Non-Linear Geometry and Quantum Entanglement: A Coupling Approach
Jincheng Zhang
Abstract
This paper explores the synergistic potential of non-linear geometry and quantum entanglement, proposing a novel protocol for secure information exchange and quantum computation. We introduce the concept of "Geometric Geometry" – a framework that connects the inherent non-linear properties of geometric structures with the delicate quantum states inherent in entanglement. Through precise geometric transformations, we aim to guide the evolution of entangled states, effectively creating a bridge between the geometric structure and the quantum phenomenon. This approach offers a unique pathway to enhance information security and accelerate the development of quantum technologies. The core mechanism leverages the interplay between geometric transformations and entanglement, pushing the boundaries of current quantum protocols.