Tripartite entanglement versus tripartite nonlocality in 3-qubit GHZ-class states

Details Tripartite entanglement versus tripartite nonlocality in 3-qubit GHZ-class states Tripartite entanglement versus tripartite nonlocality in 3-qubit GHZ-class states

2008-12-19

arxiv.org/abs/0812.3695v2

Physical Review Letters 102, 250404 (2009)

Physics

Quantum Physics

Minor revisions, published version

Scientific paper

10.1103/PhysRevLett.102.250404

We analyze the relationship between tripartite entanglement and genuine tripartite nonlocality for 3-qubit pure states in the GHZ class. We consider a family of states known as the generalized GHZ states and derive an analytical expression relating the 3-tangle, which quantifies tripartite entanglement, to the Svetlichny inequality, which is a Bell-type inequality that is violated only when all three qubits are nonlocally correlated. We show that states with 3-tangle less than 1/2 do not violate the Svetlichny inequality. On the other hand, a set of states known as the maximal slice states do violate the Svetlichny inequality, and exactly analogous to the two-qubit case, the amount of violation is directly related to the degree of tripartite entanglement. We discuss further interesting properties of the generalized GHZ and maximal slice states.

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