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The hidden subgroup problem for generalized quaternions

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dc.contributorNeggers, Joseph
dc.contributorStern, Allen B.
dc.contributorEvans, Martin J.
dc.contributorDixon, Martyn R.
dc.contributor.advisorCorson, Jon M.
dc.contributor.authorUpton, Julia Tumasova
dc.contributor.otherUniversity of Alabama Tuscaloosa
dc.date.accessioned2017-02-28T22:21:32Z
dc.date.available2017-02-28T22:21:32Z
dc.date.issued2009
dc.descriptionElectronic Thesis or Dissertationen_US
dc.description.abstractThe hidden subgroup problem is a pivotal problem in quantum computation since it reflects the structure of tasks for which quantum algorithms significantly outperform classical algorithms. In this dissertation, a quantum algorithm that solves the hidden subgroup problem over the generalized quaternion group is developed. The algorithm employs the abelian quantum Fourier transform and Kuperberg sieve to reveal the hidden subgroup.en_US
dc.format.extent75 p.
dc.format.mediumelectronic
dc.format.mimetypeapplication/pdf
dc.identifier.otheru0015_0000001_0000118
dc.identifier.otherUpton_alatus_0004D_10075
dc.identifier.urihttps://ir.ua.edu/handle/123456789/625
dc.languageEnglish
dc.language.isoen_US
dc.publisherUniversity of Alabama Libraries
dc.relation.hasversionborn digital
dc.relation.ispartofThe University of Alabama Electronic Theses and Dissertations
dc.rightsAll rights reserved by the author unless otherwise indicated.en_US
dc.subjectMathematics
dc.subjectPhysics, General
dc.subjectComputer science
dc.titleThe hidden subgroup problem for generalized quaternionsen_US
dc.typethesis
dc.typetext
etdms.degree.departmentUniversity of Alabama. Department of Mathematics
etdms.degree.disciplineMathematics
etdms.degree.grantorThe University of Alabama
etdms.degree.leveldoctoral
etdms.degree.namePh.D.

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