {{\boldsymbol{\varPi}} }_{{\rm{on}}}={\bf{1}}-{\boldsymbol{\varPi }}_{{\rm{of f}}} $(5)

    View in Article

    $ {{\boldsymbol{\varPi}} }_{{\rm{of f}}}={{\rm{e}}}^{-v}{\sum }_{n=0}^{M}{\left(1-\eta \right)}^{n}\left|n \rangle \langle n\right| $(6)

    View in Article

    $ {{\boldsymbol{\varPi}} }_{{\rm{on}}}={\bf{1}}-{\boldsymbol{\varPi }}_{{\rm{of f}}} $(7)

    View in Article

    $ {{\boldsymbol{\varPi}} }_{0}={{\rm{e}}}^{-2v}{\sum }_{n=0}^{M}{\left(1-\eta \right)}^{n}\left|n \rangle \langle n\right| $(8)

    View in Article

    $ {{\boldsymbol{\varPi}} }_{1}={\sum }_{n=1}^{M}2\left[{{{\rm{e}}}^{-v}\left(1-\frac{1}{2}\eta \right)}^{n}-{{{\rm{e}}}^{-2v}\left(1-\eta \right)}^{n}\right]\left|n \rangle \langle n\right| $(9)

    View in Article

    $ {W}_{z}\left(x,p\right)={\sum }_{n=z}^{M}{\theta }_{\mathrm{z},n}{W}_{n}\left(x,p\right) $(10)

    View in Article

    $ {W}_{n}\left(x\text{，}p\right)=\left[\frac{{\left(-1\right)}^{n}}{2{\text{π}} }\right]{{\rm{e}}}^{-\frac{{p}^{2}+{x}^{2}}{2}}{L}_{n}\left({p}^{2}+{x}^{2}\right) $(11)

    View in Article

    $ {W}_{{\rm{of f}}}=\frac{1}{2{\text{π}} }{{\rm{e}}}^{-\frac{{p}^{2}+{x}^{2}}{2}}{{\rm{e}}}^{-v}{\sum }_{{n}=0}^{{M}}{\left(1-\eta \right)}^{n}L_n\left({p}^{2}+{x}^{2}\right) $(12)

    View in Article

    $ {W}_{{\rm{of f}}}=\frac{{{\rm{e}}}^{-v}}{2{\text{π}} \left(2-\eta \right)}{{\rm{e}}}^{-\frac{\eta \left({p}^{2}+{x}^{2}\right)}{2\left(2-\eta \right)}} $(13)

    View in Article

    $ {W}_{{\rm{on}}}={W}_{1}-{W}_{{\rm{of f}}}=\frac{1}{2{\text{π}} }\left[\frac{1}{2}-\frac{{{\rm{e}}}^{-v}}{2-\eta }{{\rm{e}}}^{-\frac{\eta \left({p}^{2}+{x}^{2}\right)}{2\left(2-\eta \right)}}\right] $(14)

    View in Article

    Abstract
    Get PDF(in Chinese)
    Figures&Tables (12)
    Equations (14)
    References (2)
    Get Citation
    Copy Citation Text
    Xiao SHAN, Yaoqiang LONG, Wen WU, Yan LIANG. Quantum tomography calibration of 100 MHz photon-number-resolving detector[J]. Optical Instruments, 2023, 45(5): 19
    Download Citation
    Tools
    Share
    Save the article for my favorites
    Paper Information
    Recommended Topics
    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology