Block-coherence measures and coherence measures based on positive-operator-valued measures

作     者：Liangxue Fu Fengli Yan Ting Gao Liangxue Fu;Fengli Yan;Ting Gao

作者机构：College of PhysicsHebei Key Laboratory of Photophysics Research and ApplicationHebei Normal UniversityShijiazhuang 050024China School of Mathematical SciencesHebei Normal UniversityShijiazhuang 050024China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2022年第74卷第2期

页      面：51-59页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 0702[理学-物理学] 

基　　金：supported by the National Natural Science Foundation of China under Grant No.12071110 the Hebei Natural Science Foundation of China under Grant No.A2020205014 the Science and Technology Project of Hebei Education Department under Grant Nos.ZD2020167 and ZD2021066。 

主　　题：coherence measure block-coherence measure positive-operator-valued measure 

摘      要：We study block-coherence measures based on the resource theory of block-coherence and coherence measures based on positive-operator-valued measures(POVM).Several blockcoherence measures are presented,including the block-coherence measure based on maximum relative entropy,the one-shot block-coherence cost under maximally block-incoherent operations,and the coherence measure based on coherent rank.Their relationships are obtained.Moreover,we describe the deterministic coherence dilution process by constructing blockincoherent operations.Based on the POVM coherence resource theory,we also propose two coherence measures and analyze their relationship.