Some wiki articles for the things we were talking about:

No-broadcast theorem: http://en.wikipedia.org/wiki/No-broadcast_theorem - “since quantum states cannot be copied in general, they cannot be broadcast.”

No-teleportation theorem: http://en.wikipedia.org/wiki/No_teleportation_theorem - “In quantum information theory, the no-teleportation theorem states that quantum information cannot be measured with complete accuracy.”

No-communication theorem: http://en.wikipedia.org/wiki/No-communication_theorem - “In quantum information theory, a no-communication theorem is a result which gives conditions under which instantaneous transfer of information between two observers is impossible.”

Then, later: “The no-communication theorem thus says shared entanglement alone can not be used to transmit quantum information. Compare this with the no teleportation theorem, which states a classical information channel can not transmit quantum information. (By transmit, we mean transmission with full fidelity.) **However, quantum teleportation schemes utilize both resources to achieve what is impossible for either alone.**”

Interesting!