Universal limitation of quantum information recovery: symmetry versus coherence

Understand

Quantum information is scrambled via chaotic time evolution in many-body systems.

• The recovery of initial information embedded locally in the system from the scrambled quantum state is a fundamental concern in many contexts.
• From a dynamical perspective, information recovery can measure dynamical instability in quantum chaos, fault-tolerant quantum computing, and the black hole information paradox.
• This article considers general aspects of quantum information recovery when the scrambling dynamics have conservation laws due to Lie group symmetries.