Premium
Entanglement properties of Gaussian states
Author(s) -
Kraus B.,
Giedke G.,
Lewenstein M.,
Cirac J.I.
Publication year - 2003
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.200310043
Subject(s) - gaussian , bipartite graph , quantum entanglement , statistical physics , mode (computer interface) , peres–horodecki criterion , gaussian random field , multipartite entanglement , computer science , mathematics , cluster state , gaussian function , theoretical computer science , physics , squashed entanglement , quantum mechanics , quantum , graph , operating system
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.