Do I Misunderstand The Double Slit Experiment

[gumpzilla]

Well, if individual photons are coming through the slits, if they make it to the camera, that means they scattered off something and didn't get to the screen. So to be pedantic, they shouldn't tell you anything about the interference pattern, meaning you'll see interference behaviors.

There are ways in which you can do experiments similar to your case 4. They tend to go by the name "delayed choice quantum eraser," and it's been a while since I've read about them, so I can't say offhand if your impressions are exactly correct. It's a pretty subtle issue, obviously.

EDIT: From the Wikipedia on delayed choice quantum eraser,

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In the double slit experiment, a photon passes through one of two slits in a double slit apparatus, and then registers on a detector. The detector shows where the photon hit it, like an image projected on a screen. If many photons individually pass through the double slit apparatus, and nothing observes which slit a given photon travels through, an interference pattern emerges on the detector. The interference pattern indicates that the light beam is in fact made up of waves. However, if someone observes which of the two slits each photon passes through, a different result will be obtained. In this case, each photon hits the detector after going through only one slit and a single concentration of hits in the middle of the detection field. This result is consistent with light behaving as individual particles, like tiny bullets. It is counterintuitive that a different outcome results based on whether or not the photon is observed after it goes through the slit but before it hits the detector.

In a quantum eraser experiment, one arranges to detect which one of the slits the photon passes through, but also construct the experiment in such a way that this information can be "erased" after the fact. It turns out that if one observes which slit the photon passes through, the "no interference" or particle behavior will result, which is what quantum mechanics predicts, but if the quantum information is "erased" regarding which slit the photon passed through, a wavelike interference pattern can be observed.

However, Kim, et al. have shown that it is possible to delay the choice to erase the quantum information until after the photon has actually hit the target. But, again, if the information is "erased," an interference pattern can be recovered in a certain subset of the photons which reach the detector, even if the information is erased after the photons have hit the detector

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