unusualname said:
If there was no stray light and 100% of the photons passed through the apparatus to the detectors you wouldn't need coincidence counting (duh!)
Sorry, but this is plain wrong. You need spatially coherent light to form an interference pattern. The light in one arm of the entangled beams is not coherent enough for that. Even without stray light and every photon detected at the double slit side, you would NOT see an interference pattern at the double slit side alone. If you could, you would be able to send ftl information using a quantum eraser.
If you do not believe me, read Zeilinger's famous review article:
http://www.hep.yorku.ca/menary/courses/phys2040/misc/foundations.pdf"
He also states that the pattern formed behind the double slit by one arm of the entangled beams alone will never show any interference at the beginning of section III.
If you have access to a BBO crystal, just try it out. If you increase the distance between the BBO and the double slit, you will see an interference pattern without the need to perform coincidence counting (well, if you do not have too much stray light of course) and you will not see an interference pattern in the coincidence counting data. If you decrease the distance, you will notice that the direct interference pattern vanishes and the coincidence counting pattern appears. This has also been calculated and experimentally tested in the PHD thesis of Birgit Dopfer, a former PHD student of Zeilinger. Unfortunately the thesis is in German only and has vanished from the web. If anybody still has a copy, please tell me.
unusualname said:
In practice some of the photons won't pass through the slits/polarisers no matter how perfect your apparatus, so you need coincidence counters in any case.
Yes, but this is not the reason why you need coincidence counting.
unusualname said:
Well you've not understood the experiment or its explanation, I don't even understand your point, coincidence counts means both photons were detected, that's all, why would you want to record a non-coincident blip?
Now you confuse me. It was your point to record a non-coincident blip in an earlier post:
unusualname said:
The interference is created by single photons going through a double slit, the entangled partners are used to obtain which-way information only.
Single photon interference patterns mean that you do not need coincidence counting. Two-photon interferences like in the Hong-Ou-Mandel effect always need coincidence counting. Saying the interference is created by single photons means that coincidence counting is unnecessary or used only to reduce noise. This is NOT the case here.
edit: it took me a while to find some other experimental data, but you can also have a look at post 20 in this thread:
https://www.physicsforums.com/showthread.php?t=186341&page=2"
and the paper attached there for clear experimental data that there is no interference pattern without coincidence counting.