Title: Adaptive Topology Analysis of Quantum Systems via Quantum Entanglement

Jincheng Zhang

Published Sep 1, 2026• 0 citations

Abstract

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.

DOI: 10.5281/zenodo.22220711

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