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@ARTICLE{Bolsmann:1050044,
      author       = {Bolsmann, Katrin and Guedes, Thiago L. M. and Li, Weibin
                      and Wilkinson, Joseph W. P. and Lesanovsky, Igor and
                      Müller, Markus},
      title        = {{F}ast {N}ative {T}hree-{Q}ubit {G}ates and
                      {F}ault-{T}olerant {Q}uantum {E}rror {C}orrection with
                      {T}rapped {R}ydberg {I}ons},
      publisher    = {arXiv},
      reportid     = {FZJ-2025-05758},
      year         = {2025},
      abstract     = {Trapped ions as one of the most promising
                      quantum-information-processing platforms, yet conventional
                      entangling gates mediated by collective motion remain slow
                      and difficult to scale. Exciting trapped ions to high-lying
                      electronic Rydberg states provides a promising route to
                      overcome these limitations by enabling strong, long-range
                      dipole-dipole interactions that support much faster
                      multi-qubit operations. Here, we introduce the first scheme
                      for implementing a native controlled-controlled-Z gate with
                      microwave-dressed Rydberg ions by optimizing a single-pulse
                      protocol that accounts for the finite Rydberg-state
                      lifetime. The resulting gate outperforms standard
                      decompositions into one- and two-qubit gates by achieving
                      fidelities above $97\%$ under realistic conditions, with
                      execution times of about 2 microseconds at cryogenic
                      temperatures. To explore the potential of trapped Rydberg
                      ions for fault-tolerant quantum error correction, and to
                      illustrate the utility of three-qubit Rydberg-ion gates in
                      this context, we develop and analyze a proposal for
                      fault-tolerant, measurement-free quantum error correction
                      using the nine-qubit Bacon-Shor code. Our simulations
                      confirm that quantum error correction can be performed in a
                      fully fault-tolerant manner on a linear Rydberg-ion chain
                      despite its limited qubit connectivity. These results
                      establish native multiqubit Rydberg-ion gates as a valuable
                      resource for fast, high-fidelity quantum computing and
                      highlight their potential for fault-tolerant quantum error
                      correction.},
      keywords     = {Quantum Physics (quant-ph) (Other) / FOS: Physical sciences
                      (Other)},
      cin          = {PGI-2},
      cid          = {I:(DE-Juel1)PGI-2-20110106},
      pnm          = {5221 - Advanced Solid-State Qubits and Qubit Systems
                      (POF4-522) / BRISQ - Brisk Rydberg Ions for Scalable Quantum
                      Processors (101046968)},
      pid          = {G:(DE-HGF)POF4-5221 / G:(EU-Grant)101046968},
      typ          = {PUB:(DE-HGF)25},
      doi          = {10.48550/arXiv.2512.16641},
      url          = {https://juser.fz-juelich.de/record/1050044},
}