Nonlinear Graph Theory Quantum Algorithm
Jincheng Zhang
Abstract
This paper explores the application of non-linear graph theory as a foundation for a novel quantum algorithm designed to tackle large-scale graph problems. The core idea centers on leveraging the inherent structure of graphs to facilitate quantum computation, aiming for enhanced efficiency compared to classical approaches. We detail the algorithm's design, highlighting the specific quantum operations employed and their role in addressing the challenges posed by large graph datasets. The paper presents a comprehensive overview of the methodology, emphasizing the potential for significant speedups within the realm of graph analysis.