TY  - EJOUR
AU  - Bohnmann, Leon H.
AU  - Locher, David F.
AU  - Zeiher, Johannes
AU  - Müller, Markus
TI  - Bosonic Quantum Error Correction with Neutral Atoms in Optical Dipole Traps
IS  - arXiv:2408.14251
M1  - FZJ-2025-01552
M1  - arXiv:2408.14251
PY  - 2025
N1  - 18 pages, 7 figures
AB  - 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.
LB  - PUB:(DE-HGF)25
UR  - https://juser.fz-juelich.de/record/1038569
ER  -