Tripartite entanglement versus tripartite nonlocality in 3-qubit GHZ-class states
Abstract
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.
Keywords
Cite
@article{arxiv.0812.3695,
title = {Tripartite entanglement versus tripartite nonlocality in 3-qubit GHZ-class states},
author = {S. Ghose and N. Sinclair and S. Debnath and P. Rungta and R. Stock},
journal= {arXiv preprint arXiv:0812.3695},
year = {2009}
}
Comments
Minor revisions, published version