Chaos and magic in the dissipative quantum kicked top

TL;DR

This paper investigates how chaos influences quantum complexity in a dissipative, periodically kicked spin system, revealing that quantum magic correlates with classical chaos, unlike entanglement entropy.

Contribution

It introduces a detailed analysis of the relationship between quantum magic and classical chaos in a dissipative quantum spin model, combining mean-field and stochastic quantum trajectory approaches.

Findings

Quantum magic correlates with classical chaotic regimes.

Entanglement entropy does not relate to chaos in the thermodynamic limit.

Asymptotic nonstabilizerness reflects classical chaotic behavior.

Abstract

We consider an infinite-range interacting quantum spin-1/2 model, undergoing periodic kicking and dissipatively coupled with an environment. In the thermodynamic limit, it is described by classical mean-field equations that can show regular and chaotic regimes. At finite size, we describe the system dynamics using stochastic quantum trajectories. We find that the asymptotic nonstabilizerness (alias the magic, a measure of quantum complexity), averaged over trajectories, mirrors to some extent the classical chaotic behavior, while the entanglement entropy has no relation with chaos in the thermodynamic limit.