  It is a central trait of quantum information theory that there exist
limitations to the free sharing of quantum correlations among multiple parties.
Such 'monogamy constraints' have been introduced in a landmark paper by
Coffman, Kundu and Wootters, who derived a quantitative inequality expressing a
trade-off between the couplewise and the genuine tripartite entanglement for
states of three qubits. Since then, a lot of efforts have been devoted to the
investigation of distributed entanglement in multipartite quantum systems. In
these proceedings we report, in a unifying framework, a bird's eye view of the
most relevant results that have been established so far on entanglement sharing
in quantum systems. We will take off from the domain of N qubits, graze qudits,
and finally land in the almost unexplored territory of multimode Gaussian
states of continuous variable systems.
