Fractional recurrence in discrete-time quantum walk

被引：21

作者：

Chandrashekar, C. M. ^{[1
,2
]}

机构：

[1] Univ Waterloo, Inst Quantum Comp, Waterloo, ON N2L 3G1, Canada

[2] Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada

来源：

CENTRAL EUROPEAN JOURNAL OF PHYSICS | 2010年 / 8卷 / 06期

关键词：

quantum walk; recurrence; polya number;

D O I：

10.2478/s11534-010-0023-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Quantum recurrence theorem holds for quantum systems with discrete energy eigenvalues and fails to hold in general for systems with continuous energy. We show that during quantum walk process dominated by interference of amplitude corresponding to different paths fail to satisfy the complete quantum recurrence theorem. Due to the revival of the fractional wave packet, a fractional recurrence characterized using quantum Polya number can be seen.

引用

页码：979 / 988

页数：10

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