Geometric Topology Validation of Quantum Computing

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

Geometric topology offers a novel approach to validating quantum computing algorithms and protocols, addressing limitations of traditional methods. This paper proposes a framework leveraging the principles of geometric topology to rigorously test the correctness of quantum computation, specifically focusing on quantum geometric analysis. The core claim is that this framework will provide a robust and mathematically sound validation of quantum algorithms, ensuring their fidelity and robustness against potential errors. The mechanism involves analyzing the quantum geometric structure inherent in quantum algorithms, identifying inconsistencies, and subsequently proposing corrections or modifications to the algorithm. The research explores the potential of this approach to enhance the reliability and security of quantum technologies.

DOI: 10.5281/zenodo.22639440

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