How Does the Inverse Bell Theorem Challenge Quantum Measurement Predictions?

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SUMMARY

The discussion centers on the implications of the Inverse Bell Theorem in quantum mechanics, specifically regarding the measurement operator $$(A+A')\otimes (B-B')$$. Quantum mechanics predicts measurement results within the range of [-2;2], while classical mechanics suggests a broader range of [-4;4]. This discrepancy highlights the complexity of transitioning from quantum measurement operators to classical results, indicating that the relationship between measurement outcomes and quantum states is not straightforward. The conversation also touches on the limitations of classical results in the context of the CHSH inequality.

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jk22
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if we consider a separable measurement operator $$(A+A')\otimes (B-B')$$ then quantum mechanics predict the result is in [-2;2]

Whereas going to classical results would give in [-4;4]

This could indicate that going from measurement operator in the quantum realm to measurement results is maybe more complicated than just retranscripting the terms ?
 
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jk22, your post is not very coherent
jk22 said:
if we consider a separable measurement operator $$(A+A')\otimes (B-B')$$
Measurement operator represents measurements and in Bell test two measurement angles are always considered independent.
But measured pair of particles can be in separable or entangled state.

jk22 said:
then quantum mechanics predict the result is in [-2;2]

Whereas going to classical results would give in [-4;4]
Classical results can't give such values for CHSH inequality. Correlation values in inequality are not just arbitrary numbers but maximum numbers you can get when using shared initial variable for particle pair.
 
Well this operator is not Chsh but it shows a discrepancy between eigenvalues and the measurement results since the value of each operator A,A',B,B' is in {-1;1} whereas if i consider the operators like in a bell test they cannot reach such eigenvalues but not in general this is true my post is not very precise.
 
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