Hayden-Preskill recovery in chaotic and integrable unitary circuit dynamics

Understand

The Hayden-Preskill protocol probes the capability of information recovery from local subsystems after unitary dynamics.

• As such it resolves the capability of quantum many-body systems to dynamically implement a quantum error-correcting code.
• The transition to coding behavior has been mostly discussed using effective approaches, such as entanglement membrane theory.
• Here, we present exact results on the use of Hayden-Preskill recovery as a dynamical probe of scrambling in local quantum many-body systems.