Geometric Topology and Quantum Computing: A Convergence

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

This paper explores the synergistic convergence of geometric topology and quantum computing. We investigate the potential for utilizing quantum computing's inherent parallelism to accelerate and enhance geometric topology computations, specifically focusing on verification and novel exploration of topological properties. The core mechanism involves employing quantum algorithms to perform computationally intensive geometric analysis, coupled with the quantum computer's ability to detect subtle topological variations. The paper presents a framework for investigating the interplay between these two fields, highlighting the potential for groundbreaking discoveries. The research aims to reveal deeper geometric insights through the combined power of quantum computation and mathematical analysis.

DOI: 10.5281/zenodo.22464780

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