Nonlinear Matrix Quantum Algorithm and Topological Structure

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper investigates the potential of non-linear matrix quantum algorithms to enhance quantum computation efficiency through the application of topology. We propose a novel quantum algorithm predicated on the unique properties of non-linear matrices, aiming to optimize a specific problem using topological structure. The core mechanism centers around leveraging the inherent mathematical structure of non-linear matrices to achieve superior performance compared to traditional approaches. The paper will detail the algorithm's design, mathematical foundation, and preliminary results, emphasizing the significance of the proposed topological optimization strategy. The work will include rigorous mathematical validation and demonstrate the potential of this approach to significantly improve quantum computation capabilities.

DOI: 10.5281/zenodo.22204512

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