Continuous-time quantum walks on the threshold network model
Quantum Physics
2010-11-12 v1
Abstract
It is well known that many real world networks have the power-law degree distribution (scale-free property). However there are no rigorous results for continuous-time quantum walks on such realistic graphs. In this paper, we analyze space-time behaviors of continuous-time quantum walks and random walks on the threshold network model which is a reasonable candidate model having scale-free property. We show that the quantum walker exhibits localization at the starting point, although the random walker tends to spread uniformly.
Cite
@article{arxiv.1003.0055,
title = {Continuous-time quantum walks on the threshold network model},
author = {Yusuke Ide and Norio Konno},
journal= {arXiv preprint arXiv:1003.0055},
year = {2010}
}
Comments
12 pages