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Quantum Fourier transform

Hidden subgroup problem

For a finite group $G$, subgroup $H$, and $g\in G$, the coset state is the uniform superposition
$$
|gH\rangle=\frac1{\sqrt{|H|}}\sum_{h\in H}|gh\rangle.
$$


Coset state

Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 324 / 4 / b / iii / Solution

Simon's algorithm

Coset state

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Coset state

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