2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/90028We show that Einstein--Podolsky--Rosen--Bohm (EPR) and Greenberger--Horne--Zeilinger--Mermin (GHZ) states can not generate, through local manipulation and in the asymptotic limit, all forms of three--partite pure--state entanglement in a reversible way. The techniques that we use suggest that there may be a connection between this result and the irreversibility that occurs in the asymptotic preparation and distillation of bipartite mixed states.5 pages, REVTEX. The result is extended to any purification of a edge PPT bound entangled state. Some references addedQuantum Physicstext