Quantum Topology: A Computational Geometry Programming Framework

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

Quantum topology, a fascinating field of mathematics, has recently attracted significant attention due to its potential to unlock new computational paradigms. This paper explores the application of quantum topology to computational geometry programming, specifically focusing on optimization. We propose a novel framework, Quantum Topology Optimization (QTO), that leverages quantum computation to accelerate the optimization of complex geometric structures. This framework integrates the inherent properties of quantum topology with the principles of CGP, resulting in a computationally efficient and potentially transformative approach to geometric problem-solving. The core claim is that a QTO-based system can significantly improve the performance of optimization algorithms compared to traditional methods. This work presents a foundational investigation into the intersection of quantum mechanics and computational geometry, offering a new avenue for algorithmic innovation.

DOI: 10.5281/zenodo.22575411

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