Adaptive Quantum Algorithm-Based Topological Topology Analysis (AQT)

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

This paper introduces the Adaptive Quantum Algorithm-Based Topological Topology Analysis (AQT) method, a novel approach to topology analysis that leverages quantum algorithms for rapid identification and optimization of complex topological structures. Traditional methods often struggle with the inherent complexity and scale of these structures. AQT offers significant improvements in computational efficiency and accuracy through the application of quantum algorithms tailored for topological analysis. This paper details the fundamental principles of AQT, presents a preliminary implementation demonstrating its effectiveness, and discusses potential future developments and applications within the field of topology. The core mechanism of AQT revolves around the quantum-enhanced exploration of topological spaces, enabling the identification of subtle patterns and relationships that would be missed by classical methods.

DOI: 10.5281/zenodo.22614083

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