Abstract: 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 and robust multi-qubit gates for neutral atoms. We present a family of Rydberg blockade gates that are robust against two common experimental imperfections -- intensity inhomogeneity and Doppler shifts – and demonstrate that these gates outperform existing gates for moderate or large imperfections. We also consider the performance of these gates in the context of a logical qubit and discuss how they may significantly reduce the laser stability and atomic temperature requirements to achieve fault-tolerant quantum computing for erasure-biased neutral atoms qubits. We conclude by commenting on alternative schemes to realize fast deterministic non-local multi-qubit quantum gates on qubits coupled to a common driven cavity mode and suggest possible applications for quantum simulations and error correction.