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Binary Communication with Gazeau–Klauder Coherent States

by Jerzy Dajka 1,2,3,* and Jerzy Łuczka 1,3,4
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
*
Author to whom correspondence should be addressed.
Entropy 2020, 22(2), 201; https://doi.org/10.3390/e22020201
Received: 19 December 2019 / Revised: 30 January 2020 / Accepted: 6 February 2020 / Published: 10 February 2020
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 Gazeau–Klauder coherent states; Helstrom bound
MDPI and ACS Style

Dajka, J.; Łuczka, J. Binary Communication with Gazeau–Klauder Coherent States. Entropy 2020, 22, 201.

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