We study the skew information-based coherence of quantum states and derive explicit formulas for Werner states and isotropic states in a set of autotensors of mutually unbiased bases (MUBs). We also give surfaces of skew information-based coherence for Bell-diagonal states and a special class of X states in both computational basis and in MUBs. Moreover, we depict the surfaces of the skew information-based coherence for Bell-diagonal states under various types of local nondissipative quantum channels. The results show similar as well as different features compared with relative entropy of coherence and l 1 norm of coherence.

中文翻译：

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基于偏态信息的量子相干几何

我们研究了基于偏态信息的量子态相干性，并在一组互不偏基（MUBs）的自动张量中推导了Werner态和各向同性态的显式公式。在计算基础和MUB中，我们还给出了贝尔斜角状态和X类特殊类的基于偏度信息的相干性的表面。此外，我们描绘了在各种类型的局部非耗散量子通道下贝尔对角线状态的基于倾斜信息的相干表面。结果表明，与相干的相对熵和相干的l 1范数相比，特征具有相似和不同的特征。