Entanglement versus bell violations and their behavior under local filtering operations.

@article{Verstraete2002EntanglementVB,
  title={Entanglement versus bell violations and their behavior under local filtering operations.},
  author={F. Verstraete and M. Wolf},
  journal={Physical review letters},
  year={2002},
  volume={89 17},
  pages={
          170401
        }
}
We discuss the relations between the violation of the Clauser-Horne-Shimony-Holt (CHSH) Bell inequality for systems of two qubits on the one side and entanglement of formation, local filtering operations, and the entropy and purity on the other. We calculate the extremal Bell violations for a given amount of entanglement of formation and characterize the respective states, which turn out to have extremal properties also with respect to the entropy, purity, and several entanglement monotones… Expand
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References

SHOWING 1-2 OF 2 REFERENCES
Quantum Information: An Introduction to Basic Theoretical Concepts and Experiments
From the foundations of quantum theory to quantum technology - G. Alber quantum information theory, an invitation - R. Werner quantum communication - H. Weinfurter and A. Zeilinger quantumExpand
Matrix Analysis