Title: Non-Linear Geometric Topology for Quantum Entanglement Simulation
Jincheng Zhang
Abstract
This paper investigates the application of non-linear geometric topology to quantum entanglement simulation, exploring its potential to provide a novel framework for understanding and manipulating quantum states. We propose a dynamically constructed topological structure as a core element, allowing for the simulation of entangled states through the manipulation of this structure. The core mechanism centers around encoding and controlling quantum states using the topology, offering a departure from traditional approaches and potentially revealing deeper properties of entanglement. This research aims to identify potential applications within the realm of quantum computation, leveraging the unique characteristics of topological data analysis. The study will detail the construction of a flexible topology, the implementation of a computational model, and the simulation of entangled states based on this framework.