Practice with up to two qubits. (a) Suppose a one-qubit system is in the state 21i0+21+i1 and you measure the qubit. What are the possible outcomes and their probabilities? (b) Suppose a one-qubit system is in the state H0 and you measure the qubit. What are the possible outcomes and their probabilities? (c) Suppose a two-qubit system is in the state CHH(HH)00 and you measure both qubits. What are the possible two-bit outcomes and their probabilities? (d) Draw the transformation CHH(HH) as a quantum circuit. Hints: Recall Dirac notation and the basic gate types, such as the Hadamard gate H=21[1111], from the lecture slides. The notation CH in particular is a controlled Hadamard gate. You may want to observe that HH=(IH)(HI)=H[20]H[21]. Remember that by convention the gates in a quantum circuit are executed from left to right, whereas a matrix-ket product is evaluated one matrix at a time from right to left