Abstract
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).
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This work is supposed by Natural Science Foundation of China under number 11761073.
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Song, Yy., Zhang, Gj., Xu, Ls. et al. Mutually Unbiased Unextendible Maximally Entangled Bases in \(\mathbb {C}^{d}\otimes \mathbb {C}^{d + 1}\). Int J Theor Phys 57, 3785–3794 (2018). https://doi.org/10.1007/s10773-018-3891-3
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DOI: https://doi.org/10.1007/s10773-018-3891-3