Quantum state reconstruction using binary data from on/off   photodetection
  The knowledge of the density matrix of a quantum state plays a fundamental role in several fields ranging from quantum information processing to experiments on foundations of quantum mechanics and quantum optics. Recently, a method has been suggested and implemented in order to obtain the reconstruction of the diagonal elements of the density matrix exploiting the information achievable with realistic on/off detectors, e.g. silicon avalanche photo-diodes, only able to discriminate the presence or the absence of light. The purpose of this paper is to provide an overview of the theoretical and experimental developments of the on/off method, including its extension to the reconstruction of the whole density matrix. 
G. Brida, M. Genovese, M. Gramegna, A. Meda, F. Piacentini, P. Traina,   E. Predazzi, S. Olivares, M. G. A. Paris