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arXiv · 1308.1415

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

Nolan Wallach
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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 $1-\varepsilon$ with (polylog) complexity $O(\log(q)^{R}\log(\varepsilon)^{2})$ where $R<\infty.$

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Nolan Wallach. 2013-08-10. A quantum polylog algorithm for non-normal maximal cyclic hidden subgroups in the affine group of a finite field. https://arxiv.org/abs/1308.1415

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