Interpolating between Positive and Completely Positive Maps: A New Hierarchy of Entangled States

A new class of positive maps is introduced. It interpolates between positive and completely positive maps. It is shown that this class gives rise to a new characterization of entangled states. Additionally, it provides a refinement of the well-known classes of entangled states characterized in terms...

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Autores principales: Siudzińska, Katarzyna, Chakraborty, Sagnik, Chruściński, Dariusz
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8157235/
https://www.ncbi.nlm.nih.gov/pubmed/34069812
http://dx.doi.org/10.3390/e23050625
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author Siudzińska, Katarzyna
Chakraborty, Sagnik
Chruściński, Dariusz
author_facet Siudzińska, Katarzyna
Chakraborty, Sagnik
Chruściński, Dariusz
author_sort Siudzińska, Katarzyna
collection PubMed
description A new class of positive maps is introduced. It interpolates between positive and completely positive maps. It is shown that this class gives rise to a new characterization of entangled states. Additionally, it provides a refinement of the well-known classes of entangled states characterized in terms of the Schmidt number. The analysis is illustrated with examples of qubit maps.
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spelling pubmed-81572352021-05-28 Interpolating between Positive and Completely Positive Maps: A New Hierarchy of Entangled States Siudzińska, Katarzyna Chakraborty, Sagnik Chruściński, Dariusz Entropy (Basel) Article A new class of positive maps is introduced. It interpolates between positive and completely positive maps. It is shown that this class gives rise to a new characterization of entangled states. Additionally, it provides a refinement of the well-known classes of entangled states characterized in terms of the Schmidt number. The analysis is illustrated with examples of qubit maps. MDPI 2021-05-18 /pmc/articles/PMC8157235/ /pubmed/34069812 http://dx.doi.org/10.3390/e23050625 Text en © 2021 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
Siudzińska, Katarzyna
Chakraborty, Sagnik
Chruściński, Dariusz
Interpolating between Positive and Completely Positive Maps: A New Hierarchy of Entangled States
title Interpolating between Positive and Completely Positive Maps: A New Hierarchy of Entangled States
title_full Interpolating between Positive and Completely Positive Maps: A New Hierarchy of Entangled States
title_fullStr Interpolating between Positive and Completely Positive Maps: A New Hierarchy of Entangled States
title_full_unstemmed Interpolating between Positive and Completely Positive Maps: A New Hierarchy of Entangled States
title_short Interpolating between Positive and Completely Positive Maps: A New Hierarchy of Entangled States
title_sort interpolating between positive and completely positive maps: a new hierarchy of entangled states
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8157235/
https://www.ncbi.nlm.nih.gov/pubmed/34069812
http://dx.doi.org/10.3390/e23050625
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