Abstract Firstly,a systematic way of constructing mutually unbiased unextendible maximally entangledbases (MUUMEBs) was given in bipartite quantum system C d ×C 3l d'from MUUMEBs in C d ×C d' (d' = kd+ r). Then,the result showed that the pair of MUUMEBs in C 4 ×C 15 could be obtained by constructinga pair of MUMEBs in C 4 ×C 5 . Finally,the method of constructing the MUUMEBs was generalized to C d×C el d'in the bipartite quantum system C d ×C 2l d' .
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Received: 18 September 2020
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