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Entanglement properties of Gaussian states

✍ Scribed by B. Kraus; G. Giedke; M. Lewenstein; J.I. Cirac

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
109 KB
Volume
51
Category
Article
ISSN
0015-8208

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✦ Synopsis

Abstract

On the one hand we present necessary and sufficient conditions for both the separability and the distillability of bipartite Gaussian states of an arbitrary number of modes. On the other hand we classify tripartite three‐mode Gaussian states according to their separability properties and provide necessary and sufficient conditions for separability of those states . All the conditions presented here can be easily checked by direct calculations, thus providing operational criteria. This solves the separability problem for all bipartite as well as tripartite three‐mode Gaussian states and the distillability problem for all bipartite Gaussian states.

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