Towards the Realization of a Cluster State of Neutral Atoms in a 3D Optical Lattice*

Cluster states are a promising resource for quantum computation due to their robust and unique entanglement properties. Here, we present progress towards creating a cluster state in a 3D optical lattice of neutral cesium atoms. Starting with a nearly filled lattice of atoms in their vibrational ground state, we use controlled cold collisions to entangle each atom with its nearest neighbors along a line. Extending this process to all three spatial dimensions produces a 3D cluster state, equivalent to implementing a set of two-qubit entangling gates on every atom and its nearest neighbors. To enable these collisions, the atoms are transferred to a field-sensitive state, which suppresses inelastic scattering and minimizes collisional losses. The heightened sensitivity of the field-sensitive state to environmental fields necessitates advanced feedback techniques to suppress noise, ensuring quantum information fidelity. These methods could benefit other experiments, such as those using field-sensitive states as a storage basis for quantum information. Finally, we will characterize the generated cluster states through stabilizer measurements, leveraging our high-fidelity single-atom qubit gates and 3D state detection capabilities.

References

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[2] Nielsen, Michael A. “Cluster-State Quantum Computation.” Reports on Mathematical Physics 57, no. 1 (2006).

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