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@ARTICLE{Locher:1048970,
      author       = {Locher, David and Old, Josias and Brechtelsbauer, Katharina
                      and Holschbach, Jakob and Büchler, Hans Peter and Weber,
                      Sebastian and Müller, Markus},
      title        = {{M}ultiqubit {R}ydberg {G}ates for {Q}uantum {E}rror
                      {C}orrection},
      reportid     = {FZJ-2025-05067, arXiv:2512.00843},
      year         = {2025},
      note         = {25 pages, 16 figures},
      abstract     = {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.},
      cin          = {PGI-2},
      cid          = {I:(DE-Juel1)PGI-2-20110106},
      pnm          = {5221 - Advanced Solid-State Qubits and Qubit Systems
                      (POF4-522) / BMBF 13N16073 - MUNIQC-Atoms -
                      Neutralatom-basierter Quantencomputer-Demonstrator
                      (BMBF-13N16073)},
      pid          = {G:(DE-HGF)POF4-5221 / G:(DE-Juel1)BMBF-13N16073},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2512.00843},
      howpublished = {arXiv:2512.00843},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2512.00843;\%\%$},
      doi          = {10.34734/FZJ-2025-05067},
      url          = {https://juser.fz-juelich.de/record/1048970},
}