Limit Distribution for a Time-Inhomogeneous 2-State Quantum Walk

被引：4

作者：

Machida, Takuya ^{[1
]}

机构：

[1] Meiji Univ, Japan Soc Promot Sci, Meiji Inst Adv Study Math Sci, Tama Ku, Kawasaki, Kanagawa 2148571, Japan

来源：

JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE | 2013年 / 10卷 / 07期

关键词：

Limit Distribution; Localization; 2-State Quantum Walk; THEOREMS;

D O I：

10.1166/jctn.2013.3090

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

We consider 2-state quantum walks (QWs) on the line, which are defined by two matrices. One of the matrices operates the walk in certain intervals. In the usual QWs starting from the origin, localization does not occur at all. However, our walk can be localized around the origin. In this paper, we present some limit distributions for the walk.

引用

页码：1571 / 1578

页数：8

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