Hierarchy of correlation quantifiers comparable to negativity
Abstract
Quantum systems generally exhibit different kinds of correlations. In order to compare them on equal footing, one uses the socalled distancebased 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 distancebased construction. We introduce a suitable distance, discuss the emerging measures and their applications, and compare them to relative entropybased correlation quantifiers. This work is a step towards correlation measures that are simultaneously comparable and computable.
 Publication:

Quantum
 Pub Date:
 February 2022
 DOI:
 10.22331/q20220216654
 arXiv:
 arXiv:2111.11887
 Bibcode:
 2022Quant...6..654G
 Keywords:

 Quantum Physics
 EPrint:
 19 pages, 2 figures. Final version