含时硬币算符作用下量子行走的传输和纠缠特性  

Spreading and Entanglement of QuantumWalk with Step-dependent Coin Operator

作　　者：贾雅利 李志坚[1] JIAYali;LI Zhijian(Institute of Theoretical Physics,Shanxi University,Taiyuan 030006,China)

机构地区：[1]山西大学理论物理研究所,山西太原030006

出　　处：《山西大学学报（自然科学版）》2022年第1期137-144,共8页Journal of Shanxi University(Natural Science Edition)

基　　金：山西省自然科学基金(201601D011009)。

摘　　要：在一维晶格离散时间量子行走中,我们引入含时硬币算符,分别研究了由单个硬币算符和两个硬币算符直积作用下的概率分布及纠缠动力学行为。研究发现在改变硬币参数的情况下,单个硬币作用和两个硬币作用的量子行走都可以展示包括动力学局域化,量子弹道传输在内的丰富的动力学行为,而且硬币自由度和位置自由度之间的纠缠随演化时间的增加出现周期性振荡或者在较短时间内达到最大纠缠。特别是,在由两个硬币算符作用下的量子行走中,可以通过控制演化步数得到具有不同分布特征的概率分布,对进行量子操控具有重要意义。For discrete-time quantum walk on one-dimensional lattice,we introduce a new kind of coin operator that depends on the evolution step t,and study the probability distribution and entanglement dynamics of the discrete-time quantum walk driven by a single coin operator and the direct product of two coin operators respectively.The results indicated that both of two driven-type quantum walks exhibited the dynamic behaviors,including complete localization,periodic localization and diffusive distribution,when we changed the coin parameter.Meanwhile,the dynamic periodical oscillation or rapidly reaching the maximum of the entanglement between the degrees of freedom of the coin and the position were displayed.In particular,the probability distribution with different characteristics were obtained by controlling the evolution steps for two-coin-operator driven quantum walk,which was significant to the quantum manipulation.

关 键 词：量子行走 概率分布 量子纠缠 

分 类 号：O413[理学—理论物理]