Nonlocality of cluster states of qubits

@article{Scarani2005NonlocalityOC,
  title={Nonlocality of cluster states of qubits},
  author={Valerio Scarani and Antonio Ac{\'i}n and Emmanuel Schenck and Markus Aspelmeyer},
  journal={Physical Review A},
  year={2005},
  volume={71},
  pages={042325}
}
We investigate cluster states of qubits with respect to their nonlocal properties. We demonstrate that a Greenberger-Horne-Zeilinger (GHZ) argument holds for any cluster state: more precisely, it holds for any partial, thence mixed, state of a small number of connected qubits (five, in the case of one-dimensional lattices). In addition, we derive a Bell inequality that is maximally violated by the four-qubit cluster state and is not violated by the four-qubit GHZ state. 
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References

SHOWING 1-2 OF 2 REFERENCES
Quantum Computation and Quantum Information
Preface Acknowledgement Nomenclature and notation Part I. Fundamental Concepts: 1. Introduction and overview 2. Introduction to quantum mechanics 3. Introduction to computer science Part II. Quantum
andZ; so the result holds for general operatorsAk, Bk, etc., as it should for a Bell-type inequality
  • Phys. Rev. Lett.93,
  • 2004