 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2024/ii/paper-2/10e/d/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

With

ω = e^{2 πi /12}

QFT_{12} ∣ x ⟩ = \frac{1}{12} c = 0 \sum 11 ω^{x c} ∣ c ⟩ .

(The opposite phase convention gives the same measurement probabilities.)

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