文摘
We systematically study the unextendible maximally entangled basis in arbitrary bipartite spaces \(\mathbb {C}^{d} \otimes \mathbb {C}^{d^{\prime }}\ (d . We give an example of UMEB in \(\mathbb {C}^{2} \otimes \mathbb {C}^{5}\) , and show that there are q d 2-member UMEBs in \(\mathbb {C}^{d} \otimes \mathbb {C}^{d^{\prime }}(d^{\prime }=qd+r, \ q,r\in \mathbb {Z}^{+}, r . Moreover, we present two complete UMEBs in \(\mathbb {C}^{3} \otimes \mathbb {C}^{4}\) which are mutually unbiased.