Tsallis relativeαentropy of coherence dynamics in Grover′s search algorithm

作     者：Linlin Ye Zhaoqi Wu Shao-Ming Fei Linlin Ye;Zhaoqi Wu;Shao-Ming Fei

作者机构：Department of MathematicsNanchang UniversityNanchang 330031China School of Mathematical SciencesCapital Normal UniversityBeijing 100048China 

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

年 卷 期：2023年第75卷第8期

页      面：87-99页

核心收录：

学科分类：0809[工学-电子科学与技术（可授工学、理学学位）] 07[理学] 070205[理学-凝聚态物理] 08[工学] 0702[理学-物理学] 

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.12161056,12075159,12171044) Beijing Natural Science Foundation(Grant No.Z190005) the Academician Innovation Platform of Hainan Province 

主　　题：quantum coherence Grover's search algorithm Tsallis relativeαentropy of coherence 

摘      要：Quantum coherence plays a central role in Grover’s search *** study the Tsallis relative a entropy of coherence dynamics of the evolved state in Grover’s search *** prove that the Tsallis relative a entropy of coherence decreases with the increase of the success probability,and derive the complementarity relations between the coherence and the success *** show that the operator coherence of the first H■relies on the size of the database N,the success probability and the target ***,we illustrate the relationships between coherence and entanglement of the superposition state of targets,as well as the production and deletion of coherence in Grover iterations.