Bounds on positive operator-valued measure based coherence of superposition  

作　　者：郭梦丽 梁津敏 李波 费少明 王志玺 Meng-Li Guo;Jin-Min Liang;Bo Li;Shao-Ming Fei;Zhi-Xi Wang(School of Mathematical Sciences,Capital Normal University,Beijing 100048,China;School of Computer and Computing Science,Hangzhou City University,Hangzhou 310015,China;Max-Planck-Institute for Mathematics in the Sciences,Leipzig 04103,Germany)

机构地区：[1]School of Mathematical Sciences,Capital Normal University,Beijing 100048,China [2]School of Computer and Computing Science,Hangzhou City University,Hangzhou 310015,China [3]Max–Planck-Institute for Mathematics in the Sciences,Leipzig 04103,Germany

出　　处：《Chinese Physics B》2023年第5期228-234,共7页中国物理B（英文版）

基　　金：the National Natural Science Foundation of China(Grant Nos.12075159,12171044,and 12175147);the Natural Science Foundation of Beijing(Grant No.Z190005);the Academician Innovation Platform of Hainan Province;Shenzhen Institute for Quantum Science and Engineering;Southern University of Science and Technology(Grant No.SIQSE202001)。

摘　　要：Quantum coherence is a fundamental feature of quantum physics and plays a significant role in quantum information processing.By generalizing the resource theory of coherence from von Neumann measurements to positive operatorvalued measures(POVMs),POVM-based coherence measures have been proposed with respect to the relative entropy of coherence,the l_(1) norm of coherence,the robustness of coherence and the Tsallis relative entropy of coherence.We derive analytically the lower and upper bounds on these POVM-based coherence of an arbitrary given superposed pure state in terms of the POVM-based coherence of the states in superposition.Our results can be used to estimate range of quantum coherence of superposed states.Detailed examples are presented to verify our analytical bounds.

关 键 词：COHERENCE POVM-based coherence relative entropy l_(1)norm Tsallis relative entropy 

分 类 号：O413[理学—理论物理]