Entanglement criteria for all bipartite gaussian states

G. Giedke; B. Kraus; M. Kraus; J. I. Cirac

doi:10.1103/PhysRevLett.87.167904

Entanglement criteria for all bipartite gaussian states

G. Giedke, B. Kraus, M. Kraus, J. I. Cirac

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183 Scopus citations

Abstract

We provide a necessary and sufficient condition for separability of Gaussian states of bipartite systems of arbitrarily many modes. The condition provides an operational criterion since it can be checked by simple computation. Moreover, it allows us to find a pure product-state decomposition of any given separable Gaussian state. We also show that all bipartite Gaussian states with nonpositive partial transpose are distillable.

Original language	English
Journal	Physical Review Letters
Volume	87
Issue number	16
DOIs	https://doi.org/10.1103/PhysRevLett.87.167904
State	Published - 1 Oct 2001
Externally published	Yes

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10.1103/PhysRevLett.87.167904

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title = "Entanglement criteria for all bipartite gaussian states",

abstract = "We provide a necessary and sufficient condition for separability of Gaussian states of bipartite systems of arbitrarily many modes. The condition provides an operational criterion since it can be checked by simple computation. Moreover, it allows us to find a pure product-state decomposition of any given separable Gaussian state. We also show that all bipartite Gaussian states with nonpositive partial transpose are distillable.",

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AU - Cirac, J. I.

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AB - We provide a necessary and sufficient condition for separability of Gaussian states of bipartite systems of arbitrarily many modes. The condition provides an operational criterion since it can be checked by simple computation. Moreover, it allows us to find a pure product-state decomposition of any given separable Gaussian state. We also show that all bipartite Gaussian states with nonpositive partial transpose are distillable.

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JO - Physical Review Letters

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Entanglement criteria for all bipartite gaussian states

Abstract

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