Vlad Gheorghiu, Gilad Gour
We study how multi-partite entanglement evolves under the paradigm of separable operations, which include the local operations and classical communication (LOCC) as a special case. We prove that the average "decay" of entanglement induced by a separable operation is measure independent and state independent: the ratio between the average output entanglement and the initial entanglement is solely a function of the separable operation, regardless of the input state and of the entanglement measure being used. This completely characterizes the evolution of multi-partite entanglement under the most general local noise processes. We discuss the "disentangling power" of a quantum channel and show that it exhibits a similar state invariance as the average entanglement decay ratio. Our article significantly extends the bipartite results of Ref. [1-3] as well as the multi-partite one of Ref. [4], all of the previous work being restricted to one-sided or particular noise models.
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http://arxiv.org/abs/1205.2667
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