 Solution

ID: past-exam-of-the-computer-science-course-of-the-university-of-oxford/2020/quantum-information/1/b/iii/solution

Choose

∣ ψ ⟩ = \frac{∣ ϕ _{0} ⟩ + ∣ ϕ _{1} ⟩}{2} = \frac{1}{2} ∣0 ⟩ + \frac{1}{2} ∣1 ⟩ + \frac{i}{2} ∣2 ⟩ .

(1/ 2, 1/ 2, 0)

, so the required probabilities are

(1/2, 1/2, 0)

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