%0 Electronic Article
%A Locher, David
%A Old, Josias
%A Brechtelsbauer, Katharina
%A Holschbach, Jakob
%A Büchler, Hans Peter
%A Weber, Sebastian
%A Müller, Markus
%T Multiqubit Rydberg Gates for Quantum Error Correction
%N arXiv:2512.00843
%M FZJ-2025-05067
%M arXiv:2512.00843
%D 2025
%Z 25 pages, 16 figures
%X Multiqubit gates that involve three or more qubits are usually thought to be of little significance for fault-tolerant quantum error correction because single gate faults can lead to high-weight correlated errors. However, recent works have shown that multiqubit gates can be beneficial for measurement-free fault-tolerant quantum error correction and for fault-tolerant stabilizer readout in unrotated surface codes. In this work, we investigate multiqubit Rydberg gates that are useful for fault-tolerant quantum error correction in single-species neutral-atom platforms and can be implemented with a single, non-addressed laser pulse. We develop an open-source Python package to generate analytical, few-parameter pulses that implement the desired gates while minimizing gate errors due to Rydberg-state decay. The tool also allows us to identify parameter-optimal pulses, characterized by a minimal parameter count for the pulse ansatz. Measurement-free quantum error correction protocols require CCZ gates, which we analyze for atoms arranged in symmetric and asymmetric configurations. We investigate the performance of these schemes for various single-, two-, and three-qubit gate error rates, showing that break-even performance of measurement-free QEC is within reach of current hardware. Moreover, we study Floquet quantum error correction protocols that comprise two-body stabilizer measurements. Those can be realized using global three-qubit gates, and we show that this can lead to a significant reduction in shuttling operations. Simulations with realistic circuit-level noise indicate that applying three-qubit gates for stabilizer measurements in Floquet codes can yield competitive logical qubit performance in experimentally relevant error regimes.
%F PUB:(DE-HGF)25
%9 Preprint
%R 10.34734/FZJ-2025-05067
%U https://juser.fz-juelich.de/record/1048970