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Chin. Phys. B, 2018, Vol. 27(7): 074208    DOI: 10.1088/1674-1056/27/7/074208

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 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
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.
Keywords:  fidelity      on/off detector      photon number detection      relative entropy  
Received:  05 March 2018      Revised:  11 April 2018      Accepted manuscript online: 
PACS:  42.50.-p (Quantum optics)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61627820, 11674306, 61590932, and 61377048).
Corresponding Authors:  Jun-Feng Song, Yong-Sheng Zhang     E-mail:;

Cite this article: 

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) Estimation of photon counting statistics with imperfect detectors 2018 Chin. Phys. B 27 074208

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