Generalized approach to quantify correlations in bipartite quantum systems

TL;DR

This paper introduces a comprehensive method for detecting and quantifying classical, quantum, and total correlations in bipartite quantum systems using distance-based measures, ensuring physical consistency.

Contribution

It presents a generalized framework for correlation quantification in bipartite quantum systems based on distance measures that satisfy specific physical criteria.

Findings

New correlation measures for quantum, classical, and total correlations

Framework ensures measures are physically well-behaved

Applicable to various bipartite quantum states

Abstract

In this work we developed a general approach to the problem of detecting and quantifying different kind of correlations in bipartite quantum systems. Our method is based on the use of distances between quantum states and processes. We rely upon the premise that total correlations can be separated into classical and quantum contributions due to their different nature. In addition, according to recently discussed criteria, we determined the requirements to be satisfied by distances in order to generate correlation measures physically well behaved. The proposed measures allow us to quantify quantum, classical and total correlations.