Discrete-Time Quantum Random Walks on the N-ary Tree

HAN Qi; LU Ziqiang; HAN Yanan; CHEN Zhihe

doi:10.3969/j.issn.1001-4268.2022.01.006

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 Statistics, 2022, 38(1): 86-98. DOI: 10.3969/j.issn.1001-4268.2022.01.006

Citation:

Discrete-Time Quantum Random Walks on the N-ary Tree

Graphical Abstract

Abstract

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.

FullText(HTML)

References (0)

Supplements (0)

Cited By

Turn off MathJax

Article Contents

Discrete-Time Quantum Random Walks on the N-ary Tree

Abstract

Catalog

Export File

Citation

Format

Content