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Hidden Subgroup Quantum Algorithms for a Class of Semi-Direct Product Groups

Authors: Wim van Dam and Siladitya Dey

Published in: LIPIcs, Volume 27, 9th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2014)


Abstract
A quantum algorithm for the Hidden Subgroup Problem over the group Z/p^{r}Z \rtimes Z/q^{s}Z is presented. This algorithm, which for certain parameters of the group qualifies as 'efficient', generalizes prior work on related semi-direct product groups.

Cite as

Wim van Dam and Siladitya Dey. Hidden Subgroup Quantum Algorithms for a Class of Semi-Direct Product Groups. In 9th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2014). Leibniz International Proceedings in Informatics (LIPIcs), Volume 27, pp. 110-117, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2014)


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@InProceedings{vandam_et_al:LIPIcs.TQC.2014.110,
  author =	{van Dam, Wim and Dey, Siladitya},
  title =	{{Hidden Subgroup Quantum Algorithms for a Class of Semi-Direct Product Groups}},
  booktitle =	{9th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2014)},
  pages =	{110--117},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-73-6},
  ISSN =	{1868-8969},
  year =	{2014},
  volume =	{27},
  editor =	{Flammia, Steven T. and Harrow, Aram W.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.TQC.2014.110},
  URN =		{urn:nbn:de:0030-drops-48117},
  doi =		{10.4230/LIPIcs.TQC.2014.110},
  annote =	{Keywords: quantum algorithms, quantum complexity theory, computational group theory}
}
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