Quantum Topology: Geometric Information Extraction and Application

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum topology, a fascinating field of physics, offers a unique perspective on the properties of space and its relationships. This paper explores the potential of quantum topology for geometric information extraction, a novel approach that leverages quantum states to reveal underlying geometric structures. We introduce a new algorithm, Quantum Topology Extraction (QTE), designed to identify and quantify key geometric properties within quantum systems. The core mechanism focuses on utilizing quantum states to derive geometric information, allowing for enhanced optimization of quantum computation. This work addresses a critical need for more comprehensive understanding of quantum systems and proposes a promising avenue for advancing quantum computing performance. We detail the implementation of QTE, demonstrate its effectiveness through simulations, and discuss its implications for future research and applications.

DOI: 10.5281/zenodo.22205567

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