"Neutral atoms have emerged as a competitive platform for digital quantum simulations and computing.
In this talk, we discuss recent results on the design of time-optimal two- and three-qubit gates for neutral
atoms, where entangling gates are implemented via the strong and long-range interactions provided by
highly excited Rydberg states. We combine numerical and semi-analytical quantum optimal control
techniques to obtain theoretically laser pulses that are “smooth”, time-optimal and “global” -- that is,
they do not require individual addressability of the atoms. This technique improves upon current
implementations of the controlled-Z (CZ) and the three-qubit C2Z gates with just a limited set of
variational parameters, demonstrating the potential of quantum optimal control techniques for advancing quantum computing with Rydberg atoms."