How is the QM prediction derived for Bell's tests?

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SUMMARY

The quantum mechanics (QM) prediction for Bell's tests is derived from the cosine curve, which is fundamentally linked to the principles of entanglement and measurement in quantum physics. The cosine factors emerge when transitioning to a rotated basis, as detailed in the referenced PDF document. While Malus's law is not directly related to the cosine curve, there are indirect connections that can be explored through the mathematical framework of quantum mechanics. The derivation involves examining specific equations related to entangled photon states.

PREREQUISITES
  • Understanding of quantum mechanics principles, particularly entanglement
  • Familiarity with Bell's theorem and its implications
  • Knowledge of Malus's law in the context of polarization
  • Basic mathematical skills to interpret cosine functions and rotated bases
NEXT STEPS
  • Study the derivation of Bell's inequalities and their experimental validation
  • Examine the mathematical framework of quantum entanglement
  • Learn about the implications of Malus's law in quantum optics
  • Review the provided PDF document for detailed examples of cosine factors in quantum measurements
USEFUL FOR

Physicists, quantum mechanics students, and researchers interested in the foundations of quantum theory and the implications of Bell's tests on our understanding of reality.

San K
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Question 1: how is the QM prediction (i.e. cosine curve, shown below) derived for Bell's tests? in layman' termss

Question 2: while Malus's law, some physicists say, is not related to this cosine curve.
Is there an indirect/lengthy way to connect the two?
http://upload.wikimedia.org/wikipedia/commons/7/77/StraightLines.svg
 
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