Binary Communication with Gazeau-Klauder Coherent States

Jerzy Dajka; Jerzy Łuczka

doi:10.3390/e22020201

Binary Communication with Gazeau-Klauder Coherent States

Entropy (Basel). 2020 Feb 10;22(2):201. doi: 10.3390/e22020201.

Authors

Jerzy Dajka^{1

2

3}, Jerzy Łuczka^{1

3

4}

Affiliations

¹ Institute of Physics, University of Silesia in Katowice, 40-007 Katowice, Poland.
² Institute of Computer Science, University of Silesia in Katowice, 40-007 Katowice, Poland.
³ Silesian Center for Education and Interdisciplinary Research, University of Silesia in Katowice, 40-007 Chorzów, Poland.
⁴ Institute of Mathematics, University of Silesia in Katowice, 40-007 Katowice, Poland.

Abstract

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: Gazeau–Klauder coherent states; Helstrom bound.

Grants and funding

2015/19/B/ST2/02856/Narodowe Centrum Nauki