Multipartite secret key distillation and bound entanglement

Abstract

Recently it has been shown that quantum cryptography beyond pure entanglement distillation is possible and a paradigm for the associated protocols has been established. Here we systematically generalize the whole paradigm to the multipartite scenario. We provide constructions of new classes of multipartite bound entangled states, i.e., those with underlying twisted GHZ structure and nonzero distillable cryptographic key. We quantitatively estimate the key from below with help of the privacy squeezing technique.

Revtex, 24 pages, 7 figures, minor improvements, proof of Theorem III.2 corrected, some references added, accepted for publication in Physical Review A