Single- and two-qubit quantum gates using superimposed optical lattice potentials

Abstract

Steps towards implementing a collision based two-qubit gate in optical lattices have previously been realized by the parallel merging all pairs of atoms in a periodicity two superlattice. In contrast, we propose an architecture which allows for the merger of a selected qubit pair in a novel long-periodicity superlattice structure consisting of two optical lattices with close-lying periodicity. We numerically optimize the gate time and fidelity, including the effects on neighboring atoms, and in the presence of experimental sources of error. Furthermore, the superlattice architecture induces a differential hyperfine shift, allowing for single-qubit gates. The fastest possible single-qubit gate times, given a maximal tolerable rotation error on the remaining atoms at various values of the lattice wavelengths, are identified. We find that robust single- and two-qubit gates with gate times of a few 100~$\mu$s and with error probabilities $\sim 10^{-3}$ are possible.

7 pages, 5 figures. Accepted in Physical Review A

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Cited by in corpus (8)

• Exploring the Quantum Speed Limit with Computer Games
• Fast multi-qubit gates by adiabatic evolution in interacting excited state manifolds
• Characterization of Bose-Hubbard Models with Quantum Non-demolition Measurements
• Time-Optimal Control of Collisional $\sqrt{\text{SWAP}}$ Gates in Ultracold Atomic Systems
• Robustness of Enhanced Shortcuts to Adiabaticity in Lattice Transport
• Simplified landscapes for optimization of shaken lattice interferometry
• Manipulating matter waves in an optical superlattice
• Fast quantum gate via Feshbach-Pauli blocking in a nanoplasmonic trap