  We address the balance of quantum correlations for continuous variable (CV)
states. In particular, we consider a class of feasible tripartite CV pure
states and explicitly prove two Koashi-Winter-like conservation laws involving
Gaussian entanglement of formation, Gaussian quantum discord and sub-system Von
Neumann entropies. We also address the class of tripartite CV mixed states
resulting from the propagation in a noisy environment, and discuss how the
previous equalities evolve into inequalities.
