Hi, part (b) in Exercise 2 of HW8 asks us explain what are the teleported states that Bob gets when the protocol is completed, and to compare with the initial state |φ⟩. In this "corrupted" teleportation situation, when Bob receives, say, bits 01, and applies the X unitary to his qubit, what he will obtain will not be, in general, of the form K(|φ⟩ + something else), although when we do the projection without normalizing, we obtain something of the stated form. My question is whether we have to work with Bob's normalized state or not. Because without normalization, the comparison with the initial state |φ⟩ is more direct and, to some extent, gives more intuition about what's happening.
Thanks very much.