Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 324 / 4 / a / i

For a finite abelian group $G$ and its character group of a finite abelian group $\hat{G}$, the quantum Fourier transform over a finite abelian group isReplacing $\chi (g)$ by its complex conjugate gives the equally common inverse-transform convention.