Bell Inequalities for Graph States

Details Bell Inequalities for Graph States Bell Inequalities for Graph States

2004-10-07

arxiv.org/abs/quant-ph/0410059v2

Phys. Rev. Lett. 95, 120405 (2005)

Physics

Quantum Physics

4 pages, 1 figure, v2: presentation improved

Scientific paper

10.1103/PhysRevLett.95.120405

We investigate the non-local 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.

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