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Title: Adaptive Quantum State Topology Extraction Algorithm

Jincheng Zhang

Published Sep 6, 2026• 0 citations
Publisher

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.

DOI
10.5281/zenodo.22448644

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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.
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This paper presents a novel algorithm for topology analysis based on quantum entanglement, designed to dynamically adjust the analysis process based on the quantum system's state. Traditional topological analysis methods often rely on static parameter settings, limiting their ability to effectively address complex systems. This research introduces a method that leverages the unique properties of quantum entanglement to provide a truly adaptive approach. The core mechanism involves establishing entangled states between the system and a predefined mapping, allowing the algorithm to iteratively refine the topological structure through entanglement-driven adjustments. This adaptation process leads to improved optimization capabilities compared to conventional methods. We demonstrate the effectiveness of this approach through simulations exploring various complex systems, showcasing its potential for tackling intricate topological configurations.
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