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Quantum Topology Path Planning

Jincheng Zhang

Published Sep 3, 2026• 0 citations
Publisher

Abstract

Quantum Topology Path Planning is a novel algorithmic framework that leverages the unique properties of quantum topology to optimize pathfinding for complex environments, specifically targeting robot navigation and materials science. Traditional path planning methods often rely on heuristics and are limited in their ability to handle intricate, dynamically changing geometries. This paper introduces a new approach that employs quantum-inspired algorithms to identify optimal paths, demonstrating its potential for significant advancements in these fields. The core mechanism centers around exploiting the inherent topological structure of quantum systems to guide path exploration, offering a more robust and efficient solution compared to conventional methods. We present a detailed discussion of the algorithm's design, its performance characteristics, and potential applications.

DOI
10.5281/zenodo.22266434

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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.
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