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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...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2022
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Materias: | |
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]. |
format | Online Article Text |
id | pubmed-8947010 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
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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