Continuous-Time Quantum Walks on Trees in Quantum Probability Theory
Quantum Physics
2007-05-23 v2
Abstract
A quantum central limit theorem for a continuous-time quantum walk on a homogeneous tree is derived from quantum probability theory. As a consequence, a new type of limit theorems for another continuous-time walk introduced by the walk is presented. The limit density is similar to that given by a continuous-time quantum walk on the one-dimensional lattice.
Cite
@article{arxiv.quant-ph/0602213,
title = {Continuous-Time Quantum Walks on Trees in Quantum Probability Theory},
author = {Norio Konno},
journal= {arXiv preprint arXiv:quant-ph/0602213},
year = {2007}
}
Comments
13 pages, Journal-ref added