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arXiv · 1307.1183

Quantum computational algorithm for hidden symmetry subgroup problems on semi-direct product of cyclic groups

Jeong San Kim·Eunok Bae·Soojoon Lee
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Abstract

We characterize the algebraic structure of semi-direct product of cyclic groups, $\Z_{N}\rtimes\Z_{p}$, where $p$ is an odd prime number which does not divide $q-1$ for any prime factor $q$ of $N$, and provide a polynomial-time quantum computational algorithm solving hidden symmetry subgroup problem of the groups.

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Jeong San Kim, Eunok Bae, Soojoon Lee. 2013-07-04. Quantum computational algorithm for hidden symmetry subgroup problems on semi-direct product of cyclic groups. https://arxiv.org/abs/1307.1183

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