Driving quantum walk spreading with the coin operator
Quantum Physics
2015-05-13 v2
Abstract
We generalize the discrete quantum walk on the line using a time dependent unitary coin operator. We find an analytical relation between the long-time behaviors of the standard deviation and the coin operator. Selecting the coin time sequence allows to obtain a variety of predetermined asymptotic wave-function spreadings: ballistic, sub-ballistic, diffusive, sub-diffusive and localized.
Keywords
Cite
@article{arxiv.0908.0019,
title = {Driving quantum walk spreading with the coin operator},
author = {Alejandro Romanelli},
journal= {arXiv preprint arXiv:0908.0019},
year = {2015}
}
Comments
6 pages, 3 figures, appendix added. to appear in PRA