Two Different Definitions on Genuine Quantum and Classical Correlations in Multipartite Systems Do Not Coincide in General

TL;DR

This paper demonstrates that two different definitions of genuine quantum and classical correlations in multipartite systems generally do not agree, highlighting a fundamental distinction in how these correlations are characterized.

Contribution

It clarifies that the two prevalent definitions of genuine quantum and classical correlations are not equivalent in general multipartite systems.

Findings

The two definitions of correlations do not coincide in general.

This discrepancy impacts the understanding of quantum correlations.

The paper emphasizes the need for careful choice of correlation definitions.

Abstract

In this paper we point out that the genuine quantum and classical correlations defined by Giorgi et al in two different ways [Phys. Rev. Lett. 107, 190501 (2011), arXiv:1108.0434] do not coincide in general.