Title: Topological Information Extraction from Quantum Systems

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

This paper presents a novel algorithm for extracting persistent topological information from quantum systems, moving beyond traditional density map techniques and unveiling fundamental structural properties through quantum entanglement analysis. The core mechanism centers around a dynamically adaptive topological field mapping, induced by the entanglement dynamics of quantum states. This approach allows for the identification of intricate, non-local topological features – a significant improvement over static mapping approaches. We demonstrate the efficacy of this algorithm through a series of applied examples, highlighting its potential to revolutionize topological analysis and contribute to a deeper understanding of quantum phenomena.

DOI: 10.5281/zenodo.22635271

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