English

Perfect state transfer, Equitable partition and Continuous-time quantum walk based search

Quantum Physics 2022-09-19 v1

Abstract

In this paper, we consider a continuous-time quantum walk based search algorithm. We introduce equitable partition of the graph and perfect state transfer on it. By these two methods, we can calculate the success probability and the finding time of the search algorithm. In addition, we gave some examples of graphs that we can calculate the success probability and the finding time.

Keywords

Cite

@article{arxiv.2209.07688,
  title  = {Perfect state transfer, Equitable partition and Continuous-time quantum walk based search},
  author = {Yusuke Ide and Akihiro Narimatsu},
  journal= {arXiv preprint arXiv:2209.07688},
  year   = {2022}
}

Comments

12pages

R2 v1 2026-06-28T01:24:54.853Z