Probing scrambling using statistical correlations between randomized measurements

TL;DR

This paper introduces a protocol to measure quantum information scrambling through statistical correlations of randomized measurements, effectively capturing out-of-time-ordered correlators without complex operations, suitable for current quantum experiments.

Contribution

The authors present a novel, experimentally feasible method to probe quantum chaos by linking measurement correlations to out-of-time-ordered correlators in many-body systems.

Findings

Protocol accurately captures out-of-time-ordered correlators

Method does not require reversing time evolution

Applicable to current quantum simulation platforms

Abstract

We propose and analyze a protocol to study quantum information scrambling using statistical correlations between measurements, which are performed after evolving a quantum system from randomized initial states. We prove that the resulting correlations precisely capture the so-called out-of-time-ordered correlators and can be used to probe chaos in strongly-interacting, many-body systems. Our protocol requires neither reversing time evolution nor auxiliary degrees of freedom, and can be realized in state-of-the-art quantum simulation experiments.