Floquet circuits inspired by holographic matrix models

TL;DR

This paper proposes using neutral atom experiments with optical tweezers to simulate Floquet circuits that display fast scrambling, exemplified by a simplified Hayden-Preskill protocol utilizing stabilizer error correction.

Contribution

It introduces a new approach to simulate holographic matrix models using Floquet circuits in neutral atom systems, highlighting signatures of fast scrambling.

Findings

Floquet Clifford circuits show signatures of fast scrambling.

A simplified Hayden-Preskill protocol is demonstrated with stabilizer error correction.

Neutral atom experiments can mimic complex quantum dynamics.

Abstract

We argue that near-term experiments with neutral atoms in movable optical tweezers can simulate circuits that mimic the Trotterized time-evolution of simple matrix models in quantum mechanics. As a cartoon of this proposal, we study Floquet Clifford circuits which exhibit a number of signatures of fast scrambling. One such illustration is a simplified Hayden-Preskill recovery protocol, in which stabilizer quantum error correction replaces postselection.