Mixedness, Coherence and Entanglement in a Family of Three-Qubit States

We consider a family of states describing three-qubit systems. We derived formulas showing the relations between linear entropy and measures of coherence such as degree of coherence, first- and second-order correlation functions. We show that qubit–qubit states are strongly entangled when linear ent...

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Autores principales: Kalaga, Joanna K., Leoński, Wiesław, Szczȩśniak, Radosław, Peřina, Jan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8947429/
https://www.ncbi.nlm.nih.gov/pubmed/35327835
http://dx.doi.org/10.3390/e24030324
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author Kalaga, Joanna K.
Leoński, Wiesław
Szczȩśniak, Radosław
Peřina, Jan
author_facet Kalaga, Joanna K.
Leoński, Wiesław
Szczȩśniak, Radosław
Peřina, Jan
author_sort Kalaga, Joanna K.
collection PubMed
description We consider a family of states describing three-qubit systems. We derived formulas showing the relations between linear entropy and measures of coherence such as degree of coherence, first- and second-order correlation functions. We show that qubit–qubit states are strongly entangled when linear entropy reaches some range of values. For such states, we derived the conditions determining boundary values of linear entropy parametrized by measures of coherence.
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spelling pubmed-89474292022-03-25 Mixedness, Coherence and Entanglement in a Family of Three-Qubit States Kalaga, Joanna K. Leoński, Wiesław Szczȩśniak, Radosław Peřina, Jan Entropy (Basel) Article We consider a family of states describing three-qubit systems. We derived formulas showing the relations between linear entropy and measures of coherence such as degree of coherence, first- and second-order correlation functions. We show that qubit–qubit states are strongly entangled when linear entropy reaches some range of values. For such states, we derived the conditions determining boundary values of linear entropy parametrized by measures of coherence. MDPI 2022-02-24 /pmc/articles/PMC8947429/ /pubmed/35327835 http://dx.doi.org/10.3390/e24030324 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Kalaga, Joanna K.
Leoński, Wiesław
Szczȩśniak, Radosław
Peřina, Jan
Mixedness, Coherence and Entanglement in a Family of Three-Qubit States
title Mixedness, Coherence and Entanglement in a Family of Three-Qubit States
title_full Mixedness, Coherence and Entanglement in a Family of Three-Qubit States
title_fullStr Mixedness, Coherence and Entanglement in a Family of Three-Qubit States
title_full_unstemmed Mixedness, Coherence and Entanglement in a Family of Three-Qubit States
title_short Mixedness, Coherence and Entanglement in a Family of Three-Qubit States
title_sort mixedness, coherence and entanglement in a family of three-qubit states
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8947429/
https://www.ncbi.nlm.nih.gov/pubmed/35327835
http://dx.doi.org/10.3390/e24030324
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