##拓扑张学与量子纠缠的非线性关联性建模
Jincheng Zhang
Abstract
This paper explores the intersection of topology and quantum entanglement, focusing on the development of a dynamic, adaptive topology model capable of precisely simulating the non-linear correlations inherent in quantum entanglement. We introduce a novel quantum state generation algorithm underpinned by an adaptive topology structure and a 'topological correlation' measure, designed to optimize the topology and, consequently, the complex behavior of entangled states. The core mechanism centers on dynamically adjusting the topology to reflect the entangled nature of the system, providing a more accurate and nuanced representation of quantum computation's intricacies. This work addresses limitations of traditional topological models by incorporating dynamic correlations, offering a potentially transformative approach to quantum entanglement modeling.