Discrete-Time Quantum Walks: A Quantum Advantage for Graph Representation

Abstract

This paper presents a novel methodology that transforms discrete-time quantum walks into a graph embedding technique, offering a fresh perspective on graph representation methods.Through mathematical manipulations, the approach of this paper adeptly maps intricate graph topologies into the Hilbert space, which significantly enhances the efficacy of graph analysis and paves the way for sophisticated quantum machine learning tasks. This development promises to revolutionize the intersection of quantum computing and graph theory , charting new frontiers in the application of quantum algorithms to graph computing and network science.