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arXiv · 1205.1179

All entangled pure states violate a single Bell's inequality

Sixia Yu·Qing Chen·Chengjie Zhang·C. H. Lai·C. H. Oh
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Abstract

We show that a single Bell's inequality with two dichotomic observables for each observer, which is originated 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.

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Sixia Yu, Qing Chen, Chengjie Zhang, C. H. Lai, C. H. Oh. 2012-09-20. All entangled pure states violate a single Bell's inequality. https://doi.org/10.1103/physrevlett.109.120402

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