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自适应矩阵的动态几何变换的基于量子计算的自相干

Jincheng Zhang

Published Aug 31, 2026• 0 citations
Publisher

Abstract

This paper investigates the application of quantum computing to the optimization of matrix transformations, specifically focusing on dynamic geometric transformations. We propose a novel algorithm leveraging quantum entanglement and topological transformations to dynamically adjust matrix transformations, offering a significant improvement over static matrix manipulation methods. The core mechanism centers on exploiting quantum properties to enhance numerical computation efficiency. This approach aims to address limitations in current numerical methods, particularly when dealing with complex, evolving geometric structures. The proposed method provides a foundation for advanced optimization techniques in various scientific and engineering domains.

DOI
10.5281/zenodo.22188590

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This paper explores the application of quantum topology principles to develop a dynamic adjustment algorithm for geometric transformations. Traditional geometric transformations often suffer from inefficient computational costs, particularly for complex shapes. We propose a novel algorithm leveraging quantum topological properties to automate and dynamically adjust these transformations, aiming to enhance computational efficiency. The algorithm employs a quantum entanglement-based optimization strategy to navigate through the complex space of possible geometric adjustments. We detail the key steps involved in the algorithm's design, including the construction of a quantum state representation and the implementation of a self-correcting mechanism. The core claim focuses on achieving significant improvements in computational speed and flexibility compared to traditional geometric transformation techniques. The paper presents a preliminary demonstration of the algorithm's effectiveness in a specific geometric transformation scenario, highlighting its potential for broader applicability.
This paper explores the application of quantum computing to enhance the efficiency of topological transformations. Traditional topological transformations often require computationally intensive and static procedures. This work introduces a novel algorithm leveraging quantum computation to dynamically adjust transformation parameters, offering a pathway for significantly improved computational efficiency in topological analysis. The core mechanism involves utilizing quantum entanglement and superposition to iteratively refine the transformation, ultimately leading to more effective results than conventional methods. We present a framework for dynamically optimizing the transformation process, addressing the limitations of static approaches and demonstrating its potential for accelerating topological research. The proposed algorithm provides a foundation for exploring more complex transformations and potentially uncovering new insights into topological phenomena.
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