2.2) Construct a qubit state (1) = A(-a,|0) + ia,|1)), where do and a, are the last two digits of your student ID. a) Find A to normalise the state [1 mark] b) Use matrix notation to find the probability that a measurement of S,, as defined in the previous question, will result in -h/2 [2 marks] c) Use Dirac notation to find the expectation value (S, ), considering that an operator can be written as A = >cli)(/|, where i and ) are the row and column numbers of the matrix [2 marks] d) Construct the two-qubit state hip) @ ), where ly) = (10) - [1)) [1 mark] e) Apply a CNOT gate between the qubits above and find the resulting state [3 marks]