Quantum-Enhanced Graph Traversal with Adaptive Path Planning
Jincheng Zhang
Abstract
Quantum-enhanced graph traversal aims to optimize path planning by leveraging quantum-inspired methods to improve efficiency, especially in complex environments characterized by intricate connections. This paper introduces a novel approach incorporating a "quantum pathfinder" that employs superposition to simultaneously explore multiple potential paths, significantly reducing the search space and enhancing path optimality. We demonstrate the effectiveness of this method through rigorous analysis and experimental validation on a diverse set of graph traversal problems. The core mechanism centers around the utilization of quantum superposition to enable parallel exploration of path possibilities, resulting in a substantial improvement over traditional algorithms. The paper also discusses the challenges and potential future directions for this research.