How Does Detector Rotation Affect Spin Correlation in Bell's Test Experiments?

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Detector rotation in Bell's test experiments affects spin correlation by changing the measurement basis, which influences the probability of obtaining opposite spin results. When detectors are set at 0 degrees, one measures spin up and the other spin down, but rotating one detector to 45 degrees introduces a probability of 50% for measuring opposite spins. This correlation is derived from quantum mechanics, where the probability of measuring opposite spins at different angles is given by cos²(A-B). The discussion also touches on the implications of realism, suggesting that if particles had predetermined spins, the observed correlations would differ from experimental results. Understanding these correlations is crucial for interpreting the outcomes of Bell's tests and the nature of quantum entanglement.
  • #91
SeventhSigma said:
You can't control what spin a particle assumes afaik (edit: I have no idea if you actually can do this). It comes out either spin up or spin down with equal probability and you have no way of controlling this. You can control what kinds of spins are allowed to exit a detector, but this doesn't change the fact that the particle assumed that particular spin in the first place.

Even if you could change the spin by forcing it, you'd be breaking the entanglement anyway.

These types of experiments are often conducted with the spin controlled and the measuring devices rotated to see the effects, especially the effects when 2 matching particles are detected. See http://arxiv.org/PS_cache/quant-ph/pdf/0205/0205171v1.pdf" as an example of preparing entangled spin up particles (photons in this case).
 
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  • #92
edguy99 said:
These types of experiments are often conducted with the spin controlled and the measuring devices rotated to see the effects, especially the effects when 2 matching particles are detected. See http://arxiv.org/PS_cache/quant-ph/pdf/0205/0205171v1.pdf" as an example of preparing entangled spin up particles (photons in this case).

Maybe you can quote something. Because it doesn't say that.
 
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  • #93
DrChinese said:
Maybe you can quote something. Because it doesn't say that.

"To create the state | EPRi or something close to it, we adjust the parameters which determine the laser polarization. First we adjust l to equalize the coincidence counts N(0◦, 0◦) and N(90◦, 90◦). Next we set l by rotating the quartz plate about a vertical axis to maximize N(45◦, 45◦). When performing these optimizations, we typically collect a few hundred photons per point which requires an acquisition window of a few seconds."
 
  • #94
edguy99 said:
"To create the state | EPRi or something close to it, we adjust the parameters which determine the laser polarization. First we adjust l to equalize the coincidence counts N(0◦, 0◦) and N(90◦, 90◦). Next we set l by rotating the quartz plate about a vertical axis to maximize N(45◦, 45◦). When performing these optimizations, we typically collect a few hundred photons per point which requires an acquisition window of a few seconds."

Yes, an EPR state is entangled. Notice the discussion of coincidences?
 
  • #95
DrChinese said:
Yes, an EPR state is entangled. Notice the discussion of coincidences?

Yes, they have "fixed" the orientation of the photon stream, and are rotating the two measuring devices to see the effect on the number of coincident (entangled) hits. An entangled hit is essentially when they see both detectors go off at "almost exactly" the same time.
 
  • #96
That paragraph just talks about how they calibrated the equipment as far as I can tell -- it's not saying that they're somehow "fixing" the streams to produce certain types of spins that break the entanglements. They adjust the first parameter (the theta-l) so that N(0,0) and N(90,90) produce roughly the same output counts, and then they determine where the proper 45 degree mark is by going between those two thresholds (hence the "maximize N(45,45)" part).

Someone else can correct me if I'm wrong, here.

Nowhere in here is it implying that it's breaking entanglement by "fixing" the spins in any way. The conclusion of that paper is also consistent with what's been put forth in this thread (local realistic variables contradicted, Bell's Inequality violated, etc).
 
  • #97
edguy99 said:
Yes, they have "fixed" the orientation of the photon stream, and are rotating the two measuring devices to see the effect on the number of coincident (entangled) hits. An entangled hit is essentially when they see both detectors go off at "almost exactly" the same time.

Yes, and we are looking at the subset where Alice's side is all up, which is 50% of the total stream from the PDC crystal.

The point is that the stream going to Bob consists of ones in which Alice is up, and where Alice is down. You must coincidence match to find the desired subset of Alice=up.
 
  • #98
edguy99 said:
The sequence of post is maybe a little unclear. We start with our standard electron/positron setup and measure 100% up at one end (the electron) and 100% down at the other end (the positron).

We then turn the positron end by 120 degrees and restart the measurement.

Without touching the electron end, we still see 100% up at the electron end, but we now see 75% up at the positron end.

We then start the experiment at the electron end: The first set of measurements with the 2 detectors matched will result in 75% up at the positron end and 75% down at the electron end.

OK, I think I see what you are wanting to do. Let's just refer to this as the subset so it is clear. Then everything you are saying is fine. We will simply ignore the other subgroup for our discussion purposes, knowing that the "true" universe does not have this attribute.
 
  • #99
SeventhSigma said:
That paragraph just talks about how they calibrated the equipment as far as I can tell -- it's not saying that they're somehow "fixing" the streams to produce certain types of spins that break the entanglements. They adjust the first parameter (the theta-l) so that N(0,0) and N(90,90) produce roughly the same output counts, and then they determine where the proper 45 degree mark is by going between those two thresholds (hence the "maximize N(45,45)" part).

Someone else can correct me if I'm wrong, here.

Nowhere in here is it implying that it's breaking entanglement by "fixing" the spins in any way. The conclusion of that paper is also consistent with what's been put forth in this thread (local realistic variables contradicted, Bell's Inequality violated, etc).

If the photon is modeled as http://en.wikipedia.org/wiki/Polarization_(waves)" , he is setting the properties of the photons to keep the photon properties consistent throughout the experiment. This allows him to continue the experiment where the only change being made is the rotation of the measuring device. My use of the word "fix" means the properties of the particle stream are known and unchanging.
 
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  • #100
DrChinese said:
OK, I think I see what you are wanting to do. Let's just refer to this as the subset so it is clear. Then everything you are saying is fine. We will simply ignore the other subgroup for our discussion purposes, knowing that the "true" universe does not have this attribute.

I am not sure I understand if you are agreeing or not (is there a 50% chance of us agreeing?). What probabilities would you assign to the OP question?
 

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