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Yoni Alon edited Procedure and Results.tex
almost 10 years ago
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The visibility was $V_{\psi_+}=0.910 \pm 0.015$ and $V_{\psi_-}=0.889 \pm 0.016$. The error was propogated using gaussian propagation, whith the error for each count rate following a poisson distribution. A level this high indicates a high degree of entanglement, and so it was appropriate to continue with the experiment.
Once this was done, the coincidence rate was taken for the 16 different required measurements by rotating the polarizing filters. The experimental results are shown in \ref{fig:Table
1} 1}.
The error for $E(a,b)$ was calculated through standard error propogation and by using $\delta C(a,b)=\sqrt{C(a,b)}$, which is
\[\Delta E(a,b) = 2\sqrt{\frac{(N(a,b)+N(a_\perp,b_\perp))(N(a_\perp,b)+N(a,b_\perp))}{(N(a,b)+N(a_\perp,b_\perp)+N(a_\perp,b)+N(a,b_\perp))^3}} \]
\[ \delta N(a,b)=\sqrt{N(a,b)} \]
\[\Delta E(a,b) = 2\sqrt{\frac{(N(a,b)+N(a_\perp,b_\perp))(N(a_\perp,b)+N(a,b_\perp))}{(N(a,b)+N(a_\perp,b_\perp)+N(a_\perp,b)+N(a,b_\perp))^3}} \] The error for $S$ was propogated using the same standard method. The errors for both $\psi_+$ and $\psi_-$ are very small,