An analytic solution for one-dimensional quantum walks
Quantum Physics
2007-05-23 v1
Abstract
The first general analytic solutions for the one-dimensional walk in position and momentum space are derived. These solutions reveal, among other things, new symmetry features of quantum walk probability densities and further insight into the behaviour of their moments. The analytic expressions for the quantum walk probability distributions provide a means of modelling quantum phenomena that is analogous to that provided by random walks in the classical domain.
Cite
@article{arxiv.0705.0077,
title = {An analytic solution for one-dimensional quantum walks},
author = {Ian Fuss and Lang White and Peter Sherman and Sanjeev Naguleswaran},
journal= {arXiv preprint arXiv:0705.0077},
year = {2007}
}