Deterministic correlation transfere in N-qubit systems

We discuss the efficiency of correlation transfer in $N$-qubit systems during local deterministic measurements, which ensure the same total amount of multipartite correlations in the outcome states. Employing different correlation measures (discrete Rényi entropy, reduced purities), we analyze the stability of multipartite entanglement of pure multipartite states under the protocol of measurement-induced optimal correlation transfer. The asymptotic limit $N\gg 1$ is examined.