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This study uses numerical simulations to quantify how isotropic errors degrade the performance and success probability of Grover's search algorithm, revealing specific robustness challenges for noisy quantum hardware. The work provides a practical analysis of algorithmic complexity under these error conditions, which are known to evade conventional error correction methods. Researchers can access the associated open-source Python library and simulation data to further investigate these failure modes in practical quantum implementations.
Effect of isotropic errors on the complexity of Grover's algorithm
arXiv:2606.04817v1 Announce Type: new Abstract: Isotropic errors have been shown to be immune to conventional error correction techniques. While general theoretical frameworks have been proposed to model such errors, there have been no studies so far analysing their concrete impact on practical use-cases. Here we explore the effect of isotropic errors on the complexity of Grover's search algorithm through numerical simulations, with an analysis of the impact on the algorithm's performance and success probability. The results provide insights into the robustness of Grover's algorithm against isotropic errors, highlighting potential challenges for implementations on noisy quantum hardware. All results presented here are obtained through numerical simulations using the open-source python library \texttt{isotropic} developed as part of this work. The source code, numerical simulations and documentation for the library are available online at https://www.github.com/lazyoracle/isotropic-error-analysis .
Abstract:Isotropic errors have been shown to be immune to conventional error correction techniques. While general theoretical frameworks have been proposed to model such errors, there have been no studies so far analysing their concrete impact on practical use-cases. Here we explore the effect of isotropic errors on the complexity of Grover's search algorithm through numerical simulations, with an analysis of the impact on the algorithm's performance and success probability. The results provide insights into the robustness of Grover's algorithm against isotropic errors, highlighting potential challenges for implementations on noisy quantum hardware. All results presented here are obtained through numerical simulations using the open-source python library \texttt{isotropic} developed as part of this work. The source code, numerical simulations and documentation for the library are available online at this https URL .
arXiv:2606.04817 [quant-ph]
(or arXiv:2606.04817v1 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2606.04817 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
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