High-Dimensional Random Matrix Geometry: A Novel Approach to Non-linear Transformations and Quantum Computation

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper investigates the geometric properties of high-dimensional random matrices, exploring the potential for creating a "geometric space" framework through non-linear transformations. We propose a novel conceptual model based on these matrices, focusing on their response to transformations and their potential for application within quantum computation. The study aims to reveal fundamental geometric characteristics and explore correlations with quantum mechanics, offering a potential new approach to computational design and analysis. The research highlights the importance of this framework for understanding and manipulating complex systems with high dimensionality.

DOI: 10.5281/zenodo.22196475

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