Gisins theorem for two d-dimensional systems based on the Collins-Gisin-Linden-Masser-Popescu inequality

In this Rapid Communication, we show analytically that all pure entangled states of two d-dimensional systems (qudits) violate the Collins-Gisin-Linden-Masser-Popoescu (CGLMP) inequality. Thus one has the Gisins theorem for two qudits.