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Yoni Alon edited Introduction and Theory.tex
almost 10 years ago
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\[ E(a,b)=\frac{N(a,b)+N(a_\perp,b_\perp)-N(a_\perp,b)-N(a,b_\perp)}{N(a,b)+N(a_\perp,b_\perp)+N(a_\perp,b)+N(a,b_\perp)} \]
where the perpendicular angles are rotated by $\frac{\pi}{2}$. Thus, only 16 separate measurements had to be taken for the $\psi_+$ and $\psi_-$ states. The angles were chosen such that the value of $S$ was
maximized. maximized to increase the likelihood of violating the CHSH-Bell Inequality. For
$\psi_+$, $\psi_+$ and $\psi_-$, the values of $(a,b,a^\prime,b^\prime) = (0,67.5,45,22.5)$, and
for $\psi_-$, $(-45,-22.5,0,22.5)$. $(-45,-22.5,0,22.5)$, respectively.