Robust and high-fidelity quantum entangling gate with neutral Rydberg atoms

In this talk, I will show some theoretical proposals of quantum entangling gate with neutral Rydberg atoms that have high intrinsic fidelity and are robust against dephasing from the atomic motion. With off-resonant transitions between ground and Rydberg states, it is possible to induce input-state-dependent phase to the two-qubit state, so that entanglement can be created with only one pulse efficiently. This talk also presents schemes for partially suppressing the motional dephasing of the transition between ground and Rydberg states for neutral atoms.