Weak limits for quantum walks on the half-line
Quantum Physics
2015-10-05 v3 Mathematical Physics
math.MP
Probability
Abstract
For a discrete two-state quantum walk (QW) on the half-line with a general condition at the boundary, we formulate and prove a weak limit theorem describing the terminal behavior of its transition probabilities. In this context, localization is possible even for a walk predicated on the assumption of homogeneity. For the Hadamard walk on the half-line, the weak limit is shown to be independent of the initial coin state and to exhibit no localization.
Cite
@article{arxiv.1212.1109,
title = {Weak limits for quantum walks on the half-line},
author = {Chaobin Liu and Nelson Petulante},
journal= {arXiv preprint arXiv:1212.1109},
year = {2015}
}
Comments
Added references and some other updates, corrected typos