2020/09/23 by Zhao-Qi Wu, Huai-Jing Huang1, Huai-Jing Huang +2
Computer Science · Physics and Astronomy · #Basis (linear algebra) #Coherence (philosophical gambling strategy) #Entropy (arrow of time) #Isotropy #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Mechanics and Non-Hermitian Physics #Quantum relative entropy #Quantum state #Skew #quant-ph
paper · pdf · doi:10.1088/1572-9494/aba24a
published as Commun. Theor. Phys. 72 (2020) 105102 · 18 pages
openalex publication_date 2020/09/23 · openalex created_date 2020/10/01 · arxiv created 2021/08/05 · arxiv updated 2021/08/06 · openalex updated_date 2026/08/05
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 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.