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Beating the Clauser-Horne-Shimony-Holt and the Svetlichny games with optimal states

Beating the Clauser-Horne-Shimony-Holt and the Svetlichny games with optimal states

We study the relation between the maximal violation of Svetlichny's inequality and the mixedness of quantum states and obtain the optimal state (i.e., maximally nonlocal mixed states, or MNMS, for each value of linear entropy) to beat the Clauser-Horne-Shimony-Holt and the Svetlichny games. For the two-qubit and three-qubit MNMS, we …