Modeling and managing noise in quantum error correction

dc.contributor.authorBeale, Stefanie
dc.date.accessioned2023-10-19T19:36:21Z
dc.date.available2023-10-19T19:36:21Z
dc.date.issued2023-10-19
dc.date.submitted2023-10-13
dc.description.abstractSimulating a quantum system to full accuracy is very costly and often impossible as we do not know the exact dynamics of a given system. In particular, the dynamics of measurement noise are not well understood. For this reason, and especially in the context of quantum error correction, where we are studying a larger system with branching outcomes due to syndrome measurement, studies often assume a probabilistic Pauli (or Weyl) noise model on the system with probabilistically misreported outcomes for the measurements. In this thesis, we explore methods to decrease the computational complexity of simulating encoded memory channels by deriving conditions under which effective channels are equivalent up to logical operations. Leveraging this method allows for a significant reduction in computational complexity when simulating quantum error correcting codes. We then propose methods to enforce a model consistent with the typical assumptions of stochastic Pauli (or Weyl) noise with probabilistically misreported measurement outcomes: first via a new protocol we call measurement randomized compiling, which enforces an average noise on measurements wherein measurement outcomes are probabilistically misreported; then by another new protocol we call logical randomized compiling, which enforces the same model on syndrome measurements and a probabilistic Pauli (or Weyl) noise model on all other operations (including idling). Together, these results enable more efficient simulation of quantum error correction systems by enforcing effective noise of a form which is easier to model and by reducing the simulation overhead further via symmetries. The enforced effective noise model is additionally consistent with standard error correction procedures and enables techniques founded upon the standard assumptions to be applied in any setting where our protocols are simultaneously applied.en
dc.identifier.urihttp://hdl.handle.net/10012/20047
dc.language.isoenen
dc.pendingfalse
dc.publisherUniversity of Waterlooen
dc.subjectquantum error correctionen
dc.subjectquantum computingen
dc.subjectquantum error mitigationen
dc.subjectnoise tailoringen
dc.subjectqecen
dc.subjectsymmetriesen
dc.subjectrandomized compilingen
dc.subjectfault toleranceen
dc.subjectfault toleranten
dc.subjectlogical randomized compilingen
dc.subjectmeasurementen
dc.subjectmeasurement randomized compilingen
dc.titleModeling and managing noise in quantum error correctionen
dc.typeDoctoral Thesisen
uws-etd.degreeDoctor of Philosophyen
uws-etd.degree.departmentPhysics and Astronomyen
uws-etd.degree.disciplinePhysics (Quantum Information)en
uws-etd.degree.grantorUniversity of Waterlooen
uws-etd.embargo.terms0en
uws.contributor.advisorWallman, Joel J.
uws.contributor.advisorLaflamme, Raymond
uws.contributor.affiliation1Faculty of Scienceen
uws.peerReviewStatusUnrevieweden
uws.published.cityWaterlooen
uws.published.countryCanadaen
uws.published.provinceOntarioen
uws.scholarLevelGraduateen
uws.typeOfResourceTexten

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