Deterministic Fast Scrambling with Neutral Atom Arrays

TL;DR

This paper introduces a deterministic quantum circuit design using neutral atom arrays that achieves fast information scrambling, enabling experimental study of entanglement dynamics with minimal gate applications.

Contribution

It proposes a practical method for realizing fast scrambling in near-term quantum devices using neutral atom arrays and specific experimental tools.

Findings

Achieves logarithmic-depth scrambling with $O( ext{log} N)$ gates.

Demonstrates the feasibility of implementing nonlocal interactions in neutral atom systems.

Enables controlled generation of highly entangled states for quantum information applications.

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.