ONE-DIMENSIONAL QUANTUM WALKS WITH ONE DEFECT

被引：37

作者：

Cantero, M. J. ^{[1
]}

Gruenbaum, F. A. ^{[2
]}

Moral, L. ^{[1
]}

Velazquez, L. ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

[2] Univ Zaragoza, Dept Matemat Aplicada, Zaragoza, Spain

来源：

REVIEWS IN MATHEMATICAL PHYSICS | 2012年 / 24卷 / 02期

关键词：

Quantum walks; localization; CGMV method; CMV matrices; scalar and matrix Laurent orthogonal polynomials on the unit circle; ORTHOGONAL POLYNOMIALS; LOCALIZATION; MATRICES;

D O I：

10.1142/S0129055X1250002X

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The CGMV method allows for the general discussion of localization properties for the states of a one-dimensional quantum walk, both in the case of the integers and in the case of the nonnegative integers. Using this method we classify, according to such localization properties, all the quantum walks with one defect at the origin, providing explicit expressions for the asymptotic return probabilities to the origin.

引用

页数：52

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