title: Quantification and scaling of multipartite entanglement in continuous variable systems.
abstract: We present a theoretical method to determine the multipartite entanglement between different partitions of multimode, fully or partially symmetric Gaussian states of continuous variable systems. For such states, we determine the exact expression of the logarithmic negativity and show that it coincides with that of equivalent two-mode Gaussian states. Exploiting this reduction, we demonstrate the scaling of the multipartite entanglement with the number of modes and its reliable experimental estimate by direct measurements of the global and local purities.
authors.affiliation: Dipartimento di Fisica E. R. Caianiello, Università di Salerno, Via S. Allende, 84081 Baronissi (SA), Italy.
authors.forename: Gerardo
authors.initials: G
authors.lastname: Adesso
authors.forename: Alessio
authors.initials: A
authors.lastname: Serafini
authors.forename: Fabrizio
authors.initials: F
authors.lastname: Illuminati