Quantum Entanglement: A Geometric Analysis of Multi-Dimensional Mathematics

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

Quantum entanglement, a cornerstone of quantum mechanics, presents a profound challenge to our classical intuitions about space and time. This paper explores the geometric implications of quantum entanglement, proposing a novel mathematical framework based on multi-dimensional geometry to provide a deeper understanding of entanglement's fundamental properties and potential applications in quantum information and computation. The core mechanism involves transforming entangled states into geometric operations, leveraging the unique properties of multi-dimensional spaces to construct a theoretical model for analyzing entanglement's nature and computational possibilities. The current state of mathematical modeling of quantum entanglement is limited, and this work aims to advance this field by establishing a new geometric perspective that offers a robust foundation for future research.

DOI: 10.5281/zenodo.22289397

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