Partition of graphs and quantum walk based search algorithms
Quantum Physics
2018-12-18 v1
Abstract
In this paper, we show reduction methods for search algorithms on graphs using quantum walks. By using a graph partitioning method called equitable partition for the the given graph, we determine "effective subspace" for the search algorithm to reduce the size of the problem. We introduce the equitable partition for quantum walk based search algorithms and show how to determine "effective subspace" and reduced operator.
Cite
@article{arxiv.1812.06376,
title = {Partition of graphs and quantum walk based search algorithms},
author = {Yusuke Ide},
journal= {arXiv preprint arXiv:1812.06376},
year = {2018}
}
Comments
accepted for publication in Nonlinear Theory and Its Applications