dorsal/arxiv
View SchemaNotes on the hidden subgroup problem on some semi-direct product groups
| Authors | Dong Pyo Chi, Jeong San Kim, Soojoon Lee |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0604172 |
| URL | https://arxiv.org/abs/quant-ph/0604172 |
| Journal | Phys. Lett. A 359, 114 (2006). |
Abstract
We consider the hidden subgroup problem on the semi-direct product of cyclic groups $\Z_{N}\rtimes\Z_{p}$ with some restriction on $N$ and $p$. By using the homomorphic properties, we present a class of semi-direct product groups in which the structures of subgroups can be easily classified. Furthermore, we show that there exists an efficient quantum algorithm for the hidden subgroup problem on the class.
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"abstract": "We consider the hidden subgroup problem on the semi-direct product of cyclic\ngroups $\\Z_{N}\\rtimes\\Z_{p}$ with some restriction on $N$ and $p$. By using the\nhomomorphic properties, we present a class of semi-direct product groups in\nwhich the structures of subgroups can be easily classified. Furthermore, we\nshow that there exists an efficient quantum algorithm for the hidden subgroup\nproblem on the class.",
"arxiv_id": "quant-ph/0604172",
"authors": [
"Dong Pyo Chi",
"Jeong San Kim",
"Soojoon Lee"
],
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"quant-ph"
],
"journal_ref": "Phys. Lett. A 359, 114 (2006).",
"title": "Notes on the hidden subgroup problem on some semi-direct product groups",
"url": "https://arxiv.org/abs/quant-ph/0604172"
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