Quantum-Inspired Algorithm Verification via Simulation

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

This paper proposes a novel methodology for algorithm verification leveraging the principles of quantum mechanics through sophisticated classical simulations. The core idea centers on mimicking quantum phenomena such as superposition and interference within a simulated environment to rigorously test computationally demanding algorithms, especially those dealing with complex probability distributions. Traditional algorithm verification often relies on exhaustive testing or statistical sampling, which may fail to uncover subtle errors arising from numerical inaccuracies or deviations from expected probabilistic behavior. Our approach utilizes advanced simulation techniques to generate probabilistic outputs that closely resemble those produced by the algorithm under test, thereby exposing hidden errors undetectable by conventional methods. We demonstrate, theoretically, how this approach can improve the reliability and confidence in the correctness of algorithms, especially those where verification is challenging due to the scale of computations or the complexity of the underlying probability models. The method offers a pathway to a more robust and comprehensive verification process, aligning with the fundamental principles of quantum mechanics.

DOI: 10.5281/zenodo.22469755

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