Title: Quantum-Based Topological Geometry Algorithm

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

This paper presents a novel quantum simulation algorithm for topological geometry, designed to simulate complex geometric structures and topological relationships with enhanced accuracy. Traditional numerical methods often struggle to accurately capture intricate topological properties. We propose a framework leveraging quantum simulation to model these structures, enabling more precise results through computational techniques. This research focuses on the design of a quantum algorithm capable of exploring and understanding topological phenomena with significantly improved fidelity. The core mechanism involves employing quantum states to represent and manipulate geometric configurations, offering a pathway to overcome limitations of classical simulation techniques. The algorithm will demonstrate improvements in the resolution and accuracy of topological analysis, offering a powerful tool for research and development in the field of topology and geometric computation.

DOI: 10.5281/zenodo.22442705

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