基于量子纠缠的非线性方程组求解

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

This paper explores the potential of leveraging quantum entanglement to accelerate the solution of non-linear equation systems. Traditional methods often struggle with the complexity and scalability of these problems. We propose a novel algorithm based on quantum entanglement, utilizing the correlated states of entangled particles to perform parallel computations and significantly enhance the efficiency of equation solving. This research delves into the theoretical underpinnings of entanglement-assisted computation and demonstrates preliminary results showcasing the algorithm's capacity for tackling challenging non-linear equations. The core mechanism focuses on distributing computational workload across entangled qubits, thereby reducing the inherent computational cost associated with classical approaches. This work offers a promising avenue for advancements in solving complex mathematical problems, potentially revolutionizing the field of numerical analysis.

DOI: 10.5281/zenodo.22267423

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