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(logN) 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.
@article{arxiv.2102.13117,
title = {Deterministic Fast Scrambling with Neutral Atom Arrays},
author = {Tomohiro Hashizume and Gregory Bentsen and Sebastian Weber and Andrew J. Daley},
journal= {arXiv preprint arXiv:2102.13117},
year = {2022}
}
Comments
7 pages with 4 figures (plus 7-page supplement with 4 figures); updated to match published version