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Topological-Quantum Fusion Learning (TFL)

Jincheng Zhang

Published Sep 6, 2026• 0 citations
Publisher

Abstract

This paper introduces Topological-Quantum Fusion Learning (TFL), a novel approach to quantum system modeling that integrates topology learning and quantum learning. TFL leverages dynamic adjustments to the quantum potential field to achieve more precise modeling of quantum systems and improved prediction accuracy. The core mechanism of TFL centers around the synergistic combination of topology-learning and quantum-learning, employing a feedback loop that iteratively refines the quantum system's state. The paper discusses the advantages of this hybrid methodology and presents preliminary results demonstrating its efficacy in modeling complex quantum systems.

DOI
10.5281/zenodo.22486871

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This paper introduces Topological-Quantum Fusion Learning (TFL), a novel approach to quantum system modeling that integrates topology learning and quantum learning. TFL leverages dynamic adjustments to the quantum potential field to achieve more precise modeling of quantum systems and improved prediction accuracy. The core mechanism of TFL centers around the synergistic combination of topology-learning and quantum-learning, employing a feedback loop that iteratively refines the quantum system's state. The paper discusses the advantages of this hybrid methodology and presents preliminary results demonstrating its efficacy in modeling complex quantum systems.
This paper introduces a novel dynamic quantum topology learning algorithm designed to dynamically adjust topology structures based on input data. Traditional topology learning algorithms often rely on static models, aiming to improve model adaptability. Our approach leverages quantum circuit simulation to dynamically modify the underlying topology, establishing a strong connection between the model and the resulting structure. The algorithm's core mechanism involves iterative quantum circuit simulations, allowing for a continuous refinement of the topology, ultimately leading to more effective system modeling and prediction. We present a rigorous analysis of the algorithm's performance and demonstrate its potential to address challenges in complex system analysis.
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This paper explores the potential of dynamic quantum topology as a framework for generating and adapting complex topological quantum states. Traditional topological quantum systems often rely on static models, limiting their ability to accurately represent and predict behavior in dynamic environments. We propose a dynamic quantum topology algorithm that iteratively adjusts the underlying quantum structure to respond to environmental changes, offering a novel approach to simulating and predicting topological properties. The core mechanism involves a series of quantum operations designed to evolve the topology while simultaneously incorporating feedback loops based on measured environmental data. This paper details the design of the algorithm, its theoretical underpinnings, and preliminary experimental explorations demonstrating its adaptability. We conclude with a discussion of the potential applications of this approach in various fields, including quantum information processing and materials science.