Under the properties of quantum theory, the pair of photons should remain entangled over the 4,600-mile (7,400-kilometer) distance from Vienna to Beijing. The Quantum Science Satellite will try to prove it.
“According to quantum mechanics, there is no limit,” Zeilinger said. “But there are people who have the idea that the effect of the phenomenon of coherence between two different places degrades over large distances, which I don’t believe, but it’s interesting to test whether quantum communication survives any distance, as predicted by the theory.”
https://spaceflightnow.com/2016/08/15/chinese-satellite-to-begin-quantum-communications-experiments/
>“But there are people who have the idea that the effect of the phenomenon of coherence between two different places degrades over large distances, which I don’t believe, but it’s interesting to test whether quantum communication survives any distance, as predicted by the theory.”
Distance is a function of time to arrival. In an exponential rate of acceleration that is likely included in something like a black Hole, I’d say anything is possible.
God requires infinity to make everything possible.