Quantum walks and elliptic integrals
Quantum Physics
2010-11-16 v3 Mathematical Physics
math.MP
Probability
Abstract
Polya showed in his 1921 paper that the generating function of the return probability for a two-dimensional random walk can be written in terms of an elliptic integral. In this paper we present a similar expression for a one-dimensional quantum walk.
Cite
@article{arxiv.0912.4678,
title = {Quantum walks and elliptic integrals},
author = {Norio Konno},
journal= {arXiv preprint arXiv:0912.4678},
year = {2010}
}
Comments
8 pages, Journal-ref added