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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Detalles Bibliográficos
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
Descripción
Sumario: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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