Minkowski structure for purity and entanglement of Gaussian bipartite states

Autor(es)

de Oliveira, Marcos C. ^[1] ; Nicacio, Fernando ^[1] ; Mizrahi, Salomon S. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Inst Fis Gleb Wataghin, BR-13083859 Sao Paulo - Brazil

^[2] Univ Fed Sao Carlos, Dept Fis, CCET, BR-13565905 Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Physical Review A; v. 88, n. 5 NOV 20 2013.
• Citações Web of Science: 1

Resumo

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. (AU)

• Processo FAPESP: 09/16369-8 - Informação Quântica no Espaço de Fase
• Beneficiário: Fernando Antonio Nazareth Nicacio
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado