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@ARTICLE{Bohnmann:1038569,
      author       = {Bohnmann, Leon H. and Locher, David F. and Zeiher, Johannes
                      and Müller, Markus},
      title        = {{B}osonic {Q}uantum {E}rror {C}orrection with {N}eutral
                      {A}toms in {O}ptical {D}ipole {T}raps},
      reportid     = {FZJ-2025-01552, arXiv:2408.14251},
      year         = {2025},
      note         = {18 pages, 7 figures},
      abstract     = {Bosonic quantum error correction codes encode logical
                      qubits in the Hilbert space of one or multiple harmonic
                      oscillators. A prominent class of bosonic codes are
                      Gottesman-Kitaev-Preskill (GKP) codes of which
                      implementations have been demonstrated with trapped ions and
                      microwave cavities. In this work, we investigate
                      theoretically the preparation and error correction of a GKP
                      qubit in a vibrational mode of a neutral atom stored in an
                      optical dipole trap. This platform has recently shown
                      remarkable progress in simultaneously controlling the
                      motional and electronic degrees of freedom of trapped atoms.
                      The protocols we develop make use of motional states and,
                      additionally, internal electronic states of the trapped atom
                      to serve as an ancilla qubit. We compare optical tweezer
                      arrays and optical lattices and find that the latter provide
                      more flexible control over the confinement in the
                      out-of-plane direction, which can be utilized to optimize
                      the conditions for the implementation of GKP codes.
                      Concretely, the different frequency scales that the harmonic
                      oscillators in the axial and radial lattice directions
                      exhibit and a small oscillator anharmonicity prove to be
                      beneficial for robust encodings of GKP states. Finally, we
                      underpin the experimental feasibility of the proposed
                      protocols by numerically simulating the preparation of GKP
                      qubits in optical lattices with realistic parameters.},
      cin          = {PGI-2},
      cid          = {I:(DE-Juel1)PGI-2-20110106},
      pnm          = {5221 - Advanced Solid-State Qubits and Qubit Systems
                      (POF4-522)},
      pid          = {G:(DE-HGF)POF4-5221},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2408.14251},
      howpublished = {arXiv:2408.14251},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2408.14251;\%\%$},
      url          = {https://juser.fz-juelich.de/record/1038569},
}