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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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC5816675PMC
http://dx.doi.org/10.1038/s41598-018-21561-0DOI Listing

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