基于量子拓扑的矩阵运算的优化策略

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

This paper presents a novel optimization strategy for matrix operations based on quantum topology. Traditional matrix operations often rely on classical algorithms, and this research explores the potential of quantum topology to enhance efficiency and uncover underlying patterns within these calculations. We propose a framework that leverages the inherent topological properties of matrices to guide the optimization process, resulting in improved computational performance. The core mechanism involves constructing and manipulating a quantum state representation that mirrors the matrix's structure, allowing for efficient search and refinement of the matrix's values. This approach aims to minimize the computational cost while potentially revealing previously unknown mathematical relationships. The paper details the theoretical foundation, implementation details, and preliminary results demonstrating the effectiveness of this method.

DOI: 10.5281/zenodo.22617583

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