  The inevitable interaction between quantum systems and environment induces
effects of decoherence which may be so strong as to destroy any initial
entanglement between the systems, a phenomenon known as "entanglement
breaking". Here we show the simplest examples where the combination of two
entanglement-breaking channels into a joint correlated-noise environment
reactivates the distribution of entanglement, with classes of entangled states
which are perfectly transmitted from a middle station (Charlie) to two remote
stations (Alice and Bob). Surprisingly, this reactivation is induced by the
presence of purely-classical correlations in the joint environment, whose state
is separable with zero discord. This paradoxical effect is proven for quantum
systems with Hilbert spaces of any dimension, both finite and infinite.
