Mutually Unbiased Unextendible Maximally Entangled Bases in $mathbb {C}^{d}otimes mathbb {C}^{d + 1}$

We study mutually unbiased unextendible maximally entangled bases (MUUMEBs) in bipartite stystem (mathbb {C}^{d}otimes mathbb {C}^{d + 1}). By deriving the sufficient and necessary conditions that two MUUMEBs in (mathbb {C}^{3}otimes mathbb {C}^{4}) need to satisfy, we first establish two pairs of MUUMEBs in (mathbb {C}^{3}otimes mathbb {C}^{4}). Then we present the sufficient and necessary conditions that two MUUMEBs in bipartite system (mathbb {C}^{d}otimes mathbb {C}^{d + 1}) need to satisfy, thus generalize the main results of Halqem et al. (Int. J. Theor. Phys. 54(1), 326, 2015).