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arXiv · 2001.09515

Constructing mutually unbiased bases from unextendible maximally entangled bases

Hui Zhao·Lin Zhang·Shao-Ming Fei·Naihuan Jing
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Abstract

We study mutually unbiased bases (MUBs) in which all the bases are unextendible maximally entangled ones. We first present a necessary and sufficient condition of constructing a pair of MUBs in $C^2 \otimes C^4$. Based on this condition, an analytical and necessary condition for constructing MUBs is given. Moreover we illustrate our approach by some detailed examples in $C^2 \otimes C^4$. The results are generalized to $C^2 \otimes C^d$ $(d\geq 3)$ and a concrete example in $C^2 \otimes C^8$ is given.

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Hui Zhao, Lin Zhang, Shao-Ming Fei, Naihuan Jing. 2020-01-26. Constructing mutually unbiased bases from unextendible maximally entangled bases. https://doi.org/10.1016/s0034-4877(20)30013-6

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