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 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.

7 pages 1 table and 1 appendix

References in corpus (2)

• Gisin's Theorem for Arbitrary Dimensional Multipartite States
• Gisin's theorem for two d-dimensional systems based on the Collins-Gisin-Linden-Masser-Popescu inequality

Cited by in corpus (8)

• All entangled states display some hidden nonlocality
• Decoherence Effects on the Non-locality of Symmetric States
• Nonlocality of $W$ and Dicke states subject to losses
• Tight upper bound for the maximal quantum value of the Svetlichny operators
• Bell inequalities for multipartite qubit quantum systems and their maximal violation
• Nonlocality and Entanglement for Symmetric States
• Nonlocality of three-qubit Greenberger-Horne-Zeilinger-symmetric states
• Hierarchy of multipartite nonlocality in the nonsignaling scenario