A two-step MaxLik-MaxEnt strategy to infer photon distribution from   on/off measurement at low quantum efficiency
  A method based on Maximum-Entropy (ME) principle to infer photon distribution from on/off measurements performed with few and low values of quantum efficiency is addressed. The method consists of two steps: at first some moments of the photon distribution are retrieved from on/off statistics using Maximum-Likelihood estimation, then ME principle is applied to infer the quantum state and, in turn, the photon distribution. Results from simulated experiments on coherent and number states are presented. 
Andrea R. Rossi and Matteo G. A. Paris