  Quantum systems generally exhibit different kinds of correlations. In order
to compare them on equal footing, one uses the so-called distance-based
approach where different types of correlations are captured by the distance to
different sets of states. However, these quantifiers are usually hard to
compute as their definition involves optimization aiming to find the closest
states within the set. On the other hand, negativity is one of the few
computable entanglement monotones, but its comparison with other correlations
required further justification. Here we place negativity as part of a family of
correlation measures that has a distance-based construction. We introduce a
suitable distance, discuss the emerging measures and their applications, and
compare them to relative entropy-based correlation quantifiers. This work is a
step towards correlation measures that are simultaneously comparable and
computable.
