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Geometry of skew information-based quantum coherence
Zhaoqi Wu, Huai-Jing Huang, Shao-Ming Fei and Xianqing Li-Jost
We study the skew information-based coherence of quantum states and derive explicit formulas for Werner states and isotropic states in a set of autotensor of mutually unbiased bases (AMUBs). 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 mutually unbiased bases. 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.