Binary Communication with Gazeau-Klauder Coherent States.

We investigate advantages and disadvantages of using Gazeau-Klauder coherent states for optical communication. In this short paper we show that using an alphabet consisting of coherent Gazeau-Klauder states related to a Kerr-type nonlinear oscillator instead of standard Perelomov coherent states results in lowering of the Helstrom bound for error probability in binary communication. We also discuss trace distance between Gazeau-Klauder coherent states and a standard coherent state as a quantifier of distinguishability of alphabets.