Signal acquisition via polarization modulation in single photon sources
Abstract
A simple model system is introduced for demonstrating how a single photon source might be used to transduce classical analog information. The theoretical scheme results in measurements of analog source samples that are (i) quantized in the sense of analogtodigital conversion and (ii) corrupted by random noise that is solely due to the quantum uncertainty in detecting the polarization state of each photon. This noise is unavoidable if more than 1 bit per sample is to be transmitted and we show how it may be exploited in a manner inspired by suprathreshold stochastic resonance. The system is analyzed information theoretically, as it can be modeled as a noisy optical communication channel, although unlike classical Poisson channels, the detector’s photon statistics are binomial. Previous results on binomial channels are adapted to demonstrate numerically that the classical information capacity, and thus the accuracy of the transduction, increases logarithmically with the square root of the number of photons, N . Although the capacity is shown to be reduced when an additional detector nonideality is present, the logarithmic increase with N remains.
 Publication:

Physical Review E
 Pub Date:
 December 2009
 DOI:
 10.1103/PhysRevE.80.060102
 arXiv:
 arXiv:0911.3668
 Bibcode:
 2009PhRvE..80f0102M
 Keywords:

 05.40.Ca;
 42.50.Ar;
 89.70.a;
 02.50.r;
 Noise;
 Photon statistics and coherence theory;
 Information and communication theory;
 Probability theory stochastic processes and statistics;
 Quantum Physics;
 Computer Science  Information Theory
 EPrint:
 7 pages, 2 figures, accepted by Physical Review E. This version adds a reference