One-dimensional quantum walks with a position-dependent coin

作     者：Rashid Ahmad Uzma Sajjad Muhammad Sajid Rashid Ahmad;Uzma Sajjad;Muhammad Sajid

作者机构：Department of PhysicsKohat University of Science and TechnologyKohat 26000Khyber-PakhtunkhwaPakistan 

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

年 卷 期：2020年第72卷第6期

页      面：18-28页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

主　　题：quantum walk position-dependent coin Shannon entropy 

摘      要：We investigate the evolution of a discrete-time one-dimensional quantum walk driven by a position-dependent *** rotation angle,which depends upon the position of a quantum particle,parameterizes the coin *** different values of the rotation angle,we observe that such a coin leads to a variety of probability distributions,***,periodic,classicallike,semi-classical-like,and ***,we study the Shannon entropy associated with position and the coin space of a quantum particle,and compare them with the case of the position-independent *** results show that the entropy is smaller for most values of the rotation angle as compared to the case of the position-independent *** also study the effect of entanglement on the behavior of probability distribution and Shannon entropy by considering a quantum walk with two identical position-dependent entangled *** observe that in general,a wave function becomes more localized as compared to the case of the positionindependent coin and hence the corresponding Shannon entropy is *** results show that a position-dependent coin can be used as a controlling tool of quantum walks.