Three-state quantum walks on cycles

被引：4

作者：

Han, Qi ^{[1
]}

Bai, Ning ^{[1
]}

Kou, Yaxin ^{[1
]}

Wang, Huan ^{[1
]}

机构：

[1] Northwest Normal Univ, Sch Math & Stat, Lanzhou 730070, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2022年 / 36卷 / 15期

基金：

中国国家自然科学基金;

关键词：

Three-state quantum walk; shift operator; Grover operator; limit distribution;

D O I：

10.1142/S0217979222500758

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In this paper, on the basis of constructing a new shift operator S and choosing the Grover coin G as coin operator C, we get the standard evolution operator U on cycles. Using U, we not only got the analytical expression of wavefunction psi(s,j), but also obtained the conclusion that the limit distribution pi(nu) of N, which is not uniform distribution, regardless of N is odd or even.

引用

页数：14

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