Gill wrote:Actually the Delft statistics are best “explained” by a roughly 80-20 mixture of the singlet state with the completely random state. It’s better than a 2/3 - 1/3 mixture. At 2/3 - 1/3 the state would have been separable (can be written as a mixture of product states, no Bell violation).
That is interesting,
I dug out my June 2020 VB program to simulate Malus's Law results particle-at-a-time.
Malus's Law depends on polarisation and not entanglement. So Malus's Law works on a statistical basis and approaches the trig formula result best for large N.
I have run it (only once) on 100000 particles and obtained:
N= 100000; intensity passing filter = 0.85368; equivalent Bell correlation = 0.70735; equivalent S statistic from CHSH =2.82944
I have today run it (once) for comparison with 2015 real experiment on
N= 250; intensity passing filter = 0.82; equivalent Bell correlation = 0.64; equivalent S statistic from CHSH =2.56
I have also run it (once) on
N= 25; intensity passing filter = 0.92; equivalent Bell correlation = 0.84; equivalent S statistic from CHSH =3.36
I cannot exactly remember the 2015 outcome but I think it was about S = 2.4. If so, that is not too different from my 2.56 result.
I have made a few more runs for N =250 pairs:
S = 2.82, 2.88, 2.62, 2.72, 2.66, 2.43, 2.91
I think these are the sorts of results my retro method would give for Bell experiments with only 250 pairs.