Continuous-Time Quantum Walk on Integer Lattices and Homogeneous Trees

被引：0
|
作者：
Vladislav Kargin
机构：
[1] Stanford University,Department of Mathematics
来源：
Journal of Statistical Physics | 2010年 / 140卷
关键词：
Quantum walk; Tree; Limit theorem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is concerned with the continuous-time quantum walk on ℤ, ℤd, and infinite homogeneous trees. By using the generating function method, we compute the limit of the average probability distribution for the general isotropic walk on ℤ, and for nearest-neighbor walks on ℤd and infinite homogeneous trees. In addition, we compute the asymptotic approximation for the probability of the return to zero at time t in all these cases.
引用
收藏
页码：393 / 408
页数：15
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