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Two experiments from ETH Zurich and University of Tokyo have demonstrated the most reliable version of quantum teleportation.

Here's a quick explanation of quantum teleportation, from the Nature abstract:

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Generically, teleportation protocols proceed by three steps (Fig. 1): a pair of quantum systems in an entangled state is produced and distributed, one to a sender (Alice) and the other to a receiver (Bob); Alice makes a joint measurement of her member of the entangled pair and the unknown state she wishes to teleport, and sends the measurement result to Bob; Bob uses the measurement result he receives from Alice to manipulate his quantum system in a predetermined way. After this manipulation, Bob’s quantum system ends up being in the unknown state, that teleported from Alice to Bob, with the only direct communication being a classical message — Alice’s measurement result.
It has some significant implications for communications. First, it works in a way not very different from PGP-secured email but without a physical link between sender and receiver.

The experiments were conducted at the 100 micrometer scale at temperatures around 20 millikelvins. Alice and Bob from the example were separated by 5mm. The experiment managed to induce entanglement deterministically, which had only been done at distances 1,000 times smaller.

Read the two papers here and here.