The Quantum Walk of F. Riesz
Mathematical Physics
2011-11-30 v1 math.MP
Quantum Physics
Abstract
We exhibit a way to associate a quantum walk (QW) on the non-negative integers to any probability measure on the unit circle. This forces us to consider one step transitions that are not traditionally allowed. We illustrate this in the case of a very interesting measure, originally proposed by F. Riesz for a different purpose.
Keywords
Cite
@article{arxiv.1111.6630,
title = {The Quantum Walk of F. Riesz},
author = {F. A. Grunbaum and L. Velazquez},
journal= {arXiv preprint arXiv:1111.6630},
year = {2011}
}