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dc.contributor.advisorJupp, Peter E.
dc.contributor.authorO'Loan, Caleb J.
dc.description.abstractA quantum channel is a mapping which sends density matrices to density matrices. The estimation of quantum channels is of great importance to the field of quantum information. In this thesis two topics related to estimation of quantum channels are investigated. The first of these is the upper bound of Sarovar and Milburn (2006) on the Fisher information obtainable by measuring the output of a channel. Two questions raised by Sarovar and Milburn about their bound are answered. A Riemannian metric on the space of quantum states is introduced, related to the construction of the Sarovar and Milburn bound. Its properties are characterized. The second topic investigated is the estimation of unitary channels. The situation is considered in which an experimenter has several non-identical unitary channels that have the same parameter. It is shown that it is possible to improve estimation using the channels together, analogous to the case of identical unitary channels. Also, a new method of phase estimation is given based on a method sketched by Kitaev (1996). Unlike other phase estimation procedures which perform similarly, this procedure requires only very basic experimental resources.en_US
dc.publisherUniversity of St Andrews
dc.subjectQuantum statisticsen_US
dc.subjectPhase estimationen_US
dc.subjectQuantum channelsen_US
dc.subjectRiemannian metricsen_US
dc.subject.lcshQuantum statisticsen
dc.subject.lcshMetric spacesen
dc.titleTopics in estimation of quantum channelsen_US
dc.contributor.sponsorEngineering and Physical Sciences Research Council (EPSRC)en_US
dc.type.qualificationnamePhD Doctor of Philosophyen_US
dc.publisher.institutionThe University of St Andrewsen_US

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