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Type: Artigo de periódico
Title: Minkowski structure for purity and entanglement of Gaussian bipartite states
Author: de Oliveira, MC
Nicacio, F
Mizrahi, SS
Abstract: The relation between the symplectic and Lorentz groups is explored to investigate entanglement features in a two-mode bipartite Gaussian state. We verify that the correlation matrix of arbitrary Gaussian states can be associated with a hyperbolic space with a Minkowski metric, which is divided in two regions: separabilitylike and entanglementlike, in equivalence to timelike and spacelike in special relativity. This correspondence naturally allows the definition of two insightful invariant squared distance measures: one related to the purity and another related to amount of entanglement. The second distance allows us to define a measure for entanglement in terms of the invariant interval between the given state and its closest separable state, given in a natural manner without the requirement of a minimization procedure.
Country: EUA
Editor: Amer Physical Soc
Rights: aberto
Identifier DOI: 10.1103/PhysRevA.88.052324
Date Issue: 2013
Appears in Collections:Unicamp - Artigos e Outros Documentos

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