Non-stationary quantum walks on the cycle

被引：9

作者：

D'Alessandro, Domenico ^{[1
]}

Parlangeli, Gianfranco ^{[2
]}

Albertini, Francesca ^{[3
]}

机构：

[1] Iowa State Univ, Dept Math, Ames, IA 50011 USA

[2] Univ Salento, Dipartimento Ingn Innovazione, Lecce, Italy

[3] Univ Padua, Dipartimento Matemat Pura Appl, Padua, Italy

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2007年 / 40卷 / 48期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1088/1751-8113/40/48/010

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider quantum walks on the cycle in the non-stationary case where the 'coin' operation is allowed to change at each time step. We characterize, in algebraic terms, the set of possible state transfers and prove that, as opposed to the stationary case, the associate probability distribution may converge to a uniform distribution among the nodes of the associated graph.

引用

页码：14447 / 14455

页数：9

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