Binary Communication with Gazeau–Klauder Coherent States

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...

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Bibliographic Details
Main Authors: Jerzy Dajka, Jerzy Łuczka
Format: Article
Language:English
Published: MDPI AG 2020-02-01
Series:Entropy
Subjects:
gazeau–klauder coherent states
helstrom bound
Online Access:https://www.mdpi.com/1099-4300/22/2/201
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spelling doaj-6de9c40c37924c0aa6f03798654b624e2020-11-25T01:40:01ZengMDPI AGEntropy1099-43002020-02-0122220110.3390/e22020201e22020201Binary Communication with Gazeau–Klauder Coherent StatesJerzy Dajka0Jerzy Łuczka1Institute of Physics, University of Silesia in Katowice, 40-007 Katowice, PolandInstitute of Physics, University of Silesia in Katowice, 40-007 Katowice, PolandWe 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.https://www.mdpi.com/1099-4300/22/2/201gazeau–klauder coherent stateshelstrom bound
collection DOAJ
language English
format Article
sources DOAJ
author Jerzy Dajka
Jerzy Łuczka
spellingShingle Jerzy Dajka
Jerzy Łuczka
Binary Communication with Gazeau–Klauder Coherent States
Entropy
gazeau–klauder coherent states
helstrom bound
author_facet Jerzy Dajka
Jerzy Łuczka
author_sort Jerzy Dajka
title Binary Communication with Gazeau–Klauder Coherent States
title_short Binary Communication with Gazeau–Klauder Coherent States
title_full Binary Communication with Gazeau–Klauder Coherent States
title_fullStr Binary Communication with Gazeau–Klauder Coherent States
title_full_unstemmed Binary Communication with Gazeau–Klauder Coherent States
title_sort binary communication with gazeau–klauder coherent states
publisher MDPI AG
series Entropy
issn 1099-4300
publishDate 2020-02-01
description 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.
topic gazeau–klauder coherent states
helstrom bound
url https://www.mdpi.com/1099-4300/22/2/201
work_keys_str_mv AT jerzydajka binarycommunicationwithgazeauklaudercoherentstates
AT jerzyłuczka binarycommunicationwithgazeauklaudercoherentstates
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