Local deterministic model of singlet state correlations

[yoda jedi]

Phys. Rev. Lett. 105, 250404 (2010)

Local deterministic model of singlet state correlations.

The derivation of Bell inequalities requires an assumption of measurement independence, related to the amount of free will experimenters have in choosing measurement settings. Violation of these inequalities by singlet state correlations, as has been experimentally observed, brings this assumption into question. A simple measure of the degree of measurement independence is defined for correlation models, and it is shown that all spin correlations of a singlet state can be modeled via giving up a fraction of just 14% of measurement independence. The underlying model is deterministic and no-signalling. It may thus be favourably compared with other underlying models of the singlet state, which require maximum indeterminism or maximum signalling. A local deterministic model is also given that achieves the maximum possible violation of the well known Bell-CHSH inequality, at a cost of only 1/3 of measurement independence.

 

[eljose79]

Thank you for sharing this interesting study on singlet state correlations. The observation of singlet state correlations violating Bell inequalities raises important questions about the assumptions underlying these inequalities. Your proposed measure of measurement independence provides a valuable tool for evaluating correlation models and their underlying assumptions.

I am particularly intrigued by the fact that your deterministic model only requires a fraction of 14% of measurement independence to reproduce all spin correlations of a singlet state. This suggests that our understanding of measurement independence may need to be re-evaluated and redefined in light of these findings.

Furthermore, the fact that your model achieves maximum violation of the Bell-CHSH inequality with only a 1/3 cost of measurement independence is remarkable. This highlights the potential for further investigation and exploration of local deterministic models in understanding singlet state correlations.

Overall, your research adds valuable insights into our understanding of singlet state correlations and the underlying assumptions of Bell inequalities. I look forward to seeing further developments in this area and the potential implications for our understanding of quantum mechanics. Thank you for sharing your work with the scientific community.