Forget Morse code, if you can string together bundles of quantum entanglements, linking one site to multiple other sites, you could duplicate our current digital telephone/Skype phones (which all rely on 1s and 0s), allowing instantaneous communication across the galaxy.
Nope doesn't work like that at all:
take a pair of entangled particle (A and B), separate them, then make a measurement of a quantum property of A, you got an absolutely random value.
later or simultaneously make a measurement of the same property of particle B you got the opposite value of A measurement. A big surprise to the classical thinking mens, I see nothing exciting about that it's an absolutely normal quantum behavior easily derived ages ago from the very simple equations. However while doing the measurement collapse the wave function of "both" particles the result of the measurement is simply a random number.
- You can't know if the other side made a measurement before you.
- You can't extract information from pure random number.
The recent excitement, is that we finally can play with it at will and prove that Einstein opposition to the concept was totally bogus, the quantum theory is once more as always proved solid.
Note that the non FTL transmission of information is also solidly proved by the basic equations.
So providing a "quantum" way of transmitting information FTL would prove quantum theory to be wrong.