Scaling separability criterion: application to Gaussian states

  • Alexandr Sergeevich
  • Vladimir I. Man’ko


We introduce examples of three- and four-mode entangled Gaussian mixed states that are not detected by the scaling and Peres–Horodecki separability criteria. The presented modification of the scaling criterion resolves this problem. Also it is shown that the new criterion reproduces the main features of the scaling pictures for different cases of entangled states, while the previous versions lead to completely different outcomes. This property of the presented scheme is evidence of its higher generality.


entanglement Gaussian states scaling transform multimode light separability criterion 


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Copyright information

© Springer Science+Business Media, Inc. 2009

Authors and Affiliations

  1. 1.School of PhysicsThe University of SydneyNew South WalesAustralia
  2. 2.P. N. Lebedev Physical InstituteRussian Academy of SciencesMoscowRussia

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