The assumptions are:
- Alice and Bob have perfectly synchronized clocks
- Alice and Bob have successfully exchanged a pair of entangled photons
The idea is simply to have Alice and Bob perform the Quantum Eraser Experiment (doesn't need to be the delayed choice).
Alice and Bob agree on a specific time when Bob's photon will be between the "path marker" (which is usually just after the slits) and the detector.
If Alice acts collpasing the wave-function on her photon, the interference pattern will disappear. If not it won't.
Alice and Bob can be spatially separated...
What am I misunderstanding?
The only meaningful difference from this spatially separated quantum eraser experiment to one done on tabletop is that you won't be able to use a coincidence detector, but that is not impeditive to identifying the interference pattern, just will make errors more probable. Which we should be able to deal with a appropriate protocol...
There is a experimental paper with a small amount of citations pointing out to the breaking of complementarity in a very similar setup: http://www.pnas.org/content/early/2012/05/23/1201271109
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