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We study the dynamics of the entanglement structure of a multipartite systemexperiencing a dissipative evolution. We characterize the processes leading toa particular form of output system entanglement and provide a recipe for theiridentification via concatenations of particular linear maps withentanglement-breaking operations. We illustrate the applicability of ourapproach by considering local and global depolarizing noises acting on generalmultiqubit states. A difference in the typical entanglement behavior of systemssubjected to these noises is observed: the originally genuine entanglementdissociates by splitting off particles one by one in the case of local noise,whereas intermediate stages of entanglement clustering are present in the caseof global noise. We also analyze the definitive phase of evolution when theannihilation of the entanglement compound finally takes place.

Dissociation and annihilation of multipartite entanglement structure in dissipative quantum dynamics