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It is well known that all pure entangled bipartite states violate Bell inequalities. When one extends Bell inequalities to multipartite two dimensional states using either the Mermin inequalities or Werner-Wolf-Żukowski-Brukner inequalities, one finds that it is no longer true that all entangled pure states violate these inequalities. We show that it is possible to formulate a set of Bell inequalities for 3-qubit system in such a way that all entangled tripartite states violate it.
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