Title: High-Dimensional Non-Linear Matrix State Analysis

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper introduces a novel matrix analysis technique designed to comprehensively investigate the quantum states of high-dimensional non-linear matrices. Traditional matrix analysis, often reliant on linear algebra, struggles to effectively capture the complex quantum properties of such matrices. This work proposes a method leveraging the inherent quantum state characteristics to transform the matrix's quantum state into a sequence of quantifiable quantum computation steps. The core mechanism centers around establishing a relationship between the matrix's quantum properties and the resulting quantum computation process, offering a potential pathway for efficient quantum algorithm design and analysis. This approach aims to significantly enhance our understanding and manipulation of high-dimensional quantum systems, paving the way for new quantum computational possibilities.

DOI: 10.5281/zenodo.22183345

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