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

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dc.creatorAdesso, Gerardo
dc.creatorIlluminati, Fabrizio
dc.date2007-03-30
dc.date2007-10-09
dc.date.accessioned2026-07-07T08:34:51Z
dc.date.available2026-07-07T08:34:51Z
dc.descriptionWe 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 is found to be scale invariant. We unveil its operational connection with the optimal fidelity of continuous variable teleportation networks.
dc.description4 pages, 2 figures. Final version, published in PRL
dc.identifierhttps://arxiv.org/abs/quant-ph/0703277
dc.identifierhttp://arxiv.org/abs/quant-ph/0703277
dc.identifierPhys. Rev. Lett. 99, 150501 (2007)
dc.identifierdoi:10.1103/PhysRevLett.99.150501
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139580
dc.subjectQuantum Physics
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleStrong Monogamy of Bipartite and Genuine Multipartite Entanglement: The Gaussian Case
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