Solution
= Solution
If $|v
angle=\sum_kc_k|χ_k
angle$, then QFT measurement has probabilities $|c_k|^2$. Applying $S$ multiplies $c_k$ by the phase $ω^k$, so the probabilities are unchanged.
= Solution
If $|v
angle=\sum_kc_k|χ_k
angle$, then QFT measurement has probabilities $|c_k|^2$. Applying $S$ multiplies $c_k$ by the phase $ω^k$, so the probabilities are unchanged.