I've been working through the Brilliant Course on Quantum Computing, and I've reached the lesson on Quantum Teleportation. After completing the lesson and reading several questions and answers here:
I'm still struggling to understand its purpose.
If I understand the idea correctly, Quantum State Teleportation works in the following way:
A qubit represents infinite information because it can be in infinite states. Because of this, it's impossible to communicate a qubit state in a purely classical way.
However, a state can be "teleported" by entangling two qubits, A and B, and giving one to Alice and one to Bob. Then Alice can entangle a further qubit, C, with A via a Bell State measurement and send the results to Bob classically.
That allows Bob to apply his own measurement that recreates the state Alice's qubit C was originally in before the Bell State measurement.
Apparently, the reason to do this is to avoid thermal decoherence. That makes sense, but surely the entangled qubits A and B are just as susceptible to thermal decoherence?
If that's the case why not send C directly?