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Topological Quantum Adaptive Optimization (TDAO)

Jincheng Zhang

Published Sep 6, 2026• 0 citations
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Abstract

This paper introduces TDAO, a novel quantum optimization algorithm designed to address the limitations of traditional optimization methods by dynamically adjusting the quantum potential field during the optimization process. The core mechanism of TDAO involves a dynamic shift in the quantum potential based on the system's inherent dynamics, enabling automated parameter adjustments that lead to improved efficiency. We present a theoretical framework and preliminary experimental validation demonstrating the effectiveness of TDAO in solving complex optimization problems. The paper explores the advantages of this approach over existing quantum algorithms and highlights its potential impact across diverse fields.

DOI
10.5281/zenodo.22486972

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This paper presents a novel dynamic topological optimization algorithm designed to accelerate the optimization process through the utilization of quantum accelerators. Traditional optimization algorithms often rely on manual design, limiting their scalability and efficiency. This work introduces a quantum-enhanced approach, leveraging quantum phenomena to significantly improve computational speed and explore complex solution spaces. The core mechanism of this algorithm involves dynamically adjusting parameters within a topological framework to guide the search process, resulting in enhanced optimization capabilities. This research explores the potential of quantum acceleration in tackling complex optimization problems across diverse fields, including materials science, robotics, and machine learning. The paper details the algorithm's architecture, key operational steps, and preliminary results demonstrating substantial improvements in computational efficiency compared to conventional methods.
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Quantum Topology Adaptive Optimization explores the potential of quantum topology principles to revolutionize optimization techniques. Traditional optimization methods often rely on static parameter settings, limiting the system's ability to adapt and improve. This research investigates a novel quantum optimization algorithm that dynamically adjusts system parameters based on quantum topology, resulting in enhanced performance and robustness. The core mechanism leverages the inherent properties of quantum topology to create a self-optimizing framework. This paper presents a detailed theoretical analysis and experimental validation of this approach, demonstrating its potential to surpass conventional optimization methods in complex, dynamic systems.
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