HIGHLIGHTS
SUMMARY
John Bell introduced in 1964 the inequality that is known today as a tool to test the predictions of quantum mechanics in contrast to those that one can obtain in any classical scenario involving local hidden variable (LHV) models. The authors address to what extent a typical two-qubit state described by a random density matrix violates (or not) the local realism via means of the deviation from the CHSH-Bell bound. Specifically, the authors studied the geometrical properties of the Hilbert space by showing that even if a given qubit-qubit state ρ drastically . . .
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