found to have been determined in both places simultaneously.
That's not true. You measure one of the qubits, and its state is destroyed, randomly scrambled. When you transmit the information and apply it to the other qubit, it now has the same polarization as the first one had, before. You still don't know what the polarization is though! The entanglement is still intact, and you haven't made a measurement of the system (as a whole) so the wavefunction has not collapsed. http://en.wikipedia.org/wiki/Quantum_teleportation#Remarks
Oh, huh, the process described there is distinct from the sort of "Quantum Teleportation" that I was used to. Using an entangled pair and some transmission of classical bits to transmit a qubit across a distance is pretty neat, and this "quantum teleportation" really is quantum teleportation. It's only sort of related to the cryptogrpahic technique I'd previously heard described as "quantum teleportation", but in the absence of evidence as to who grabbed that pair of words first I won't complain.