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• W437014784 abstract "In this paper, we consider the hidden subgroup problem (HSP) over the class of semidirect product groups Zpr ⋊ Zq, for p and q prime. We first present a classification of these groups in five classes. Then, we describe a polynomial-time quantum algorithm solving the HSP over all the groups of one of these classes: the groups of the form Zpr ⋊ Zp, where p is an odd prime. Our algorithm works even in the most general case where the group is presented as a black-box group with not necessarily unique encoding. Finally, we extend this result and present an efficient algorithm solving the HSP over the groups Zprm ⋊ Zp." @default.
• W437014784 created "2016-06-24" @default.
• W437014784 creator A5011992745 @default.
• W437014784 creator A5016528181 @default.
• W437014784 date "2007-07-01" @default.
• W437014784 modified "2023-10-16" @default.
• W437014784 title "Efficient quantum algorithms for the hidden subgroup problem over semi-direct product groups" @default.
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• W437014784 doi "https://doi.org/10.5555/2011832.2011841" @default.
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