Quantum graph walks I: mapping to quantum walks
Mathematical Physics
2014-05-08 v1 math.MP
Quantum Physics
Abstract
We clarify that coined quantum walk is determined by only the choice of local quantum coins. To do so, we characterize coined quantum walks on graph by disjoint Euler circles with respect to symmetric arcs. In this paper, we introduce a new class of coined quantum walk by a special choice of quantum coins determined by corresponding quantum graph, called quantum graph walk. We show that a stationary state of quantum graph walk describes the eigenfunction of the quantum graph.
Keywords
Cite
@article{arxiv.1211.0803,
title = {Quantum graph walks I: mapping to quantum walks},
author = {Yusuke Higuchi and Norio Konno and Iwao Sato and Etsuo Segawa},
journal= {arXiv preprint arXiv:1211.0803},
year = {2014}
}
Comments
20 pages