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All Entangled Pure States Violate a Single Bell’s Inequality

All Entangled Pure States Violate a Single Bell’s Inequality

We show that a single Bell's inequality with two dichotomic observables for each observer, which originates from Hardy's nonlocality proof without inequalities, is violated by all entangled pure states of a given number of particles, each of which may have a different number of energy levels. Thus Gisin's theorem is …