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Multipartite entanglement has been shown to be of particular relevance for abetter understanding and exploitation of the dynamics and flow of entanglementin multiparty systems. This calls for analysis aimed at identifying theappropriate processes that guarantee the emergence of multipartite entanglementin a wide range of scenarios. Here we carry on such analysis considering asystem of two initially entangled qubits, one of which is let to interact witha third qubit according to an arbitrary unitary evolution. We establishnecessary and sufficient conditions on the corresponding Kraus operators, todiscern whether the evolved state pertains to either one of the classes of3-qubit pure states that exhibit some kind of entanglement, namely biseparable,W-, and GHZ- genuine entangled classes. Our results provide a classification ofthe Kraus operators according to their capacity of producing 3-qubitentanglement, and pave the way for extending the analysis to larger systems anddetermining the particular interactions that must be implemented in order tocreate, enhance and distribute entanglement in a specific manner.

the european physical journal. d, atomic, molecular and optical physics/the european physical journal. d, atomic, molecular, optical and plasma physics

Guaranteed emergence of genuine entanglement in 3-qubit evolving systems