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

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- Solution i

Solution

In the hidden subgroup problem, an oracle gives a function

f : G \to X

that is constant on every left coset of an unknown subgroup

H \leq G

and takes distinct values on distinct cosets. The task is to determine

H

.

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