Bosonic Quantum Error Correction with Neutral Atoms in Optical Dipole Traps

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 is that of Gottesman-Kitaev-Preskill (GKP) codes of which implementations have been demonstrated with trapped ions and microwave cavities. In this paper, 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 an optical lattice with realistic parameters.

22 pages, 8 figures

References in corpus (15)

• Logical quantum processor based on reconfigurable atom arrays
• Demonstration of multi-qubit entanglement and algorithms on a programmable neutral atom quantum computer
• High-fidelity parallel entangling gates on a neutral atom quantum computer
• High-fidelity gates with mid-circuit erasure conversion in a metastable neutral atom qubit
• Species-specific optical lattices
• Quantum Error Correction with the Gottesman-Kitaev-Preskill Code
• Multi-qubit gates and Schrödinger cat states in an optical clock
• Continuous operation of large-scale atom arrays in optical lattices
• Universal quantum operations and ancilla-based readout for tweezer clocks
• High-fidelity detection of large-scale atom arrays in an optical lattice
• Coherent Control of the Fine-Structure Qubit in a Single Alkaline-Earth Atom
• Robust and Deterministic Preparation of Bosonic Logical States in a Trapped Ion
• Fine-Structure Qubit Encoded in Metastable Strontium Trapped in an Optical Lattice
• Advances in Bosonic Quantum Error Correction with Gottesman-Kitaev-Preskill Codes: Theory, Engineering and Applications
• Two-qubit operations for finite-energy Gottesman-Kitaev-Preskill encodings

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