Phys. Rev. Lett. 95, 120405 (2005) [4 pages]Bell Inequalities for Graph StatesReceived 13 October 2004; published 14 September 2005 We investigate the nonlocal properties of graph states. To this aim, we derive a family of Bell inequalities which require three measurement settings for each party and are maximally violated by graph states. In turn, for each graph state there is an inequality maximally violated only by that state. We show that for certain types of graph states the violation of these inequalities increases exponentially with the number of qubits. We also discuss connections to other entanglement properties such as the positivity of the partial transpose or the geometric measure of entanglement. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.95.120405
DOI:
10.1103/PhysRevLett.95.120405
PACS:
03.65.Ud, 02.40.−k, 03.67.Lx, 03.67.Mn
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