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基于量子势场的自适应拓扑优化算法

Jincheng Zhang

Published Aug 29, 2026• 0 citations
Publisher

Abstract

This paper introduces a novel algorithm for parameter adjustment based on quantum fields, leveraging quantum entanglement to achieve more efficient optimization. Traditional optimization algorithms often struggle with complex problems due to their fixed parameter settings. This proposed approach utilizes a dynamic quantum field representation and quantum entanglement to bypass local optima and potentially unlock significant improvements in parameter tuning across a wide range of problems. The algorithm's core mechanism centers on encoding the problem's parameters within the quantum field, enabling a more sophisticated exploration of the parameter space. We demonstrate its effectiveness through a series of illustrative examples, showcasing enhanced performance and a novel approach to parameter optimization.

DOI
10.5281/zenodo.22154066

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This paper introduces a novel quantum computing-based optimization algorithm designed for enhanced performance and generalization capabilities. Traditional optimization algorithms often struggle with complex, high-dimensional problems, requiring extensive parameter tuning. We propose a quantum algorithm that leverages quantum entanglement to dynamically adjust optimization parameters during the optimization process. This dynamic adjustment fosters a more efficient and robust optimization pathway, potentially surpassing the capabilities of classical algorithms in certain scenarios. The core mechanism relies on exploiting quantum properties to explore the solution space more effectively. We analyze the algorithm's potential benefits, including improved convergence speed and robustness against local optima, and provide a preliminary assessment of its applicability to real-world problems. The paper concludes with a discussion of future research directions and potential challenges.
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This paper presents a novel dynamic geometric optimization algorithm based on the principles of quantum entanglement. Traditional geometric optimization methods often rely on manual parameter tuning, limiting efficiency and requiring significant human intervention. This research introduces a new algorithm that leverages quantum entanglement to dynamically adjust geometric transformations, resulting in enhanced optimization performance. The core mechanism involves creating entangled states to represent geometric parameters, enabling instantaneous adjustments and accelerating the optimization process. We detail the algorithm's design, implementation, and preliminary results, demonstrating significant improvements in optimization speed and quality compared to traditional methods. The paper concludes with a discussion of the potential implications of this approach for a wide range of geometric optimization problems.
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Quantum optimization is a rapidly growing field with the potential to revolutionize various scientific and engineering disciplines. Traditional optimization algorithms often struggle to find truly optimal solutions, frequently getting trapped in local optima. Quantum optimization, however, offers a fundamentally different approach utilizing quantum entanglement to explore the solution space in a more holistic manner. This paper presents a novel global optimization algorithm based on quantum entanglement, designed to overcome the limitations of classical optimization methods. We introduce a mechanism that leverages entanglement to facilitate the exploration of a wider solution space, ultimately leading to the discovery of global optima. This work demonstrates the potential of quantum entanglement to significantly improve the efficiency and accuracy of complex optimization problems across diverse domains. The core of this algorithm lies in its intricate use of entangled states to represent and manipulate the search space, enabling the identification of optimal solutions with significantly reduced computational cost. We rigorously analyze the algorithm's performance through extensive simulations and experiments, highlighting its effectiveness in tackling challenging optimization scenarios. This paper provides a detailed exploration of the underlying principles and practical implementation of this groundbreaking approach, paving the way for future advancements in quantum optimization techniques.