Quantum nonlocality of generic family of four-qubit entangled pure states

We directly introduce a Bell-type inequality for four-qubit systems. Using the inequality we investigate quantum nonlocality of a generic family of states |G_abcd> Phys. Rev. A 65 052112 (2002) and several canonical four-qubit entangled states. It has been demonstrated that the inequality is maximally violated by the so called “four-qubit the maximally entangled state |G_m>” and it is also violated by four-qubit W state and a special family of states |G_ab00>. Moreover, a useful entanglement-nonlocality relationship for the family of states |G_ab00> is derived. Finally, we present a scheme of preparation of the state |G_m ightangle with linear optics and cross-Kerr nonlinearities.