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Yoni Alon edited Introduction and Theory.tex
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\section{Introduction and Theory}
\par In their influential paper \cite{Einstein_1935}, Einstein, Podolsky, and Rosen (EPR) explored an ostensible paradox that arises from quantum mechanics. They concluded that quantum mechanics cannot be a complete theory, as it does not allow two non commuting operators and their physical quantities to have simultanous realities. Additionally, they rejected the possiblility of entanglement as described by quantum mechanics as being a realistic physical phenomena, and that though the physical prediction was correct, it could not be explained solely with
quantumechanical quantum mechanical theories.
\par However, as Bell demonstrated, it is possible to meas
\[ E(a,b)=\frac{N(a,b)+N(a_\perp,b_\perp)-N(a_\perp,b)-N(a,b_\perp)}{N(a,b)+N(a_\perp,b_\perp)+N(a_\perp,b)+N(a,b_\perp)} \]