One-dimensional quantum walks with one defect
Quantum Physics
2010-10-28 v1
Abstract
The CGMV method allows for the general discussion of localization properties for the states of a one-dimensional quantum walk, both in the case of the integers and in the case of the non negative integers. Using this method we classify, according to such localization properties, all the quantum walks with one defect at the origin, providing explicit expressions for the asymptotic return probabilities at the origin.
Cite
@article{arxiv.1010.5762,
title = {One-dimensional quantum walks with one defect},
author = {M. J. Cantero and F. A. Grunbaum and L. Moral and L. Velazquez},
journal= {arXiv preprint arXiv:1010.5762},
year = {2010}
}