Predominance of entanglement of formation over quantum discord under quantum channels

TL;DR

This paper compares entanglement of formation and quantum discord under quantum channels, revealing that entanglement can be more resilient due to system-environment correlations, challenging common expectations.

Contribution

It demonstrates the conditions under which entanglement of formation surpasses quantum discord in robustness, using conservation relations and initial state constraints.

Findings

Entanglement of formation can be more resilient than quantum discord.

System-environment correlations influence the robustness of quantum correlations.

Explicit conditions for the predominance of entanglement are provided.

Abstract

We present a study of the behavior of two different figures of merit for quantum correlations, entanglement of formation and quantum discord, under quantum channels showing how the former can, counterintuitively, be more resilient to such environments spoiling effects. By exploiting strict conservation relations between the two measures and imposing necessary constraints on the initial conditions we are able to explicitly show this predominance is related to build-up of the system-environment correlations.