Preprint 101/2014

Unextendible maximally entangled bases in d d

Yan-Ling Wang, Mao-Sheng Li, and Shao-Ming Fei

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Submission date: 01. Oct. 2014
Pages: 6
published in: Physical review / A, 90 (2014) 3, art-no. 034301 
DOI number (of the published article): 10.1103/PhysRevA.90.034301
PACS-Numbers: 03.67.Mn, 03.65.Ud, 03.67.Hk
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We investigate the unextendible maximally entangled bases in d d and present a 30-number UMEB construction in 6 6. For higher dimensional case, we show that for a given N-number UMEB in d d, there is a ^N-number, N^ = (qd)2 (d2 N), UMEB in qd qd for any q . As an example, for 12n 12n systems, we show that there are at least two sets of UMEBs which are not equivalent.

02.07.2022, 02:17