Strong Monogamy of Bipartite and Genuine Multipartite Entanglement: The Gaussian Case

Gerardo Adesso, Fabrizio Illuminati
2007 Physical Review Letters  
We demonstrate the existence of general constraints on distributed quantum correlations, which impose a trade-off on bipartite and multipartite entanglement at once. For all N-mode Gaussian states under permutation invariance, we establish exactly a monogamy inequality, stronger than the traditional one, that by recursion defines a proper measure of genuine N-partite entanglement. Strong monogamy holds as well for subsystems of arbitrary size, and the emerging multipartite entanglement measure
more » ... s found to be scale invariant. We unveil its operational connection with the optimal fidelity of continuous variable teleportation networks.
doi:10.1103/physrevlett.99.150501 pmid:17995148 fatcat:rqgccpad7rg35p3uldgafofpqu