I'm not certain, but the abstract says We prepare the teleporter through photon-mediated heralded entanglement between two distant electron spins. So I think there's a classical setup phase, then the information transfer is instantaneous.
(If there is a way to make me feel stupid fast is to read those papers).
The original: From the abstract, they found a way to "freeze" entangled qbits, so that you can transport them, and read later.
For the confusion here, just remember that you can not transmit information by reading quantum entangled pairs. You can use them to make a quantum cryptography key exchange, that's still as subject to man in the middle attacks as symetric crypto, and you can use them for error correction in quantum computers (for what this one may be HUGE).