Detection of quantum signals of random phase in thermal noise
Abstract
When the phase of the transmittance between a unimodal transmitter and a unimodal receiver is uniformly distributed over (0, 2 pi), the density operator of the received signal field commutes with the photon number operator, and the optimum detector of the signal counts photons. A simple formula is given for the probability generating function of the number of photons in terms of the quasiprobability distribution of the transmitted signal. It is used to determine the average error probability of an onoff binary communication system transmitting twophoton coherentstate signals, received in the presence of thermal noise.
 Publication:

IEEE Transactions on Information Theory
 Pub Date:
 November 1980
 Bibcode:
 1980ITIT...26..751H
 Keywords:

 Data Transmission;
 Error Analysis;
 Probability Theory;
 Signal Detection;
 Thermal Noise;
 Background Noise;
 Binary Data;
 Operators (Mathematics);
 Optical Communication;
 Photon Beams;
 Communications and Radar