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No, you don't. In the entanglement-swapping experiment by Zeilinger et al. the entanglement of 0&3 is only established if you choose a subensemble based on a measurement on 1&2. You can do this after all experiments are done using the meausurement protocols of the various local measurements, and there are only local measurements in this experiment. At least there's nothing in this experiment which hints at any violation of QED, which is local. There's no need to assume any action at a distance at all. The correlations due to entanglement are there due to the preparation procedure. Of course 0&3 have never been in local contact and they are entangled if you choose the wanted subensemble based on measurments of 1&2, but this doesn't imply any non-local interactions.PeterDonis said:Ok, so this would be a "yes" answer to my question. In that case, yes, you're right, I need to re-evaluate my understanding. I'll take more time to read the references you provided when I can (and probably follow up with further papers referenced in those).
Would this mean the photons aren't entangled? Or just that nothing comes out at all?