Multi-Dimensional Geometric Topology Verification for Quantum Computing Validation

Jincheng Zhang

Published Sep 2, 2026• 0 citations

Abstract

This paper explores the utilization of multi-dimensional geometric topology as a novel validation method for quantum computing algorithms, specifically focusing on the rigorous verification of algorithm effectiveness within complex multi-dimensional spaces. Traditional quantum computing validation methods often struggle with intricate topological problems, necessitating a fundamentally new approach. We present a framework for applying topological properties to quantum algorithm verification, leveraging the inherent characteristics of quantum computation to address these challenges. This research aims to provide a robust and potentially transformative validation technique for quantum computing, ensuring the reliability and correctness of quantum algorithms across diverse environments. The core claim is that exploring this new validation methodology will significantly improve the validation process, allowing for the assurance of algorithm correctness and performance.

DOI: 10.5281/zenodo.22246978

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