We discuss the problem of transfering a qubit from Alice to Bob using a noi
sy quantum channel and only finite resources. As the basic protocol for the
transfer we apply quantum teleportation. It turns out that, for a certain
quality of the channel, direct teleportation combined with qubit purificati
on is superior to entanglement purification of the channel. If, however, th
e quality of the channel is rather low, one should simply apply an estimati
on-preparation scheme.