# Optimized Measures of Bipartite Quantum Correlation

## TL;DR

This paper develops a systematic framework for characterizing bipartite quantum correlations using optimized linear entropic functions, resulting in two new simple and additive measures with desirable properties.

## Contribution

It introduces a novel systematic approach to identify correlation measures based on linear entropies, leading to two new simple and additive bipartite quantum correlation measures.

## Key findings

- Identified four cones of correlation measures for bipartite states.
- Derived two new optimized measures that are simple and additive.
- Established monotonicity under local processing for these measures.

## Abstract

How can we characterize different types of correlation between quantum systems? Since correlations cannot be generated locally, we take any real function of a multipartite state which cannot increase under local operations to measure a correlation. Correlation measures that can be expressed as an optimization of a linear combination of entropies are particularly useful, since they can often be interpreted operationally. We systematically study such optimized linear entropic functions, and by enforcing monotonicity under local processing we identify four cones of correlation measures for bipartite quantum states. This yields two new optimized measures of bipartite quantum correlation that are particularly simple, which have the additional property of being additive.