Gaussian operations and privacy

Abstract
We consider the possibilities offered by Gaussian states and operations for two honest parties, Alice and Bob, to obtain privacy against a third eavesdropping party, Eve. We first extend the security analysis of the protocol proposed in M. Navascues et al., Phys. Rev. Lett. 94, 010502 (2005). Then, we prove that a generalized version of this protocol does not allow to distill a secret key out of bound entangled Gaussian states.
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