A quantum polylog algorithm for non-normal maximal cyclic hidden subgroups in the affine group of a finite field

Abstract

We give an algorithm to solve the quantum hidden subgroup problem for maximal cyclic non-normal subgroups of the affine group of a finite field (if the field has order q then the group has order q(q-1)) with probability 1- with (polylog) complexity O((q)R()2) where R<∞.

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