Based Quantum Topology in Geometric Simulation Validation

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

This paper investigates the application of quantum topology for geometric simulation validation, aiming to enhance the rigor and accuracy of geometric modeling. The core concept revolves around leveraging quantum entanglement and quantum gates to simulate the evolution of geometric structures and then rigorously verifying the simulation's correctness through topological analysis. We propose a novel framework that utilizes quantum mechanics to explore the inherent structure of geometric systems, offering a potential pathway to address limitations of traditional geometric simulation methods. This work explores the potential for validating complex geometric models with increased precision and robustness, ultimately advancing our understanding of fundamental geometric principles.

DOI: 10.5281/zenodo.22272048

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