基于量子拓扑的几何变换算法的动态调整

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

This paper explores the application of quantum topology principles to develop a dynamic adjustment algorithm for geometric transformations. Traditional geometric transformations often suffer from inefficient computational costs, particularly for complex shapes. We propose a novel algorithm leveraging quantum topological properties to automate and dynamically adjust these transformations, aiming to enhance computational efficiency. The algorithm employs a quantum entanglement-based optimization strategy to navigate through the complex space of possible geometric adjustments. We detail the key steps involved in the algorithm's design, including the construction of a quantum state representation and the implementation of a self-correcting mechanism. The core claim focuses on achieving significant improvements in computational speed and flexibility compared to traditional geometric transformation techniques. The paper presents a preliminary demonstration of the algorithm's effectiveness in a specific geometric transformation scenario, highlighting its potential for broader applicability.

DOI: 10.5281/zenodo.22267943

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