Unextendible maximally entangled bases in ℂd ⊗ ℂd
Yan-Ling Wang, Mao-Sheng Li, and Shao-Ming Fei
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Submission date: 01. Oct. 2014
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 ℂd ⊗ ℂd and present a 30-number UMEB construction in ℂ6 ⊗ ℂ6. For higher dimensional case, we show that for a given N-number UMEB in ℂd ⊗ ℂd, there is a -number, = (qd)2 − (d2 − N), UMEB in ℂqd ⊗ ℂqd for any q ∈ ℕ. As an example, for ℂ12n ⊗ ℂ12n systems, we show that there are at least two sets of UMEBs which are not equivalent.