For bipartite systems of local dimensions n and m, separable, PPT, and LOCC measurements all have the same optimal data-hiding ratio min(n,m), with explicit finite-round LOCC protocols.
Moments and cumulants of polynomial random variables on unitary groups, the Itzykson--Zuber integral, and free probability
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On Optimal Quantum Data Hiding and Maximal Separable Ball
For bipartite systems of local dimensions n and m, separable, PPT, and LOCC measurements all have the same optimal data-hiding ratio min(n,m), with explicit finite-round LOCC protocols.