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The Quantum Algorithmic Optimization of Self-Organized Structures

Jincheng Zhang

Published Aug 31, 2026• 0 citations
Publisher

Abstract

This paper investigates the application of self-organized quantum algorithms to optimize complex geometric structures. Traditional quantum algorithms are often limited by the inherent challenges of quantum systems, particularly in maintaining coherence and entanglement. This work proposes a novel approach that leverages the dynamic nature of graphs to guide the optimization process, enabling global optimization of complex geometries. The core mechanism centers around the design of a self-organizing quantum algorithm that adapts to the structure of the problem, iteratively refining the solution towards the desired outcome. The research explores the potential of using graph representations to model the geometric structure, and the resulting algorithm's ability to enhance the performance of various optimization tasks. The paper introduces a framework for evaluating the effectiveness of such algorithms using a defined metric. Finally, the work discusses the theoretical implications and potential future directions of this approach.

DOI
10.5281/zenodo.22192384

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This paper presents a novel approach to quantum algorithm optimization utilizing self-adaptive geometric constraints. Traditional optimization methods often rely on classical parameters, while this work introduces a quantum-based strategy that leverages the inherent geometric properties of quantum states to enhance algorithm efficiency and performance. We propose a framework for dynamically adjusting constraints based on the quantum state, enabling a more flexible and potentially more powerful optimization process. The core mechanism centers around the application of geometric constraints to guide the evolution of quantum circuits, resulting in improved results. This research explores the potential of quantum geometry in optimizing complex algorithms. The paper details the methodology, provides preliminary results demonstrating improvements in specific quantum algorithm instances, and discusses future directions for this field.
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