论文标题
相互无偏基的熵不确定性关系的最佳上限
Optimal upper bound of entropic uncertainty relation for mutually unbiased bases
论文作者
论文摘要
我们获得了$ n $互无偏基（MUB）的熵不确定性关系的最佳上限。我们已经使用了可以用$ n $ Mubs编写的各州的变分积分方法。当$ n $为$ d+1 $时，我们的结果对任何状态都是有效的，其中$ d $是相关系统的维度。我们为延长MUB的扩展提供了定量标准。此外，我们将结果应用于$ d+1 $可观察的互助信息，该信息以经典的记忆为条件。
We have obtained the optimal upper bound of entropic uncertainty relation for $N$ Mutually Unbiased Bases (MUBs). We have used the methods of variational calculus for the states that can be written in terms of $N$ MUBs. Our result is valid for any state when $N$ is $d+1$, where $d$ is the dimension of the related system. We provide a quantitative criterion for the extendibilty of MUBs. In addition, we have applied our result to the mutual information of $d+1$ observables conditioned with a classical memory.
