拓扑几何信息论的量子化算法

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

The study of topological geometry, a field concerned with the properties of geometric shapes that remain unchanged under continuous deformation, holds significant promise for various applications in diverse fields, including data analysis, cryptography, and materials science. Traditional methods for analyzing topological data relies heavily on classical computational techniques, which often face limitations in terms of computational complexity, particularly when dealing with intricate geometric structures. This paper proposes a novel quantum-enhanced information extraction algorithm for topological geometry, leveraging the unique properties of quantum entanglement. We introduce a quantum-inspired algorithm that utilizes entangled qubits to accelerate the identification of key topological features within complex datasets. The core mechanism centers around establishing a quantum-enhanced information extraction process, guided by the principles of quantum entanglement, to overcome the computational bottlenecks inherent in classical methods. We demonstrate the potential of this approach to significantly improve the speed and efficiency of topological geometry analysis.

DOI: 10.5281/zenodo.22290946

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