Quantum Entanglement: A Geometric Perspective
Jincheng Zhang
Abstract
Quantum entanglement, a cornerstone of quantum mechanics, presents a profound challenge to classical intuition regarding information and space. This paper explores the potential of entanglement as a fundamental geometric entity, proposing a novel framework centered around "纠缠几何" – a model that leverages the non-linearity inherent in entangled states to uncover latent geometric structures within quantum information. We aim to demonstrate how entanglement, when treated as a geometric variable, can lead to unexpected and potentially transformative insights into quantum information storage and transmission. This research seeks to move beyond traditional approaches by explicitly incorporating entanglement as a geometric principle, potentially revolutionizing our understanding of quantum information's structure.