Entropy (Feb 2020)

Binary Communication with Gazeau–Klauder Coherent States

  • Jerzy Dajka,
  • Jerzy Łuczka

DOI
https://doi.org/10.3390/e22020201
Journal volume & issue
Vol. 22, no. 2
p. 201

Abstract

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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.

Keywords