Tsallis relativeαentropy of coherence dynamics in Grover′s search algorithm  

作　　者：Linlin Ye Zhaoqi Wu Shao-Ming Fei 

机构地区：[1]Department of Mathematics,Nanchang University,Nanchang 330031,China [2]School of Mathematical Sciences,Capital Normal University,Beijing 100048,China

出　　处：《Communications in Theoretical Physics》2023年第8期87-99,共13页理论物理通讯（英文版）

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。

摘　　要：Quantum coherence plays a central role in Grover’s search algorithm.We study the Tsallis relative a entropy of coherence dynamics of the evolved state in Grover’s search algorithm.We 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 probability.We show that the operator coherence of the first H■relies on the size of the database N,the success probability and the target states.Moreover,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.

关 键 词：quantum coherence Grover's search algorithm Tsallis relativeαentropy of coherence 

分 类 号：O413.1[理学—理论物理]