

Preprint 51/2018
Constructions of Unextendible Maximally Entangled Bases in 
Gui-Jun Zhang, Yuan-Hong Tao, Yi-Fan Han, Xin-Lei Yong, and Shao-Ming Fei
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Submission date: 17. Jul. 2018
Pages: 15
published in: Scientific Reports, 8 (2018), art-no. 3193
DOI number (of the published article): 10.1038/s41598-018-21561-0
Bibtex
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Abstract:
We study unextendible maximally entangled bases (UMEBs) in (d < d′). An operational method to construct d(d′− 1)-number UMEBs is established, and two 25-member UMEBs in
and
are given as examples. Furthermore, a systematic way of constructing d(d′− r)-number UMEBs in
is presented for r = 1,2,
,d − 1. Correspondingly, two UMEBs in
are obtained.