Quantum State Analysis of Non-linear Matrix Groups

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

This paper presents a novel approach to quantum state analysis of non-linear matrix groups, leveraging the unique properties of quantum entanglement to achieve precise state description and explore nonlinear transformations. We propose a method based on entangled matrix representations, enabling a deeper understanding of the quantum states within these groups. The core mechanism centers around encoding matrix elements within entangled states, allowing for non-linear transformations to be efficiently mapped onto the entanglement structure. The resulting framework offers a significant advancement over traditional methods, providing a more nuanced and quantitatively rigorous approach to quantum state analysis. The paper details the theoretical foundation, initial implementation, and preliminary results demonstrating the effectiveness of this method in characterizing and manipulating quantum states within non-linear matrix groups.

DOI: 10.5281/zenodo.22440746

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