http://www.cnr.it/ontology/cnr/individuo/prodotto/ID3225

Genuine multipartite entanglement of symmetric Gaussian states: Strong monogamy, unitary localization, scaling behavior, and molecular sharing structure (Articolo in rivista)

Type

Articolo in rivista (Classe)
Prodotto della ricerca (Classe)

Label

Genuine multipartite entanglement of symmetric Gaussian states: Strong monogamy, unitary localization, scaling behavior, and molecular sharing structure (Articolo in rivista) (literal)

Anno

2008-01-01T00:00:00+01:00 (literal)

Alternative label

Adesso, G; Illuminati, F (2008)
Genuine multipartite entanglement of symmetric Gaussian states: Strong monogamy, unitary localization, scaling behavior, and molecular sharing structure
in Physical review. A
(literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori

Adesso, G; Illuminati, F (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume

78 (literal)

Rivista

Physical review. A (Rivista)

Note

ISI Web of Science (WOS) (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni

\"[Adesso, Gerardo; Illuminati, Fabrizio] Univ Salerno, Dipartimento Matemat & Informat, I-84084 Fisciano, SA, Italy; [Adesso, Gerardo; Illuminati, Fabrizio] INFM Coherentia, CNR, Naples, Italy; [Adesso, Gerardo; Illuminati, Fabrizio] CNISM, Unita Salerno, Salerno, Italy; [Adesso, Gerardo; Illuminati, Fabrizio] Ist Nazl Fis Nucl, Sez Napoli, Grp Coll Salerno, Salerno, Italy; [Illuminati, Fabrizio] ISI Fdn Sci Interchange, I-10133 Turin, Italy (literal)

Titolo

Genuine multipartite entanglement of symmetric Gaussian states: Strong monogamy, unitary localization, scaling behavior, and molecular sharing structure (literal)

Abstract

We investigate the structural aspects of genuine multipartite entanglement in Gaussian states of continuous variable systems. Generalizing the results of Adesso and Illuminati [Phys. Rev. Lett. 99, 150501 (2007)], we analyze whether the entanglement shared by blocks of modes distributes according to a strong monogamy law. This property, once established, allows us to quantify the genuine N-partite entanglement not encoded into 2,...,K,...,(N-1)-partite quantum correlations. Strong monogamy is numerically verified, and the explicit expression of the measure of residual genuine multipartite entanglement is analytically derived, by a recursive formula, for a subclass of Gaussian states. These are fully symmetric (permutation-invariant) states that are multipartitioned into blocks, each consisting of an arbitrarily assigned number of modes. We compute the genuine multipartite entanglement shared by the blocks of modes and investigate its scaling properties with the number and size of the blocks, the total number of modes, the global mixedness of the state, and the squeezed resources needed for state engineering. To achieve the exact computation of the block entanglement, we introduce and prove a general result of symplectic analysis: Correlations among K blocks in N-mode multisymmetric and multipartite Gaussian states, which are locally invariant under permutation of modes within each block, can be transformed by a local (with respect to the partition) unitary operation into correlations shared by K single modes, one per block, in effective nonsymmetric states where N-K modes are completely uncorrelated. Due to this theorem, the above results, such as the derivation of the explicit expression for the residual multipartite entanglement, its nonnegativity, and its scaling properties, extend to the subclass of non-symmetric Gaussian states that are obtained by the unitary localization of the multipartite entanglement of symmetric states. These findings provide strong numerical evidence that the distributed Gaussian entanglement is strongly monogamous under and possibly beyond specific symmetry constraints, and that the residual continuous-variable tangle is a proper measure of genuine multipartite entanglement for permutation-invariant Gaussian states under any multipartition of the modes. (literal)

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