Unified entropic measures of quantum correlations induced by local measurements

• Published in: Physica A 2016-11, Vol.462, p.930-939
• Main Authors: Bosyk, G.M., Bellomo, G., Zozor, S., Portesi, M., Lamberti, P.W.
• Format: Article
• Language: English
• Subjects: Information Theory; Local projective measurements; Mathematics; Physics; Quantum correlations; Quantum Physics; Quantum unified entropies
• ISSN: 0378-4371; 1873-2119; 0378-4371
• DOI: 10.1016/j.physa.2016.06.131

We introduce quantum correlation measures based on the minimal change in unified entropies induced by local rank-one projective measurements, divided by a factor that depends on the generalized purity of the system in the case of nonadditive entropies. In this way, we overcome the issue of the artificial increasing of the value of quantum correlation measures based on nonadditive entropies when an uncorrelated ancilla is appended to the system, without changing the computability of our entropic correlation measures with respect to the previous ones. Moreover, we recover as limiting cases the quantum correlation measures based on von Neumann and Rényi entropies (i.e., additive entropies), for which the adjustment factor becomes trivial. In addition, we distinguish between total and semiquantum correlations and obtain some inequalities between them. Finally, we obtain analytical expressions of the entropic correlation measures for typical quantum bipartite systems. •We propose a family of quantum correlation measures for bipartite quantum systems.•We extend previous approaches by using quantum unified entropies.•The measures are invariant under addition of an uncorrelated ancilla.•We give some relationships between total and semiquantum correlations.•We obtain analytical results for pseudopure, Werner and isotropic states.