中国物理B ›› 2018, Vol. 27 ›› Issue (7): 74208-074208.doi: 10.1088/1674-1056/27/7/074208

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

Estimation of photon counting statistics with imperfect detectors

Xiao-Chuan Han(韩晓川), Dong-Wei Zhuang(庄东炜), Yu-Xuan Li(李雨轩), Jun-Feng Song(宋俊峰), Yong-Sheng Zhang(张永生)   

  1. 1 State Key Laboratory on Integrated Opto-electronics, College of Electronic Science and Engineering, Jilin University, Changchun 130012, China;
    2 Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China
  • 收稿日期:2018-03-05 修回日期:2018-04-11 出版日期:2018-07-05 发布日期:2018-07-05
  • 通讯作者: Jun-Feng Song, Yong-Sheng Zhang E-mail:songjf@jlu.edu.cn;yshzhang@ustc.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61627820, 11674306, 61590932, and 61377048).

Estimation of photon counting statistics with imperfect detectors

Xiao-Chuan Han(韩晓川)1, Dong-Wei Zhuang(庄东炜)1, Yu-Xuan Li(李雨轩)1, Jun-Feng Song(宋俊峰)1, Yong-Sheng Zhang(张永生)2   

  1. 1 State Key Laboratory on Integrated Opto-electronics, College of Electronic Science and Engineering, Jilin University, Changchun 130012, China;
    2 Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China
  • Received:2018-03-05 Revised:2018-04-11 Online:2018-07-05 Published:2018-07-05
  • Contact: Jun-Feng Song, Yong-Sheng Zhang E-mail:songjf@jlu.edu.cn;yshzhang@ustc.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61627820, 11674306, 61590932, and 61377048).

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摘要： The study on photon counting statistics is of fundamental importance in quantum optics. We theoretically analyzed the imperfect detection of an arbitrary quantum state. We derived photon counting formulae for six typical quantum states (i.e., Fock, coherent, squeeze-vacuum, thermal, odd and even coherent states) with finite quantum efficiencies and dark counts based on multiple on/off detector arrays. We applied the formulae to the simulation of multiphoton number detections and obtained both the simulated and ideal photon number distributions of each state. A comparison between the results by using the fidelity and relative entropy was carried out to evaluate the detection scheme and help select detectors for different quantum states.

关键词: fidelity, on/off detector, photon number detection, relative entropy

Abstract: The study on photon counting statistics is of fundamental importance in quantum optics. We theoretically analyzed the imperfect detection of an arbitrary quantum state. We derived photon counting formulae for six typical quantum states (i.e., Fock, coherent, squeeze-vacuum, thermal, odd and even coherent states) with finite quantum efficiencies and dark counts based on multiple on/off detector arrays. We applied the formulae to the simulation of multiphoton number detections and obtained both the simulated and ideal photon number distributions of each state. A comparison between the results by using the fidelity and relative entropy was carried out to evaluate the detection scheme and help select detectors for different quantum states.

Key words: fidelity, on/off detector, photon number detection, relative entropy

中图分类号:  (Quantum optics)

  • 42.50.-p