Adaptive Topological Quantum Path Planning
Jincheng Zhang
Abstract
This paper presents an innovative approach to quantum path planning, leveraging the principles of topological quantum geometry to enhance quantum computation efficiency. The core of our method centers on dynamically constructing and optimizing quantum paths utilizing the inherent topological properties of quantum systems. We introduce a novel algorithm that adapts to the system's evolving state, significantly improving path quality and reducing computational complexity compared to traditional methods. The development of this adaptive topology approach offers a potentially transformative solution for quantum information processing, addressing limitations in existing path planning techniques. This work explores the potential of topological quantum geometry to guide quantum trajectory optimization.