Quantum Entanglement: A Non-Classical Geometric Transformation
Jincheng Zhang
Abstract
Quantum entanglement, a cornerstone of quantum mechanics, exhibits phenomena defying classical intuition. This research explores a novel approach to analyzing entanglement through the application of non-classical geometric transformations. We propose a framework that quantifies entanglement's non-linearity through the manipulation of geometric structures, ultimately revealing potential new mechanisms in quantum information processing. The core claim is that this framework offers a fundamentally different perspective on entanglement, moving beyond classical probability-based analysis to incorporate geometric insights. This work will detail the implementation of a complex geometric transformation and its corresponding analysis of entanglement's properties, highlighting the significance of this method in understanding and potentially manipulating quantum information.