# Uniform Quantification of Correlations for Bipartite Systems

## TL;DR

This paper introduces a unified framework based on relative entropy to quantify various quantum correlations in bipartite systems, revealing their interrelationships and applying the method to Bell diagonal states.

## Contribution

It provides a unified characterization of quantum correlations using relative entropy, linking nonlocality, steerability, discord, and entanglement in bipartite states.

## Key findings

- Quantities for nonlocality, steerability, entanglement, and discord are strictly monotonic for two-qubit states.
- The framework applies to Bell diagonal states, illustrating the relationships among different quantum correlations.
- The approach offers a comprehensive way to compare and analyze quantum correlations in bipartite systems.

## Abstract

Based on the relative entropy, we give a unified characterization of quantum correlations for nonlocality, steerability, discord and entanglement for any bipartite quantum states. For two-qubit states we show that the quantities obtained from quantifying nonlocality, steerability, entanglement and discord have strictly monotonic relationship. As for examples, the Bell diagonal states are studied in detail.