Deterministic Fast Scrambling with Neutral Atom Arrays

Abstract

Fast scramblers are dynamical quantum systems that produce many-body entanglement on a timescale that grows logarithmically with the system size $N$. We propose and investigate a family of deterministic, fast scrambling quantum circuits realizable in near-term experiments with arrays of neutral atoms. We show that three experimental tools -- nearest-neighbour 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. These tools enable direct experimental access to fast scrambling dynamics in a highly controlled and programmable way, and can be harnessed to produce highly entangled states with varied applications.

7 pages with 4 figures (plus 7-page supplement with 4 figures); updated to match published version

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• A quantum processor based on coherent transport of entangled atom arrays
• The Limits of Quantum Information Scrambling
• Fault-tolerant compiling of classically hard IQP circuits on hypercubes
• Onset of scrambling as a dynamical transition in tunable-range quantum circuits
• Tunable Geometries in Sparse Clifford Circuits
• Entangled states from sparsely coupled spins for metrology with neutral atoms
• Control of Dipolar Dynamics by Geometrical Programming