"[613C1882F12C]" . . "Fiur\u00E1\u0161ek, Jarom\u00EDr" . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . . "RIV/61989592:15310/14:33149932" . "Multipartite quantum correlations, in spite of years of intensive research, still leavemany questions unanswered. While bipartite entanglement is relatively well understood for Gaussian states, the complexity of mere qualitative characterization grows rapidly with increasing number of parties. Here, we present two schemes for transformations of multipartite permutation invariant Gaussian states by Gaussian local operations and classical communication. To this end, we use a scheme for possible experimental realization, making use of the fact that in this picture the whole N-partite state can be described by specifying the states of two separable modes. Numerically, we study entanglement transformations of tripartite states. Finally, we look at the effect our protocols have on fidelity of assisted quantum teleportation and find that, while adding correlated noise does not affect the fidelity at all, there is strong evidence that partial nondemolition measurement leads to a drop in teleportation fidelity."@en . . "2"^^ . "RIV/61989592:15310/14:33149932!RIV15-MSM-15310___" . "4" . . "2"^^ . "Transformations of symmetric multipartite Gaussian states by Gaussian local operations and classical communication"@en . "89" . "\u010Cernot\u00EDk, Ond\u0159ej" . . "criterion; information; entanglement; quantum teleportation network; continuous variable systems"@en . . "1050-2947" . "15310" . . "P(GAP205/12/0694), S" . . "Physical Review A" . "http://journals.aps.org/pra/pdf/10.1103/PhysRevA.89.042331" . . . . . "Transformations of symmetric multipartite Gaussian states by Gaussian local operations and classical communication"@en . . "51019" . "000335227500002" . "Multipartite quantum correlations, in spite of years of intensive research, still leavemany questions unanswered. While bipartite entanglement is relatively well understood for Gaussian states, the complexity of mere qualitative characterization grows rapidly with increasing number of parties. Here, we present two schemes for transformations of multipartite permutation invariant Gaussian states by Gaussian local operations and classical communication. To this end, we use a scheme for possible experimental realization, making use of the fact that in this picture the whole N-partite state can be described by specifying the states of two separable modes. Numerically, we study entanglement transformations of tripartite states. Finally, we look at the effect our protocols have on fidelity of assisted quantum teleportation and find that, while adding correlated noise does not affect the fidelity at all, there is strong evidence that partial nondemolition measurement leads to a drop in teleportation fidelity." . . . "Transformations of symmetric multipartite Gaussian states by Gaussian local operations and classical communication" . "Transformations of symmetric multipartite Gaussian states by Gaussian local operations and classical communication" . "8"^^ . . . . "10.1103/PhysRevA.89.042331" . .