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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
54/2020

Geometry of skew information-based quantum coherence

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

Abstract

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.

Received:
08.05.2020
Published:
14.05.2020

Related publications

inJournal
2020 Repository Open Access
Zhaoqi Wu, Huai-Jing Huang, Shao-Ming Fei and Xianqing Li-Jost

Geometry of skew information-based quantum coherence

In: Communications in theoretical physics, 72 (2020) 10, p. 105102