Quantum-Inspired Topological Data Analysis
Jincheng Zhang
Abstract
Quantum-inspired Topological Data Analysis addresses the limitations of current methods by introducing quantum-like probabilities and entanglement to enhance the representation and analysis of complex topological structures. This research focuses on developing algorithms that exploit the inherent properties of quantum mechanics to achieve improved accuracy and efficiency, particularly when dealing with high-dimensional datasets. The core mechanism involves the strategic application of quantum-inspired probabilities, aiming to unlock novel insights and accelerate the analysis of topological phenomena. This paper provides a comprehensive overview of the proposed approach, detailing the theoretical framework, algorithm design, and preliminary experimental results.