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For a class of mixed two-qubit states we show that it is not possible to discriminate between states violating or non-violating Bell-CHSH inequalities, knowing only their entanglement and mixedness. For a large set of possible values of these quantities, we construct pairs of states with the same entanglement and mixedness such that one state is violating but the other is non-violating Bell-CHSH inequality.
We introduce the measure of entanglement of continuous variable quantum systems, expressed in terms of the cross-covariances of the quadrature components or the annihilation/creation operators. Considering the examples of finite and infinite superpositions of coherent and Fock states, we compare the new parameter with the conventional entropic measures of entanglement and with the ''linear entropy...
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