Quantum Walks on Two Kinds of Two-Dimensional Models

被引:4
|
作者
Li, Dan [1 ,2 ]
Mc Gettrick, Michael [2 ]
Zhang, Wei-Wei [1 ]
Zhang, Ke-Jia [1 ]
机构
[1] Beijing Univ Posts & Telecommun, State Key Lab Networking & Switching Technol, Beijing 100876, Peoples R China
[2] Natl Univ Ireland, Sch Math, De Brun Ctr Computat Algebra, Galway, Ireland
基金
北京市自然科学基金;
关键词
Quantum walk; Cylindrical strip; Mobius strip;
D O I
10.1007/s10773-015-2514-5
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, we numerically study quantum walks on two kinds of two-dimensional graphs: cylindrical strip and Mobius strip. The two kinds of graphs are typical two-dimensional topological graph. We study the crossing property of quantum walks on these two models. Also, we study its dependence on the initial state, size of the model. At the same time, we compare the quantum walk and classical walk on these two models to discuss the difference of quantum walk and classical walk.
引用
收藏
页码:2771 / 2783
页数:13
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