Revealing hidden nonlocality and preparation contextuality for an arbitrary input Bell inequality

In recent years, the activation of hidden nonlocality for a mixed entangled state, admitting a local model, has gained considerable interest. In this paper, we study the activation of hidden nonlocality and preparation contextuality for a class of mixed entangled states, using local filtering operations. For our demonstration, we consider the two-party (Alice and Bob) one-way communication game known as parity oblivious random access code (PORAC). The quantum success probability of such n-bit PORAC solely depends on a Bell functional involving 2^(n-1) and n dichotomic measurement settings for Alice and Bob, respectively. Such a Bell functional has two classical bounds, the local and the preparation non-contextual. We show that using local filtering operations on local mixed entangled state, the nonlocality can be revealed for any non-zero value of the mixedness parameter of the entangled state if n ≥ 6. Further, we show that the preparation contextuality, which is a comparatively weaker quantum correlation than nonlocality, can be revealed for any non-zero value of the mixedness parameter of the mixed entangled state if n ≥ 4.