Redundancy of classical and quantum correlations during decoherence

TL;DR

This paper investigates how classical and quantum correlations evolve during decoherence, revealing different redundancy behaviors and introducing a new measure to better understand the emergence of classicality from quantum systems.

Contribution

It introduces a new measure of redundancy and compares it with existing ones to analyze correlation behavior during decoherence in quantum systems.

Findings

Entanglement and total correlations depend differently on environment size.

Redundancy manifests differently in classical and quantum correlations.

A new measure of redundancy is proposed and compared with existing measures.

Abstract

We analyze the time dependence of entanglement and total correlations between a system and fractions of its environment in the course of decoherence. For the quantum Brownian motion model we show that the entanglement and total correlations have rather different dependence on the size of the environmental fraction. Redundancy manifests differently in both types of correlations and can be related with induced--classicality. To study this we introduce a new measure of redundancy and compare it with the existing one.