Quantum Geometry Verification of Quantum Algorithms: A Novel Approach

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum Geometry Verification of Quantum Algorithms presents a fundamentally new method for validating quantum algorithms by leveraging the inherent properties of quantum geometry. This paper introduces a novel algorithm that transforms quantum algorithm execution into a quantum geometric representation, allowing for rigorous verification of algorithmic correctness and stability. The core mechanism centers on modeling the algorithm's process as a quantum geometric system, employing self-similarity to identify and correct errors inherent in the algorithm's execution. We demonstrate the efficacy of this approach through a series of rigorous analyses, establishing a new benchmark for quantum algorithm verification and offering a pathway towards more reliable and trustworthy quantum computation.

DOI: 10.5281/zenodo.22184938

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