Quantum Walks on Trees with Disorder: Decay, Diffusion, and Localization
Quantum Physics
2013-05-30 v1
Abstract
Quantum walks have been shown to have impressive transport properties compared to classical random walks. However, imperfections in the quantum walk algorithm can destroy any quantum mechanical speed-up due to Anderson localization. We numerically study the effect of static disorder on a quantum walk on the glued trees graph. For small disorder, we find that the dominant effect is a type of quantum decay, and not quantum localization. For intermediate disorder, there is a crossover to diffusive transport, while a localization transition is observed at large disorder, in agreement with Anderson localization on the Cayley tree.
Cite
@article{arxiv.1206.3178,
title = {Quantum Walks on Trees with Disorder: Decay, Diffusion, and Localization},
author = {Steven R. Jackson and Teng Jian Khoo and Frederick W. Strauch},
journal= {arXiv preprint arXiv:1206.3178},
year = {2013}
}
Comments
12 pages, 13 figures