Two-setting Bell inequalities for graph states (original) (raw)
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Abstract
We present Bell inequalities for graph states with a high violation of local realism. In particular, we show that there is a basic Bell inequality for every nontrivial graph state which is violated by the state at least by a factor of 2. This inequality needs the measurement of, at most, two operators for each qubit and involves only some of the qubits. We also show that for some families of graph states composite Bell inequalities can be constructed such that the violation of local realism increases exponentially with the number of qubits. We prove that some of our inequalities are facets of the convex polytope containing the many-body correlations consistent with local hidden variable models. Our Bell inequalities are built from stabilizing operators of graph states.
Publication:
Physical Review A
Pub Date:
February 2006
DOI:
10.48550/arXiv.quant-ph/0510007
arXiv:
Bibcode:
Keywords:
- 03.65.Ud;
- 03.67.Lx;
- Entanglement and quantum nonlocality;
- Quantum computation;
- Quantum Physics
E-Print:
8 pages including 2 figures, revtex4