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dc.contributor.advisorKlappenecker, Andreas
dc.creatorKumar, Santosh
dc.date.accessioned2005-11-01T15:50:52Z
dc.date.available2005-11-01T15:50:52Z
dc.date.created2004-08
dc.date.issued2005-11-01
dc.identifier.urihttp://hdl.handle.net/1969.1/2744
dc.description.abstractThe most popular class of quantum error correcting codes is stabilizer codes. Binary quantum stabilizer codes have been well studied, and Calderbank, Rains, Shor and Sloane (July 1998) have constructed a table of upper bounds on the minimum distance of these codes using linear programming methods. However, not much is known in the case of nonbinary stabilizer codes. In this thesis, we establish a bridge between selforthogonal classical codes over the finite field containing q2 elements and quantum codes, extending and unifying previous work by Matsumoto and Uyematsu (2000), Ashikhmin and Knill (November 2001), Kim and Walker (2004). We construct a table of upper bounds on the minimum distance of the stabilizer codes using linear programming methods that are tighter than currently known bounds. Finally, we derive code construction techniques that will help us find new codes from existing ones. All these results help us to gain a better understanding of the theory of nonbinary stabilizer codes.en
dc.format.extent307868 bytesen
dc.format.mediumelectronicen
dc.format.mimetypeapplication/pdf
dc.language.isoen_US
dc.publisherTexas A&M University
dc.subjectStabilizeren
dc.subjectnonbinaryen
dc.subjectboundsen
dc.subjectupperen
dc.subjectcodesen
dc.subjectquantumen
dc.titleUpper bounds on minimum distance of nonbinary quantum stabilizer codesen
dc.typeBooken
dc.typeThesisen
thesis.degree.departmentComputer Scienceen
thesis.degree.disciplineComputer Scienceen
thesis.degree.grantorTexas A&M Universityen
thesis.degree.nameMaster of Scienceen
thesis.degree.levelMastersen
dc.contributor.committeeMemberMahapatra, Rabi
dc.contributor.committeeMemberGeller, Sue
dc.type.genreElectronic Thesisen
dc.type.materialtexten
dc.format.digitalOriginborn digitalen


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