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- W2045311837 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 to a hyperbolic space with a Minkowski metric, which is divided in two regions - separablelike and entangledlike, in equivalence to timelike and spacelike in special relativity. This correspondence naturally allows the definition of two insightful invariant squared distances 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." @default.
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- W2045311837 date "2013-11-20" @default.
- W2045311837 modified "2023-10-03" @default.
- W2045311837 title "Minkowski structure for purity and entanglement of Gaussian bipartite states" @default.
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- W2045311837 doi "https://doi.org/10.1103/physreva.88.052324" @default.
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