Efficient Composition of Discrete Time Quantum Walks

dc.contributor.authorLou, Xingliang
dc.date.accessioned2017-01-20T17:00:48Z
dc.date.available2017-01-20T17:00:48Z
dc.date.issued2017-01-20
dc.date.submitted2017-01-18
dc.description.abstractIt is well known that certain search problems are efficiently solved by quantum walk algorithms. Of particular interest are those problems whose efficient solutions involve nesting of search algorithms. The nesting of search algorithms generally incurs an extra logarithmic factor in query and time complexity, due to the use of majority voting as an error reduction technique. We study whether composition of search algorithms can be achieved without the said logarithmic factor in complexity. Two methods of composition have been proposed in this thesis. The first is a slight simplification of the quantum walk algorithm due to Magniez, Nayak, Roland, and Santha. The second is a method for composition of Markov chains. Neither approach appear to be generally applicable to all cases of quantum walk composition. Further work is required to determine the circumstances under which these approaches provide the logarithmic factor of increase in efficiency that we desire.en
dc.identifier.urihttp://hdl.handle.net/10012/11231
dc.language.isoenen
dc.pendingfalse
dc.publisherUniversity of Waterlooen
dc.subjectquantum walken
dc.subjectdiscrete time quantum walken
dc.subjectquantum algorithmen
dc.titleEfficient Composition of Discrete Time Quantum Walksen
dc.typeMaster Thesisen
uws-etd.degreeMaster of Mathematicsen
uws-etd.degree.departmentCombinatorics and Optimizationen
uws-etd.degree.disciplineCombinatorics and Optimization (Quantum Information)en
uws-etd.degree.grantorUniversity of Waterlooen
uws.contributor.advisorNayak, Ashwin
uws.contributor.affiliation1Faculty of Mathematicsen
uws.peerReviewStatusUnrevieweden
uws.published.cityWaterlooen
uws.published.countryCanadaen
uws.published.provinceOntarioen
uws.scholarLevelGraduateen
uws.typeOfResourceTexten

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