Title: Quantum-Guided Topology Search
Jincheng Zhang
Abstract
Quantum-Guided Topology Search addresses the limitations of traditional topological search algorithms by employing quantum entanglement to accelerate the identification of complex topological features and connectivity within datasets. This paper proposes a novel quantum algorithm that leverages entanglement to create a 'quantum fingerprint' of the data, enabling significantly enhanced pattern recognition and faster detection of crucial topological structures. We explore the fundamental principles of entanglement and its application to topological data analysis, detailing the design of a quantum-enhanced search strategy. The core mechanism centers around generating and manipulating entangled states to represent data points in a way that facilitates rapid identification of topological motifs. This paper presents a preliminary investigation of the algorithm's potential and outlines future research directions focused on scalability and practical implementation.