初态对光波导阵列中连续量子行走影响的研究  

Effects of initial states on continuous-time quantum walk in the optical waveguide array

作　　者：任春年[1,2] 史鹏[1] 刘凯[1] 李文东[1] 赵洁[1] 顾永建[1] 

机构地区：[1]中国海洋大学信息科学与工程学院,青岛266100 [2]青岛科技大学信息科学与技术学院,青岛266046

出　　处：《物理学报》2013年第9期43-48,共6页Acta Physica Sinica

摘　　要：本文使用近邻耦合模型得到的解析解,分析了周期性波导中输入态对量子行走的粒子数的概率分布函数和二阶相干性的影响.结果表明:输入态的对称性质对量子行走过程的二阶相干度有影响,而对粒子数的概率分布函数影响不大.Continuous-time quantum random walk is constructed when photons propagate passing the branches of the waveguide array. It is possible to make quantum simulator, based on the quantum walk in waveguides, on a commercial scale firstly, but there are still some problems such as input state, the structure and boundary of the waveguides that should be treated at present. A nearest-neighbor coupling model is used to deal with the question of coupled waveguides and an explicit analytical solution can be derived. Using the analytical solution, we analyze the effects of input state on particle number probability distribution function and the second-order coherence degree of the quantum walk process in periodic waveguides. The results show that the symmetry properties of the input state would influence the distribution of second-order coherence degree, but have little effect on the probability distribution function.

关 键 词：周期性光波导阵列 量子行走 二阶相干度 纠缠态 

分 类 号：O431.2[机械工程—光学工程]