  We study general quantum correlations of continuous variable Gaussian states
and their interplay with entanglement. Specifically, we investigate the
existence of a quantum protocol activating all nonclassical correlations
between the subsystems of an input bipartite continuous variable system, into
output entanglement between the system and a set of ancillae. For input
Gaussian states, we prove that such an activation protocol cannot be
accomplished with Gaussian operations, as the latter are unable to create any
output entanglement from an initial separable yet nonclassical state in a
worst-case scenario. We then construct a faithful non-Gaussian activation
protocol, encompassing infinite-dimensional generalizations of controlled-NOT
gates to generate entanglement between system and ancillae, in direct analogy
with the finite-dimensional case. We finally calculate the negativity of
quantumness, an operational measure of nonclassical correlations defined in
terms of the performance of the activation protocol, for relevant classes of
two-mode Gaussian states.
