Continuous-time quantum walks on star graphs

S. Salimi

doi:10.1016/j.aop.2009.03.002

Continuous-time quantum walks on star graphs

Quantum Physics 2015-05-13 v2

Authors: S. Salimi

View on arXiv ↗ PDF ↗ DOI ↗

Abstract

In this paper, we investigate continuous-time quantum walk on star graphs. It is shown that quantum central limit theorem for a continuous-time quantum walk on star graphs for $N$ -fold star power graph, which are invariant under the quantum component of adjacency matrix, converges to continuous-time quantum walk on $K_2$ graphs (Complete graph with two vertices) and the probability of observing walk tends to the uniform distribution.

Keywords

quantum walks random walk theory random graph theory

Cite

@article{arxiv.0904.2054,
  title  = {Continuous-time quantum walks on star graphs},
  author = {S. Salimi},
  journal= {arXiv preprint arXiv:0904.2054},
  year   = {2015}
}

Comments

17, page; 4 figure

Related papers

View all related →