Their claim that they have reversed the arrow of time centers around reversing entropy, thus violating the 2nd law and causing entropy to "spontaneously flow in reverse". Fair enough, but then they blow their own claim by saying this:
When the nuclei are entangled, the correlation places extra limits on the way the particles behave, resulting in a kind of engine that drives heat energy in the opposite direction.
Creating an engine that drives heat in the opposite direction is definitely not the same as spontaneous heat flow reversal.
If that were true, then my refrigerator has already proven that time can be reversed.
It works on quantum entanglement, Marty. All we need is chloroform and acetone. Now we just pour them into Mr. NMR......pay attention Marty! This is physics!