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Tripartite Entanglement versus Tripartite Nonlocality in Three-Qubit Greenberger-Horne-Zeilinger-Class States

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Title Tripartite Entanglement versus Tripartite Nonlocality in Three-Qubit Greenberger-Horne-Zeilinger-Class States
 
Creator GHOSE, S
SINCLAIR, N
DEBNATH, S
RUNGTA, P
STOCK, R
 
Subject quantum nonlocality
inequality
qubits
 
Description We analyze the relationship between tripartite entanglement and genuine tripartite nonlocality for three-qubit pure states in the Greenberger-Horne-Zeilinger class. We consider a family of states known as the generalized Greenberger-Horne-Zeilinger states and derive an analytical expression relating the three-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 three-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 does 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 Greenberger-Horne-Zeilinger and maximal slice states.
 
Publisher AMER PHYSICAL SOC
 
Date 2011-07-17T00:59:58Z
2011-12-26T12:50:02Z
2011-12-27T05:35:58Z
2011-07-17T00:59:58Z
2011-12-26T12:50:02Z
2011-12-27T05:35:58Z
2009
 
Type Article
 
Identifier PHYSICAL REVIEW LETTERS, 102(25), -
0031-9007
http://dx.doi.org/10.1103/PhysRevLett.102.250404
http://dspace.library.iitb.ac.in/xmlui/handle/10054/4576
http://hdl.handle.net/10054/4576
 
Language en