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dc.contributor.authorAlexander, Matthew
dc.date.accessioned2019-08-23 14:33:24 (GMT)
dc.date.available2019-08-23 14:33:24 (GMT)
dc.date.issued2019-08-23
dc.date.submitted2019-08-20
dc.identifier.urihttp://hdl.handle.net/10012/14931
dc.description.abstractEvery potential benefit of quantum computers would be lost without methods to protect the computations from error. Quantum channels provide a framework for understanding error in quantum systems. In general, for a system of size d, a quantum channel may require as many as ~d^4 parameters to characterize it. We introduce the leading Kraus approximation, a simplification which reduces the number of parameters to ~d^2, while accurately approximating two figures of merit important to the experimentalist: the unitarity and average process fidelity. Additionally, applying the leading Kraus approximation declutters investigations into the set of quantum channels. When applied, a natural decomposition of channels arises, separating behaviour into coherent and decoherent contributions. We find that eliminating the coherent contribution provides the greatest increase to the fidelity, while decoherent processes provide a generalization of depolarizing channels.en
dc.language.isoenen
dc.publisherUniversity of Waterlooen
dc.subjectquantum informationen
dc.subjectquantum channelsen
dc.subjectleading Kraus approximationen
dc.titleA Polar Decomposition for Quantum Channels: Theory and Applicationsen
dc.typeMaster Thesisen
dc.pendingfalse
uws-etd.degree.departmentPhysics and Astronomyen
uws-etd.degree.disciplinePhysics (Quantum Information)en
uws-etd.degree.grantorUniversity of Waterlooen
uws-etd.degreeMaster of Scienceen
uws.contributor.advisorEmerson, Joseph
uws.contributor.affiliation1Faculty of Scienceen
uws.published.cityWaterlooen
uws.published.countryCanadaen
uws.published.provinceOntarioen
uws.typeOfResourceTexten
uws.peerReviewStatusUnrevieweden
uws.scholarLevelGraduateen


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