论文标题

从不可扩展的最大纠缠基地中构建相互无偏的基础

Constructing mutually unbiased bases from unextendible maximally entangled bases

论文作者

Zhao, Hui, Zhang, Lin, Fei, Shao-Ming, Jing, Naihuan

论文摘要

我们研究了互无偏基(MUB),其中所有碱都是不可避免的最大纠缠的基础。我们首先提出了在$ c^2 \ otimes c^4 $中构建一对Mub的必要条件。基于这种情况,给出了构造MUB的分析和必要条件。此外,我们通过$ c^2 \ otimes c^4 $中的一些详细示例来说明我们的方法。将结果推广到$ c^2 \ otimes c^d $ $(d \ geq 3)$,并给出了$ c^2 \ otimes c^8 $中的具体示例。

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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