WEAK LIMITS FOR QUANTUM WALKS ON THE HALF-LINE

被引：5

作者：

Liu, Chaobin ^{[1
]}

Petulante, Nelson ^{[1
]}

机构：

[1] Bowie State Univ, Dept Math, Bowie, MD 20715 USA

来源：

INTERNATIONAL JOURNAL OF QUANTUM INFORMATION | 2013年 / 11卷 / 06期

关键词：

Weak limit; quantum walks on the half-line; general condition at the boundary; localization; THEOREMS;

D O I：

10.1142/S0219749913500548

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

For a discrete two-state quantum walk (QW) on the half-line with a general condition at the boundary, we formulate and prove a weak limit theorem describing the terminal behavior of its transition probabilities. In this context, localization is possible even for a walk predicated on the assumption of homogeneity. For the Hadamard walk on the half-line, the weak limit is shown to be independent of the initial coin state and to exhibit no localization.

引用

页数：13

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