Non-Linear Topological Structure for Quantum Entanglement Analysis and Modeling

Jincheng Zhang

Published Sep 1, 2026• 0 citations

Abstract

This paper explores the application of non-linear topological structure to quantum entanglement analysis and modeling. The core claim is to develop a framework that accurately predicts the instantaneous changes in entangled states and establishes a connection between these states and the self-organized relationships of high-dimensional quantum states. The framework leverages the concept of "self-organized topological connections" and employs quantum topology principles to simulate the non-linear evolution of entangled states, generating a 'topological structure' graph as a computational benchmark. The research addresses limitations in existing entanglement analysis methods by introducing a novel approach that integrates topological principles and offers a new perspective for understanding the complexities of quantum entanglement. This work presents a comprehensive framework for analyzing and predicting instantaneous changes in entangled states, potentially revolutionizing the field of quantum entanglement research.

DOI: 10.5281/zenodo.22223828

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