Multisetting Bell inequalities for N spin-1 systems avoiding the Kochen-Specker contradiction

@article{Dutta2012MultisettingBI,
  title={Multisetting Bell inequalities for N spin-1 systems avoiding the Kochen-Specker contradiction},
  author={Arijit Dutta and Marcin Wiesniak and Marek Żukowski},
  journal={Physical Review A},
  year={2012},
  volume={86},
  pages={032111}
}
Bell's theorem for systems more complicated than two qubits faces a hidden, as yet undiscussed, problem. One of the methods to derive Bell inequalities is to assume the existence of a joint probability distribution for measurement results for all settings in the given experiment. However, for spin-1 systems, one faces the problem that the eigenvalues of observables do not allow a consistent algebra if one allows all possible settings on each side (Bell's 1966 contradiction), or some specific… 
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