Non-Linear Matrix Quantum Computing and Geometric Transformations

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper explores the potential of non-linear matrix quantum computing and geometric transformations for validating quantum matrix operations and establishing quantum algorithms. We investigate a novel framework leveraging the inherent properties of non-linear matrices to rigorously test quantum mechanical behaviors. The core mechanism centers on applying geometric transformations to matrix representations to reveal subtle quantum effects, ultimately leading to a more robust and adaptable validation method. The paper presents a preliminary analysis, showcasing the benefits of this approach compared to traditional quantum computing verification methods. The goal is to establish a foundational understanding of quantum matrix behavior through a combination of mathematical rigor and geometric manipulation.

DOI: 10.5281/zenodo.22204576

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