Quantum Time Experiment: Teleporting Information Across Time Confirmed

[Lost in Space]

Teleportation of information has been experimentally confirmed across space. But what about across time? If one half of an entangled pair is sent into an accelerator and accelerated to sublight speed, doesn't that mean that time will be slowed down for the accelerated particle? So if the unaccelerated particle's state is affected, doesn't this in turn mean that the change in its twin will no longer be instantaneous and will take time to register? If decoherence doesn't occur for the accelerated particle and entanglement survives acceleration doesn't this then imply that as far as the accelerated particle is concerned its state is being determined by an event in its future?
And if the above holds true, when the accelerated particle is then removed from the accelerator, will any time differential still exist between the entangled pair or will they somehow 'snap' back together into a shared present?

 

[Nugatory]

The rate at which time passes for the two particles (that you phrased it that way suggests a basic misunderstanding of how relativistic time dilation works, but this a digression here) is irrelevant... but note that there is no such thing as a universal "shared present" that everyone agrees on, and the apparent paradox you're seeing is the result of the bogus assumption that such a thing might exist.

We have two events: measurement of the entangled property on one particle, and measurement of the entangled particle on the other. We find, when we get together after the fact and compare notes, that the measurement results are correlated and naturally want to say that the first measurement affected the result of the second.

Now there are two possibilities:
1) The two measurement events were timelike separated; one is in the past light cone of the other. In this case all observers everywhere in the universe, regardless of their state of motion, will agree which one came first and no one will suggest that the anything was influenced by something from the future.
2) The two measurement events are spacelike-separated. In this case,different observers may disagree about which measurement came first - but it doesn't matter because all the experimental measured results are the same either way.

You may want to look at some of our many many threads about why faster-than-light communication through entanglement doesn't work, and google for "quantum no-signaling theorem"