Geometric Topology Quantum Graph Simulation (GTQGS)

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

The pursuit of understanding and manipulating geometric topology presents a significant challenge to computational science. Traditional methods often struggle to effectively simulate complex geometric structures due to the inherent limitations of classical computation. This paper introduces Geometric Topology Quantum Graph Simulation (GTQGS), a novel framework leveraging quantum computing to accelerate geometric topology simulation. We propose a quantum graph representation of geometric shapes, utilizing quantum algorithms to mimic the intricate topological properties of these shapes. The core mechanism of GTQGS lies in the direct and efficient simulation of geometric structures through quantum graph manipulation, offering a path towards significantly enhanced computational capabilities compared to existing approaches. This work addresses the limitations of classical simulation by introducing a fundamentally new approach to geometric topology, paving the way for more accurate and insightful modeling.

DOI: 10.5281/zenodo.22264123

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