Preprint 51/2018

Constructions of Unextendible Maximally Entangled Bases in ℂd ⊗ ℂd′

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
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We study unextendible maximally entangled bases (UMEBs) in &#x2102;d &otimes; &#x2102;d&prime; (d < d). An operational method to construct d(d′− 1)-number UMEBs is established, and two 25-member UMEBs in &#x2102;5 &otimes; &#x2102;6  and &#x2102;5 &otimes; &#x2102;12  are given as examples. Furthermore, a systematic way of constructing d(d′− r)-number UMEBs in &#x2102;d &otimes; &#x2102;d&prime; is presented for r = 1,2,&sdot;&sdot;&sdot;,d 1. Correspondingly, two UMEBs in &#x2102;3 &otimes; &#x2102;10  are obtained.

04.08.2018, 00:13