Sufficient Conditions of the Same State Order Induced by Coherence  

作　　者：Pu-Gang Zhang Yong-Ming Li 张福刚;李永明(School of Mathematics and Information Science, Shaanxi Normal University;College of Computer Science, Shaanxi Normal University)

机构地区：[1]ZSchool of Mathematics and Information Science,Shaanxi Normal University,Xi＇an 710119,China [2]College of Computer Science,Shaanxi Normal University,Xi＇an 710119 China

出　　处：《Communications in Theoretical Physics》2018年第8期137-144,共8页理论物理通讯（英文版）

基　　金：Supported by National Natural Science Foundation of China under Grant Nos.11671244;The Higher School Doctoral Subject Foundation of Ministry of Education of China under Grant No.20130202110001;Fundamental Research Funds for the Central Universities under Grant No.2016CBY003

摘　　要：In this paper, we study coherence-induced state ordering with Tsallis relative entropy of coherence, relative entropy of coherence and l1 norm of coherence, and give the sufficient conditions of the same state order induced by above coherence measures. First, we show that the above measures give the same ordering for single-qubit states in some special cases. Second, we consider some special states in a d-dimensional quantum system. We show that the above measures generate the same ordering for these special states. Finally, we discuss dynamics of coherence-induced state ordering under Markovian channels. We find amplitude damping channel changes the coherence-induced ordering even though for single-qubit states with fixed mixedness.

关 键 词：Tsallis relative entropy of coherence relative entropy of coherence l1 norm of coherence coherence-induced state ordering 

分 类 号：O413.1[理学—理论物理]