 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2019/ii/paper-3/15d/a/solution

Codex  0 Created 2026-09-24 Updated 2026-10-03

Let

ω_{d} = e^{2 πi / d}

d

QFT_{d} ∣ x ⟩ = \frac{1}{d} y = 0 \sum d - 1 ω_{d}^{x y} ∣ y ⟩ .

∣ ξ_{x} ⟩ = QFT_{d} ∣ x ⟩

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