From what I understand about the delayed choice quantum eraser is that (per the diagram below), an interference pattern will be seen on D0 if a photon hits the last detectors D1 and D2 where they are scattered by a beam splitter. This observation occurs even if the photon hits the last detectors (D1 and D2) after the other photon hits the interference screen (D0).
From what I can gather here, this means the result of D0 is influenced by D1 and D2 even if D1 and D2 occur after D0.
I can imagine a scenario where D1 and D2 are a large distance away from the pump (maybe 10 light minutes away). If I for whatever reason decide not to put a beam splitter between the detectors, D0 will not show an interference pattern. If this is the case, this means D0 will show the result of whether a beam splitter was placed at D1 and D2 before the photon even hits D1 and D2 (instantaneously).
I could use this to communicate astronomical distances in full duplex by making the decision to put a beam splitter between the detectors as a means to send binary information (interference pattern meaning 0 meaning beam splitter and vice versa). If another person had the same set up but in reverse, they could effectively send information to me instantaneously. If the beam splitter could be toggled on and off very quickly, you could send a stream of video and have a zoom call with someone on Mars.
Furthermore, you could use the mechanism to search for intelligent life anywhere in the universe. All you would do is point it at space and wait for an interference pattern to occur (meaning something was intelligent enough to put your photon stream through a beam splitter). And you would know this information instantaneously, whether that photon would take billions of years to reach its destination, possibly even before that life form even existed.
Furthermore, if I set up a mirror maybe 1 light day away from earth, sent a photon stream towards that mirror which would return, I could instantaneously determine whether a beam splitter was placed in front of the detector in two days. Using this form of information, I could encode something like a video and watch the news that was going to be published in 2 days, so long as I encoded the information with the beam splitter in two days. I could literally see into the future.
What's wrong with my logic?