IQIS Lecture 5.9 — Device-independent tests and Bell inequalities

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  1. Artur Ekert
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Thank you; this is a clear explanation (at least given all I've reviewed over the past few days), and 5.10 is required additional content :) But, in the first case, the hidden variable, that is shared is spin axis (a unit direction normal), and this information is shared between Alice and Bob exactly - via transmission of a photon usually - or a previously entangled q-bit.... if they had some additional code they could also enter on the box (maybe a time step/sync that makes sure they choose the right value?) that's the same as an entangled q-bit.
The problem with Bell's math and CHSH is that they project that the only information that's internal is a +1/-1, instead of a function of a value that is relative to the detector.
I don't know if I can paste links in messages; so I'll leave it in a comment, but I have this small JS program that generates a random spin axis, and then does a dot product of that with a detector alignment vector. In the general case I'm within 5-10% of the QM predicted result (cos(angle between A and B)) (or A dot B), and certainly > 3 CHSH. (I only get to 2*1.666 instead of 2*1.7071...).

zdayz