paper

Partition of graphs and quantum walk based search algorithms

arXiv:1812.06376

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.

accepted for publication in Nonlinear Theory and Its Applications

References in corpus (7)