Limit theorems for quantum walks associated with Hadamard matrices

被引：8

作者：

Ampadu, Clement

机构：

[1] Boston, MA 02132

来源：

PHYSICAL REVIEW A | 2011年 / 84卷 / 01期

关键词：

D O I：

10.1103/PhysRevA.84.012324

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We study a one-parameter family of discrete-time quantum walk models on Z and Z(2) associated with the Hadamard walk. Weak convergence in the long-time limit of all moments of the walker's pseudovelocity on Z and Z(2) is proved. Symmetrization on Z and Z(2) is theoretically investigated, leading to the resolution of the Konno-Namiki-Soshi conjecture in the special case of symmetrization of the unbiased Hadamard walk on Z. A necessary condition for the existence of a phenomenon known as localization is given.

引用

页数：12

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