Non-linear Matrix Structure Analysis

Jincheng Zhang

Published Sep 5, 2026• 0 citations

Abstract

This paper explores the potential of analyzing the intrinsic quantum entanglement structure of matrices to derive their singular properties and guide the design of quantum computing algorithms. The core focus is on leveraging the unique quantum entanglement characteristics of matrices to construct a novel mathematical model and apply it to identify and quantify matrix singular structures. Traditional approaches primarily concentrate on matrix geometry, but this work proposes a fundamentally new method centered on the exploration and understanding of quantum entanglement, aiming to unlock insights into matrix potential and facilitate quantum algorithm development. The study emphasizes the potential of this approach to advance theoretical understanding of matrices and contribute to the design of novel quantum computation techniques.

DOI: 10.5281/zenodo.22329572

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