Estimation of photon counting statistics with imperfect detectors*

Project supported by the National Natural Science Foundation of China (Grant Nos. 61627820, 11674306, 61590932, and 61377048).

Han Xiao-Chuan1, Zhuang Dong-Wei1, Li Yu-Xuan1, Song Jun-Feng1, †, Zhang Yong-Sheng2, ‡
       

(color online) Schematic of multiphoton detections based on an on/off detector array. An unknown quantum state is equally divided into N ports by a series of hypothetical unitary operations (U(N)). At the end of each port, an on/off detector is ready for the detection of a possible incoming photon. The photon number distribution is obtained by summing the clicks of all the on/off detectors.