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基于量子纠缠的自适应矩阵分解

Jincheng Zhang

Published Sep 5, 2026• 0 citations
Publisher

Abstract

This paper presents a novel approach to matrix factorization leveraging the principles of quantum entanglement. We propose a framework centered around the instantaneous correlation between entangled states, aiming to significantly enhance the efficiency and accuracy of matrix decomposition. The core mechanism involves dynamically adjusting the entanglement parameters during the factorization process, optimizing the overall algorithm to reduce computational complexity. The study explores the potential of this approach to overcome limitations of traditional methods, particularly in scenarios involving high-dimensional data and complex eigenvalue problems. We demonstrate the framework's effectiveness through theoretical analysis and preliminary experimental validation.

DOI
10.5281/zenodo.22320904

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Quantum Entanglement Matrix Decomposition (QEMD) presents a novel matrix decomposition algorithm leveraging the principles of quantum entanglement. This research explores the potential of utilizing entangled states to accelerate and refine the decomposition process, offering a pathway to significantly enhance computational efficiency and accuracy, particularly in the context of large-scale data analysis and machine learning. The core mechanism centers around employing quantum entanglement to guide the computation, achieving a substantial reduction in computational complexity compared to classical methods. This paper details the theoretical framework, algorithm implementation, and preliminary results demonstrating the efficacy of QEMD.
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This paper introduces a novel computational framework based on quantum entanglement, designed to achieve adaptive computation, offering enhanced efficiency and precision, particularly in the processing of high-dimensional data. Traditional computation relies on fixed parameters, while entanglement allows for dynamic adjustment of computation processes. This research explores the potential of leveraging quantum entanglement to dynamically tailor computational parameters, optimizing performance in scenarios where traditional algorithms struggle. The core mechanism focuses on establishing and maintaining entangled states to facilitate real-time adjustments to the computation process. We detail the framework's architecture, the implementation of entanglement-based adjustment strategies, and preliminary results demonstrating its effectiveness in a specific computational task. The paper concludes by highlighting the potential of this approach to revolutionize computation, especially in areas demanding high precision and scalability.
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