title: Genuine quantum and classical correlations in multipartite systems.
abstract: Generalizing the quantifiers used to classify correlations in bipartite systems, we define genuine total, quantum, and classical correlations in multipartite systems. The measure we give is based on the use of relative entropy to quantify the distance between two density matrices. Moreover, we show that, for pure states of three qubits, both quantum and classical bipartite correlations obey a ladder ordering law fixed by two-body mutual informations, or, equivalently, by one-qubit entropies.
authors.affiliation: IFISC, UIB-CSIC, Instituto de Física Interdisciplinar y Sistemas Complejos, UIB Campus, E-07122 Palma de Mallorca, Spain.
authors.forename: Gian Luca
authors.initials: GL
authors.lastname: Giorgi
authors.forename: Bruno
authors.initials: B
authors.lastname: Bellomo
authors.forename: Fernando
authors.initials: F
authors.lastname: Galve
authors.forename: Roberta
authors.initials: R
authors.lastname: Zambrini