New Bell inequalities for three-qubit pure states

Abstract

We introduce a set of Bell inequalities for a three-qubit system. Each inequality within this set is violated by all generalized GHZ states. More entangled a generalized GHZ state is, more will be the violation. This establishes a relation between nonlocality and entanglement for this class of states. Certain inequalities within this set are violated by pure biseparable states. We also provide numerical evidence that at least one of these Bell inequalities is violated by a pure genuinely entangled state. These Bell inequalities can distinguish between separable, biseparable and genuinely entangled pure three-qubit states. We also generalize this set to n-qubit systems and may be suitable to characterize the entanglement of n-qubit pure states.

8 pages, 7 figures, published version

Cited by in corpus (10)

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• Resource state structure for controlled quantum key distribution
• Non-locality and entanglement in multi-qubit systems from a unified framework
• Mermin and Svetlichny inequalities for non-projective measurement observables
• Robust violation of a multipartite Bell inequality from the perspective of a single-system game
• Minimal scenario facet Bell inequalities for multi-qubit states
• Guaranteed emergence of genuine entanglement in 3-qubit evolving systems
• Interrelation of nonclassicality conditions through stabiliser group homomorphism
• Violation of Bell Monogamy Relations