2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/208245Recently, [{arXiv:0810.3134}] is accepted and published. We show that any $N$-qubit state which is diagonal in the Greenberger-Horne-Zeilinger basis is full $N$-qubit entangled state if and only if no partial transpose of the multiqubit state is positive with respect to any partition.Journal of the Korean Physical Society, (2008), (accepted for publication)Quantum PhysicsNecessary and sufficient condition for Greenberger-Horne-Zeilinger diagonal states to be full $N$-partite entangledtext