Redundancy from Subsystem Thermalization

TL;DR

This paper demonstrates that quantum redundancy, crucial for classical emergence, can persist despite environmental thermalization, influenced by initial interactions and conserved quantities.

Contribution

It reveals that redundancy can survive thermalizing dynamics through initial broadcasting interactions affecting conserved quantities.

Findings

Redundancy persists despite environmental thermalization.

Mutual information is estimated using large deviation principles.

Initial broadcasting interactions influence the survival of redundancy.

Abstract

In the theory of decoherence, redundancy is the correlation between a quantum system and fractions of the environment. It underlies the emergence of classical behavior. We show that redundancy can persist despite thermalizing dynamics in the environment. This follows an initial broadcasting interaction that changes the density of a conserved quantity. The mutual information between the system and a fraction of the environment is estimated using the large deviation principle governing subsystem thermalization.