2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/92222This paper constructs a LOCC protocol that achieves the global optimality in conclusive discrimination of any two states with arbitrary a priori probability. This can be interpreted that there is no ``non-locality'' in the conclusive discrimination of two multipartite states.9 pages, RevTeX, no figure. Comments, criticisms and suggestions are welcomeQuantum Physicstext