Construction of a Family of Maximally Entangled Bases in ℂ(d) ⊗ ℂ(d′)

In this paper, we present a new method for the construction of maximally entangled states in [Formula: see text] when [Formula: see text]. A systematic way of constructing a set of maximally entangled bases (MEBs) in [Formula: see text] was established. Both cases when [Formula: see text] is divisib...

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Detalles Bibliográficos
Autores principales: Wang, Chenghong, Wang, Kun, Zheng, Zhu-Jun
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8947010/
https://www.ncbi.nlm.nih.gov/pubmed/35327884
http://dx.doi.org/10.3390/e24030373
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author Wang, Chenghong
Wang, Kun
Zheng, Zhu-Jun
author_facet Wang, Chenghong
Wang, Kun
Zheng, Zhu-Jun
author_sort Wang, Chenghong
collection PubMed
description In this paper, we present a new method for the construction of maximally entangled states in [Formula: see text] when [Formula: see text]. A systematic way of constructing a set of maximally entangled bases (MEBs) in [Formula: see text] was established. Both cases when [Formula: see text] is divisible by d and not divisible by d are discussed. We give two examples of maximally entangled bases in [Formula: see text] , which are mutually unbiased bases. Finally, we found a new example of an unextendible maximally entangled basis (UMEB) in [Formula: see text].
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spelling pubmed-89470102022-03-25 Construction of a Family of Maximally Entangled Bases in ℂ(d) ⊗ ℂ(d′) Wang, Chenghong Wang, Kun Zheng, Zhu-Jun Entropy (Basel) Article In this paper, we present a new method for the construction of maximally entangled states in [Formula: see text] when [Formula: see text]. A systematic way of constructing a set of maximally entangled bases (MEBs) in [Formula: see text] was established. Both cases when [Formula: see text] is divisible by d and not divisible by d are discussed. We give two examples of maximally entangled bases in [Formula: see text] , which are mutually unbiased bases. Finally, we found a new example of an unextendible maximally entangled basis (UMEB) in [Formula: see text]. MDPI 2022-03-06 /pmc/articles/PMC8947010/ /pubmed/35327884 http://dx.doi.org/10.3390/e24030373 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
Wang, Chenghong
Wang, Kun
Zheng, Zhu-Jun
Construction of a Family of Maximally Entangled Bases in ℂ(d) ⊗ ℂ(d′)
title Construction of a Family of Maximally Entangled Bases in ℂ(d) ⊗ ℂ(d′)
title_full Construction of a Family of Maximally Entangled Bases in ℂ(d) ⊗ ℂ(d′)
title_fullStr Construction of a Family of Maximally Entangled Bases in ℂ(d) ⊗ ℂ(d′)
title_full_unstemmed Construction of a Family of Maximally Entangled Bases in ℂ(d) ⊗ ℂ(d′)
title_short Construction of a Family of Maximally Entangled Bases in ℂ(d) ⊗ ℂ(d′)
title_sort construction of a family of maximally entangled bases in ℂ(d) ⊗ ℂ(d′)
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8947010/
https://www.ncbi.nlm.nih.gov/pubmed/35327884
http://dx.doi.org/10.3390/e24030373
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