English

Quantum walks on two kinds of two-dimensional models

Quantum Physics 2015-09-01 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1501.01816,
  title  = {Quantum walks on two kinds of two-dimensional models},
  author = {Dan Li and Michael Mc Gettrick and Wei-Wei Zhang and Ke-Jia Zhang},
  journal= {arXiv preprint arXiv:1501.01816},
  year   = {2015}
}
R2 v1 2026-06-22T07:54:58.170Z