Quantum Topology: A Computational and Verification Tool for Quantum Computing

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

Quantum topology, a relatively new field, offers a unique approach to quantum computing verification by leveraging the inherent properties of spacetime and its topological structure. This paper proposes a novel computational tool, the 'Quantum Topology Validator' (QTV), designed to rigorously validate quantum algorithms and theoretical concepts by exploring potential topological defects within the quantum system. We detail the core mechanism of the TQV, its underlying mathematical principles, and its potential impact on the verification of quantum information and cryptographic protocols. The paper argues that this approach provides a robust and mathematically-grounded method for assessing the correctness and stability of quantum systems, potentially surpassing the limitations of classical verification methods. The research highlights the potential for this tool to significantly advance the field of quantum verification.

DOI: 10.5281/zenodo.22301149

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