| N叉树上的离散时间量子随机行走 |
| |
| 引用本文： | 韩琦,陆自强,韩娅楠,陈芷禾.N叉树上的离散时间量子随机行走[J].应用概率统计,2022(1). |
| |
| 作者姓名： | 韩琦 陆自强 韩娅楠 陈芷禾 |
| |
| 作者单位： | 西北师范大学数学与统计学院 |
| |
| 基金项目： | The project was supported by the National Natural Science Foundation of China(Grant No.11861057). |
| |
| 摘 要： | 通过离散时间量子随机行走的框架,我们研究了在N叉树上的离散时间量子随机行走,该框架不需要硬币空间,仅仅只需要选择一个除了酉性再无其它限制的演化算子,并且包含了使用再生结构的轨道枚举和z变换.作为结果,我们在封闭形式中计算了在根处的振幅的生成函数.
|
| 关 键 词： | 量子行走 Z变换 轨道枚举 N叉树 |
Discrete-Time Quantum Random Walks on the N-ary Tree |
| |
| HAN Qi,LU Ziqiang,HAN Yanan,CHEN Zhihe.Discrete-Time Quantum Random Walks on the N-ary Tree[J].Chinese Journal of Applied Probability and Statisties,2022(1). |
| |
| Authors: | HAN Qi LU Ziqiang HAN Yanan CHEN Zhihe |
| |
| Institution: | (College of Mathematics and Statistics,Northwest Normal University,Lanzhou,730070,China) |
| |
| Abstract: | We study discrete-time quantum random walks on the N-ary tree by a framework for discrete-time quantum random walks,this framework has no need for coin spaces,it just choose the evolution operator with no constraints other than unitarity,and contain path enumeration using regeneration structures and z transform.As a result,we calculate the generating function of the amplitude at the root in closed form. |
| |
| Keywords: | quantum random walk z transform path enumeration N-ary tree |
| 本文献已被 维普 等数据库收录！ |
|
