Title: Non-Linear Matrix Relaxation with Quantum Tunneling

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

This paper presents a novel method for non-linear matrix relaxation, leveraging quantum tunneling to significantly accelerate the process compared to traditional algorithms. The core mechanism involves introducing quantum tunneling into the relaxation algorithm, allowing the system to 'tunnel' through energy barriers more efficiently. We demonstrate the effectiveness of this approach through simulations and analysis, offering a potential breakthrough in solving complex mathematical problems where classical methods fall short. The proposed method addresses limitations in existing techniques, particularly in scenarios involving high energy barriers and complex matrix dynamics. The theoretical foundation rests on a modified relaxation scheme incorporating quantum tunneling, and the results demonstrate a substantial improvement in convergence and speed. Furthermore, we explore the impact of varying tunneling parameters on the relaxation process, providing insights into optimal configuration. This research contributes to a broader understanding of quantum-enhanced optimization techniques applicable to a diverse range of mathematical modeling.

DOI: 10.5281/zenodo.22483839

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