A Does there exist a super-quantum correlation in mixed-state formalism

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Suppose a two point covariance : ##C(a,b)=\langle A\otimes B\rangle## with the eigenvalues of A and B in {-1,1}.

Does there exist a mixed state such that ##CHSH=C(a,b)-C(a,b')+C(a',b)+C(a',b')>2\sqrt{2}## ?
 

A. Neumaier

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Any tiny perturbation of the density matrix of a pure state with this property should do....
 
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So violation of Tsirelson's bound were possible ?
 

A. Neumaier

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So violation of Tsirelson's bound were possible
Of course. If one uses in the standard experiments imperfect polarizers one gets preparations in mixed states; these effects are accounted for in efficiency analyses of entanglement experiments.
 

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