Multipartite Secret Correlations and Bound Information

The problem of secret key extraction when n honest parties and an eavesdropper share correlated information is considered. A family of probability distributions is introduced and the full characterization of its distillation properties is presented. This formalism allows to design a rich variety of cryptographic scenarios. In particular, the existence of multipartite probability distributions containing nondistillable secret correlations, also known as bound information, can be proved