QA

 So it comes down to this: quantum advantage arises because one is measuring

differently, here moving a qubit around the Bloch sphere because we are rotating

around the y-axis. We cannot clone a qubit in a probabilistic state. One has to measure

to see what is going on.

 Adding a 45 degree rotation to a Hadamard on 0:

                                                             

Both qubits are in an identical state at the CNOT.