Title: Adaptive Quantum State Topology Extraction Algorithm
Jincheng Zhang
Abstract
This paper presents a novel algorithm for topology information extraction based on adaptive quantum state manipulation. Traditional methods often rely on computationally intensive measurements, limiting their applicability. This work explores a new approach that leverages the inherent properties of quantum states to identify and extract subtle structural information within datasets. The algorithm employs a dynamic mapping between quantum states and target data, iteratively refining the mapping to enhance information extraction. We demonstrate the effectiveness of this approach through a series of simulations and preliminary experiments, showcasing improved accuracy and efficiency compared to existing methods. The core mechanism focuses on creating and manipulating quantum states to reveal patterns and relationships within data, offering a potential paradigm shift in topology information retrieval.