Preprint 54/2020

Geometry of skew information-based quantum coherence

Zhaoqi Wu, Huai-Jing Huang, Shao-Ming Fei, and Xianqing Li-Jost

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Submission date: 08. May. 2020
Pages: 20
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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 l1 norm of coherence.

10.06.2020, 02:16