Quantifying coherence of quantum channels based on the generalized α-z-relative Renyi entropy

被引：0
作者：
Fan, Jiaorui [1 ]
Wu, Zhaoqi [1 ]
Fei, Shao-Ming [2 ,3 ]
机构：
[1] Nanchang Univ, Dept Math, Nanchang 330031, Peoples R China
[2] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
[3] Max Planck Inst Math Sci, D-04103 Leipzig, Germany
来源：
QUANTUM INFORMATION PROCESSING | 2024年 / 23卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Quantum coherence; Generalized alpha-z-relative Renyi entropy; Quantum channel; Choi-Jamiolkowski isomorphism; ENTANGLEMENT; INFORMATION;
D O I：
10.1007/s11128-024-04309-w
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
By using the Choi-Jamiolkowski isomorphism, we propose a well-defined coherence measure of quantum channels based on the generalized alpha-z-relative Renyi entropy. In addition, we present an alternative coherence measure of quantum channels by quantifying the commutativity between the channels and the completely dephasing channels with the generalized alpha-z-relative Renyi entropy. Some elegant properties of the measures are illustrated in detail. Explicit formulas of these coherence measures are derived for some detailed typical quantum channels.
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页数：23
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