Deterministic fast scrambling with Rydberg arrays

Fast scramblers are quantum many-body systems that rapidly delocalize quantum information on a timescale that grows logarithmically with the system size N, thereby effectively protecting quantum information from single-qubit errors using the fewest 2-body interactions possible. Here we show how to construct deterministic fast scrambling quantum circuits in near-term experiments with neutral atoms in optical lattices. We show that three experimental tools – nearest-neighbor Rydberg interactions, global single-qubit rotations, and shuffling operations facilitated by an auxiliary tweezer array – are sufficient to generate nonlocal interaction graphs capable of scrambling quantum information using only O(log N) parallel applications of nearest-neighbor gates. We characterize the scrambling properties of these circuits using the Hayden-Preskill thought experiment, and show that these circuits may be harnessed to protect quantum information from multi-qubit erasure even in the presence of realistic levels of dissipation expected in near-term experimental platforms.