This is the point I (and Zeilinger also) dispute. You assume the only reason for doing coincidence counting is assuring that which-way info gets dumped. I disagree. Let me introduce a simple experiment which points out the difference:
Imagine an ideal experiment. No influence of stray light, ideal photodetectors and such stuff. You again have a double-slit side and the entangled partner on the other which-way side. Now you directly dump the entangled which-way side (in a manner that does not give any which-way information) and are not interested in the exact detections. The assurance that which-way information is lost is enough. If the only sense of coincidence counting was assuring that stray light and noise is reduced and to assure that which-way information is indeed destroyed, this would mean that you should now see an interference pattern in all detections at the detections at the double slit side alone. I say this is not the case.
How do you "directly dump" the entangled which-way side? When the entangled pair leaves the source they have path information (which is equivalent to which-way information) due to momentum conservation, you must erase this information before either photon can show interference through a double-slit. If you "just dump" the which-way side by letting it hit a screen or ignoring it and letting it shoot out into empty space you will not get an interference pattern with the other photon.
You must
carefully ensure path/which-way information is erased by passing the photon through some erasure mechanism, and you must check it passed through this mechanism by using a coincidence counter to match it to a partner.
You can't just talk about "dumping" the which-way side. What you really mean is
if we can be sure 100% of the which way side is going through the erasure mechanism imagine we dump them afterwards (ie don't bother detecting them afterwards).
But since this 100% ideal situation can't be realized we have to employ a coincidence counter.
I'll skip the rest of the suggested experimental details since this makes it invalid.
No, that is not my point. Entangling neutrons or buckyballs should be pretty complicated. The main point of my argument is that the spatial coherence of the subset chosen by coincidence counting is significantly higher than the spatial coherence of the whole set of sdetected photons in one arm without doing coincidence counting and that it is this increase which causes the interference pattern to appear. This is, however, much easier to see in the Kim et al. quantum eraser paper.
I don't understand this, it sounds like you're suggesting that if there is no coincidence count some weird type of photon pair was emitted from the source with properties not consistent with the photons creating the interference pattern (different wavelength/frequencies, wrong directions??)
You will of course have to wait until you also have the data from the which-way side.
Of course you wouldn't, are you crazy! Several years later when you get the data back from alpha centuri you can do a retrospective coincidence match based on timings of detection at alpha-centuri and adding the appropriately large offset (assuming the photons traveled undisturbed and at uniform speed to alpha-centuri)
The floppy disk data isn't going to magically change when the photons hit the detectors at alpha centuri.!
The point is, that the photons traveling to alpha centuri have had their which-way information erased, so it doesn't really matter what happens to them after this, but (to repeat myself for the umpteenth time) we'd like to know which photons these had as entangled partners to extract our interference pattern from the floppy disk data (which will contain a lot of detections for photons whose entangled partner didn't make it through the erasure mechanism)Once the which-way information is erased, the photon hitting the double-slit can split into two wavelike coherent paths and interfere with itself.
The point of suggesting moving the which-way
detector to alpha-centuri was to lead on to something much more non-trivial in these experiments which hasn't so far been addressed (afaik)
What if you move the
erasure mechanism on the which-way path to alpha centuri?
Copenhaginists will say you still get an interference pattern (yes, with coincidence matching, sigh), but I wonder how big the
delay in these delayed choice experiments can b?. Increasing the erasure delay even beyond a few seconds is not acheivable with current technology.
But this would get to the crux of just
how non-local is the wave-function? (it breaks einstein locality for sure), and would (in theory) allow a refutaion of the copenhagen interpretation if favor of some non-local pilot-wave type mechanism (where the pilot wave has some bounded type of locality based on communication in higher dimensions or via some other exotic topology or via undetected tachyons etc etc)
This last part sounds speculative, of course, but the reason why "no one understands quantum mechanics" is because no one knows how the wave function enables non-local physics, and we can only speculate.The moral of this debate is that they really should teach pilot-wave interpretations in mainstream physics courses, even if the mechanism turns out to be nonsense in reality, it's hardly worse than the CI and it does enable easy analysis of delayed choice quantum experiments.
