title: All entangled pure states violate a single Bell's inequality.
abstract: 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 proved in its most general form from which it follows that for pure states Bell's nonlocality and quantum entanglement are equivalent.
authors.affiliation: Centre for Quantum Technologies, National University of Singapore, Singapore.
authors.forename: Sixia
authors.initials: S
authors.lastname: Yu
authors.forename: Qing
authors.initials: Q
authors.lastname: Chen
authors.forename: Chengjie
authors.initials: C
authors.lastname: Zhang
authors.forename: C H
authors.initials: CH
authors.lastname: Lai
authors.forename: C H
authors.initials: CH
authors.lastname: Oh