# Strong Chaos of Fast Scrambling Yields Order: Emergence of Decoupled Quantum Information Capsules

## TL;DR

This paper explores how strong chaos from fast scrambling in quantum systems leads to an ordered structure of information storage, with implications for black hole information paradox and potential experimental observations.

## Contribution

It introduces the concept of decoupled quantum information capsules emerging from chaotic dynamics in entangled qudits, linking quantum chaos to information organization.

## Key findings

- Strong chaos induces ordered information structures.
- Quantum Fisher information metric exhibits emergent isometry.
- Potential experimental observation in cold atom systems.

## Abstract

The information loss problem in black hole evaporation is one of fundamental issues. Its resolution requires more profound understanding of information storage mechanism in quantum systems. In this Letter, we argue that when multiple unknown parameters are stored in large entangled qudits, strong chaos generated by fast scrambling in high temperature limit yields an ordered information storage structure with decoupled quantum information capsules (QICs). A rotational isometry emerges in the quantum Fisher information metric. The isometry is expected to be observed in future experiments on cold atoms in a pure entangled state. We provide a QIC speculation of black hole evaporation.