2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/217126We present a family of 3--qubit states to which any arbitrary state can be depolarized. We fully classify those states with respect to their separability and distillability properties. This provides a sufficient condition for nonseparability and distillability for arbitrary states. We generalize our results to $N$--particle states.replaced with published version (Phys.Rev.Lett.), in parts rewritten and clarifiedQuantum Physicstext