基于量子纠缠的算术几何的非欧性分析
Jincheng Zhang
Abstract
This paper explores the potential of quantum entanglement to revolutionize the field of numerical geometry, specifically focusing on the analysis of non-Euclidean geometry. We propose a novel approach that leverages quantum entanglement to detect and quantify the non-Euclidean nature of geometric structures. Through a carefully constructed mathematical framework, we demonstrate the potential of this method to enhance the accuracy and efficiency of numerical geometric computations, offering a fundamentally different perspective on geometric properties. The core mechanism involves identifying and exploiting the correlations inherent in entangled states to reveal subtle geometric anomalies that are difficult to detect with traditional methods. The resulting analysis provides a pathway towards a more robust and efficient approach to geometric modeling and computation.