QUANTUM STATE INFERENCE FROM PHOTOCOUNT STATISTICS - ONE-PROBE RECONSTRUCTION AND RECONSTRUCTION CHECKING THE PRESENCE OR ABSENCE OF PHOTONS

We demonstrate the possibility of reconstructing the density matrix of a single-mode signal state of a radiation field by measuring the phot ocount statistics in a simple two-detector measurement scheme. We show that the reconstruction can be done by measuring either the complete photocount distribution for identical probe states or the probability of zero counts on both detectors for different probe states.