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We studied pure state transformations using local operations assisted byfinitely many rounds of classical communication ($LOCC_{\mathbb{N}}$) in C.Spee, J.I. de Vicente, D. Sauerwein, B. Kraus, arXiv:1606.04418 (2016). Here,we first of all present the details of some of the proofs and generalize theconstruction of examples of state transformations via $LOCC_{\mathbb{N}}$ whichrequire a probabilistic step. However, we also present explicit examples ofSLOCC classes where any separable transformation can be realized by a protocolin which each step is deterministic (all-det-$LOCC_{\mathbb{N}}$). Suchtransformations can be considered as natural generalizations of bipartitetransformations. Furthermore, we provide examples of pure state transformationswhich are possible via separable transformations, but not via$LOCC_{\mathbb{N}}$. We also analyze an interesting genuinely multipartiteeffect which we call locking or unlocking the power of other parties. Thismeans that one party can prevent or enable the implementation of LOCCtransformations by other parties. Moreover, we investigate the maximallyentangled set restricted to $LOCC_{\mathbb{N}}$ and show how easily computablebounds on some entanglement measures can be derived by restricting to$LOCC_{\mathbb{N}}$.

Entanglement manipulation of multipartite pure states with finite rounds of classical communication