5. Alice prepares N instances of the qubit state =cos(2)+sin(2). She gives all N copies to Bob and informs him that she selected randomly from the set {0,4,2} but that all N states are identical so they all have the same value of . Bob is free to make either a Z or an X measurement on each instance (but of course, due to state collapse, there is no point in making both measurements on one instance). His task is to find as efficiently as he can by making the fewest number of measurements. What can Bob conclude (a) if the measurement result on the first qubit is Z=1 ? (b) if the measurement result on the first qubit is Z=1 and the measurement result on the second qubit is X=1 ? (c) if the measurement result on the first qubit is Z=+1 and the measurement result on the second qubit is X=+1 ? (d) For each of the three possible values of , what is the probability that the first 10 qubit measurement results are all Z=+1 ? What can Bob conclude from this information