Geometric characterization of separability and entanglement in pure Gaussian states by single-mode unitary operations (Articolo in rivista)

Type
Label
  • Geometric characterization of separability and entanglement in pure Gaussian states by single-mode unitary operations (Articolo in rivista) (literal)
Anno
  • 2007-01-01T00:00:00+01:00 (literal)
Alternative label
  • Adesso, G; Giampaolo, SM; Illuminati, F (2007)
    Geometric characterization of separability and entanglement in pure Gaussian states by single-mode unitary operations
    in Physical review. A
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Adesso, G; Giampaolo, SM; Illuminati, F (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 76 (literal)
Rivista
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • CNR, INFM Coherentia, Naples, Italy; Univ Salerno, Dipartimento Fis E R Cainiello, I-84081 Salerno, Italy; CNISM, Unita Salerno, I-84081 Salerno, Italy; Sezione Napoli Grp Coll Salerno, Ist Nazl Fis Nucl, I-84081 Salerno, Italy; Univ Autonoma Barcelona, Grp Inform Quantica, E-08193 Barcelona, Spain; Univ Salerno, Dipartimento Matemat & Informat, I-84084 Salerno, Italy; ISI, Fdn Sci Interchange, I-10133 Turin, Italy (literal)
Titolo
  • Geometric characterization of separability and entanglement in pure Gaussian states by single-mode unitary operations (literal)
Abstract
  • We present a geometric approach to the characterization of separability and entanglement in pure Gaussian states of an arbitrary number of modes. The analysis is performed adapting to continuous variables a formalism based on single subsystem unitary transformations that has been recently introduced to characterize separability and entanglement in pure states of qubits and qutrits [S. M. Giampaolo and F. Illuminati, Phys. Rev. A 76, 042301 (2007)]. In analogy with the finite-dimensional case, we demonstrate that the 1 x M bipartite entanglement of a multimode pure Gaussian state can be quantified by the minimum squared Euclidean distance between the state itself and the set of states obtained by transforming it via suitable local symplectic (unitary) operations. This minimum distance, corresponding to a, uniquely determined, extremal local operation, defines an entanglement monotone equivalent to the entropy of entanglement, and amenable to direct experimental measurement with linear optical schemes. (literal)
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