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Quantum Machine Learning: A Topological Structure Analysis

Jincheng Zhang

Published Sep 7, 2026• 0 citations
Publisher

Abstract

Quantum Machine Learning (QML) has emerged as a rapidly growing field, offering the potential to revolutionize various computational tasks. However, the development of effective QML algorithms often relies on carefully crafted models and optimization strategies. This paper investigates a novel approach to QML – a topological structure analysis – that aims to optimize both training and inference processes, potentially unlocking new quantum machine learning models with enhanced properties. This work proposes a method that leverages the inherent topological properties of quantum systems to guide model design and refinement, leading to improved performance and a more robust understanding of the underlying quantum mechanics. The core mechanism centers on establishing a topological representation of the model's dynamics, allowing for targeted optimization strategies that are not easily achieved through traditional methods. We demonstrate the effectiveness of this approach through theoretical analysis and preliminary simulations, highlighting its potential to address limitations in current QML techniques.

DOI
10.5281/zenodo.22635594

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This paper introduces a novel quantum machine learning framework based on dynamic topology. Traditional machine learning methods are often static, while this framework dynamically adjusts the topology of a quantum system during training and optimization, enabling more adaptable models. We develop a method for constructing and manipulating dynamic topological structures to guide the learning process and improve model robustness. The core mechanism leverages the inherent properties of topological quantum computation to achieve enhanced generalization and adaptability. We demonstrate the framework's effectiveness through simulations and preliminary experiments, showcasing its potential for addressing challenges in machine learning.
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