You only need to solve part (C).

(a) State space A pure quantum state is completely described by a vector (v) in a Hilbert space H. Usually quantum states are normalized (v|7) = 1. Normalize the one-qubit state 10) = 210) - 211) , (1) that is, find a constant A such that (?) = |0) /A is normalized. (c) Measurement Measurements are described by sets of measurement operators { Mm}, where the index m corresponds to any of the possible outcomes of the measurement. Measurement of a single qubit in the computational basis is described by the operators Outcome 0 : Mo = 10)0| (3) Outcome 1: M1 = [1X1| . (4) Suppose a qubit is in the normalized state () from part (a). What are the probabilities of outcomes 0 and 1 when () is measured in the computational basis