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Entanglement is necessary but not sufficient to demonstrate nonlocality asthere exist local entangled states which do not violate any Bell inequality. Inrecent years, the activation of nonlocality (known as hidden nonlocality) byusing local filtering operations has gained considerable interest. In theoriginal proposal of Popescu [Phys. Rev. Lett. 74, 2619 (1995)] the hiddennonlocality was demonstrated for the Werner class of states in $d \geq 5$. Inthis paper, we demonstrate the hidden nonlocality for a class of mixedentangled states (convex mixture of a pure state and color noise) in anarbitrary $d$-dimensional system using suitable local filtering operations. Forour demonstration, we consider the quantum violation ofCollins-Linden-Gisin-Masser-Popescu (CGLMP) inequality which has hitherto notbeen considered for this purpose. We show that when the pure state in theaforementioned mixed entangled state is a maximally entangled state, the rangeof the mixing parameter for revealing hidden nonlocality increases withincreasing the dimension of the system. Importantly, we find that for $d \geq8$, hidden non-locality can be revealed for the whole range of mixingparameter. Further, by considering another pure state, the maximallyCGLMP-violating state, we demonstrate the activation of nonlocality by usingthe same local filtering operation.

Activation of hidden nonlocality using local filtering operations based on CGLMP inequality