Nonlinear Topological Geometry: A Quantum Entanglement Theory
Jincheng Zhang
Abstract
This paper explores the intersection of nonlinear topological geometry and quantum entanglement, proposing a novel framework that directly maps the entangled state to the non-linear relationship between quantum topology and entanglement. We introduce the concept of "拓扑量子纠缠" – a quantum entanglement underpinned by topological structure – to guide the design of quantum entanglement simulators. The core mechanism involves constructing a quantum entanglement simulator based on this framework, offering a potential pathway to enhanced quantum computation and a deeper understanding of quantum mechanics. This research investigates the implications of this approach for both simulation and hardware design, aiming to reveal fundamental physical relationships within quantum entanglement.