Abstract
Mutually unbiased bases (MUBs), a kind of important best measurement base, is widely applied to quantum information processing. In this paper, we obtain the different unextendible maximally entangled bases (UMEBs) by constructing unitary matrices in bipartite systems HCode \(C^{d}\otimes C^{d^{\prime }}(\frac {d^{\prime }}{2}< d< d^{\prime })\). Then, we show that the sufficient and necessary conditions for UMEBs extend to MUBs in this bipartite systems. Finally, these results are generalized in bipartite systems \(C^{d}\otimes C^{d^{\prime }}(d^{\prime }=qd+r,\ 0<r<d,\ q,\ r\in Z^{+})\).
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This work was supported by the National Science Foundation of China (Grant No.11671284), Sichuan Science Foundation and Technology Program (Grant No.2020YFG0290).
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Tang, L., Xiong, Sy., Li, Wj. et al. The Construction of Mutually Unbiased Unextendible Maximally Entangled Bases. Int J Theor Phys 60, 2054–2065 (2021). https://doi.org/10.1007/s10773-021-04822-z
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DOI: https://doi.org/10.1007/s10773-021-04822-z