Entanglement as the symmetric portion of correlated coherence

TL;DR

This paper demonstrates that the symmetric part of correlated coherence serves as a valid and computable entanglement measure, establishing a bidirectional relationship between coherence and entanglement quantification.

Contribution

It introduces a class of coherence-based entanglement monotones derived from correlated coherence, valid for pure states and extendable to nonclassical correlations.

Findings

Symmetric correlated coherence quantifies entanglement.

The class of measures is computable for pure states.

The approach relates to quantum discord and nonclassical correlations.

Abstract

We show that the symmetric portion of correlated coherence is always a valid quantifier of entanglement, and that this property is independent of the particular choice of coherence measure. This leads to an infinitely large class of coherence based entanglement monotones, which is always computable for pure states if the coherence measure is also computable. It is already known that every entanglement measure can be constructed as a coherence measure. The results presented here show that the converse is also true. The constructions that are presented can also be extended to also include more general notions of nonclassical correlations, leading to quantifiers that are related to quantum discord.