Dynamic Topology-Based Quantum Algorithm for Topological Structure Prediction and Precise Control

Jincheng Zhang

Published Sep 5, 2026• 0 citations

Abstract

This paper introduces a novel quantum algorithm for predicting the evolution of topological structures. Traditional topological algorithms often rely on static models, limiting their ability to accurately simulate dynamic structural changes. We propose a quantum algorithm that leverages the inherent dynamic nature of topological structures, enabling precise control over their evolution. The core mechanism involves mapping the topological structure onto a quantum state representation and employing a quantum evolution algorithm to mimic its dynamic behavior. This approach offers a significant advancement over existing methods, particularly in the context of complex topological systems requiring precise manipulation. The proposed algorithm demonstrates the potential for accurate prediction and controlled manipulation of topological structures through the application of quantum mechanics.

DOI: 10.5281/zenodo.22332135

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