Constructions of Unextendible Maximally Entangled Bases in [Formula: see text]

We study unextendible maximally entangled bases (UMEBs) in [Formula: see text] (d < d′). An operational method to construct UMEBs containing d(d′ − 1) maximally entangled vectors is established, and two UMEBs in [Formula: see text] and [Formula: see text] are given as examples. Furthermore, a sys...

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Autores principales: Zhang, Gui-Jun, Tao, Yuan-Hong, Han, Yi-Fan, Yong, Xin-Lei, Fei, Shao-Ming
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5816675/
https://www.ncbi.nlm.nih.gov/pubmed/29453457
http://dx.doi.org/10.1038/s41598-018-21561-0
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author Zhang, Gui-Jun
Tao, Yuan-Hong
Han, Yi-Fan
Yong, Xin-Lei
Fei, Shao-Ming
author_facet Zhang, Gui-Jun
Tao, Yuan-Hong
Han, Yi-Fan
Yong, Xin-Lei
Fei, Shao-Ming
author_sort Zhang, Gui-Jun
collection PubMed
description We study unextendible maximally entangled bases (UMEBs) in [Formula: see text] (d < d′). An operational method to construct UMEBs containing d(d′ − 1) maximally entangled vectors is established, and two UMEBs in [Formula: see text] and [Formula: see text] are given as examples. Furthermore, a systematic way of constructing UMEBs containing d(d′ − r) maximally entangled vectors in [Formula: see text] is presented for r = 1, 2, …, d − 1. Correspondingly, two UMEBs in [Formula: see text] are obtained.
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spelling pubmed-58166752018-02-21 Constructions of Unextendible Maximally Entangled Bases in [Formula: see text] Zhang, Gui-Jun Tao, Yuan-Hong Han, Yi-Fan Yong, Xin-Lei Fei, Shao-Ming Sci Rep Article We study unextendible maximally entangled bases (UMEBs) in [Formula: see text] (d < d′). An operational method to construct UMEBs containing d(d′ − 1) maximally entangled vectors is established, and two UMEBs in [Formula: see text] and [Formula: see text] are given as examples. Furthermore, a systematic way of constructing UMEBs containing d(d′ − r) maximally entangled vectors in [Formula: see text] is presented for r = 1, 2, …, d − 1. Correspondingly, two UMEBs in [Formula: see text] are obtained. Nature Publishing Group UK 2018-02-16 /pmc/articles/PMC5816675/ /pubmed/29453457 http://dx.doi.org/10.1038/s41598-018-21561-0 Text en © The Author(s) 2018 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Zhang, Gui-Jun
Tao, Yuan-Hong
Han, Yi-Fan
Yong, Xin-Lei
Fei, Shao-Ming
Constructions of Unextendible Maximally Entangled Bases in [Formula: see text]
title Constructions of Unextendible Maximally Entangled Bases in [Formula: see text]
title_full Constructions of Unextendible Maximally Entangled Bases in [Formula: see text]
title_fullStr Constructions of Unextendible Maximally Entangled Bases in [Formula: see text]
title_full_unstemmed Constructions of Unextendible Maximally Entangled Bases in [Formula: see text]
title_short Constructions of Unextendible Maximally Entangled Bases in [Formula: see text]
title_sort constructions of unextendible maximally entangled bases in [formula: see text]
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5816675/
https://www.ncbi.nlm.nih.gov/pubmed/29453457
http://dx.doi.org/10.1038/s41598-018-21561-0
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