Non-Linear Topological Geometry: A Quantum Entanglement-Based Computational Framework
Jincheng Zhang
Abstract
This paper explores the potential of leveraging quantum entanglement for enhanced computational power in topological geometry. Traditional topological geometry algorithms often struggle with the complexity of intricate geometric models, limiting their applicability to real-world problems. We propose a novel computational framework that utilizes quantum entanglement to facilitate more efficient geometric operations, particularly in the extraction and calculation of complex topological features. This framework introduces a novel quantum topology calculation model, dynamically adjusts entanglement parameters, and offers improved computational efficiency and accuracy. The core claim is that this approach overcomes the limitations of classical methods by providing a fundamentally new pathway for geometric modeling and simulation.