Is the range over which an entanglement experiment of the type of Aspect in the 1980s or Delft in 2015-2016 limited by dp*dq = h? That is, if there is a spread in the momentum of the beam used in the experiment of amount dp, will that limit the range of a successful entanglement experiment to dq = h/dp? I have reason to believe that this may be so.
Consider:-
Question submitted by Stuart Boehmer 10.25.2017.
I advise you to search for the experiments of the team of A. Zeilinger - see articles in the arXiv quant-ph. There have to be experiments with distances between the Earth and cosmic stations. Your relation dp*dq = h doesn't have much to do with the distances over which entanglements hold, and the statement
"any non-locality seems to remain confined to the rectangles of size h"
is not correct. If you prepared an entanglement of two particles 1 and 2, like
Ψ = ψ1,a ψ2,c + ψ1,b ψ2,d
where a, b, c, d, are flight directions, then no matter how long are the distances between stations, if you found particle 1 flying along the direction a (b) you will find particle 2 flying along the direction c (d). The only problem is the dispersion, most important the transversal one, i.e. the wave-packets increase in width as they evolve in time, and may overlap. So, the accuracy of the entanglement is limited by the condition Δx < Vxt, where Δx is the transversal width at the time t, and Vx is the transversal velocity.
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