Quantum Fidelity and the Bures Metric in Operator Algebras

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dc.contributor.advisorFarenick, Douglas
dc.contributor.authorRahaman, Mizanur
dc.contributor.committeememberFloricel, Remus
dc.contributor.committeememberMobed, Nader
dc.contributor.committeememberMare, Augustin-Liviu
dc.contributor.externalexaminerPereira, Rajesh
dc.date.accessioned2017-11-24T19:30:39Z
dc.date.available2017-11-24T19:30:39Z
dc.date.issued2017-06
dc.descriptionA Thesis Submitted to the Faculty of Graduate Studies and Research In Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy in Mathematics, University of Regina. 143 p.en_US
dc.description.abstractThis dissertation undertakes the study of quantum delity, a distinguishability measure in the context of quantum mechanics, from the operator algebraic viewpoint. The notion of delity provides a quantitative measure of how close one state of a quantum system is to another state. High delity occurs when the two states are very close to each other. Evidently, this concept is closely related to a metric on the quantum states which is known as the Bures metric. In this thesis, delity and the Bures metric have been studied in the context of (i) unital C -algebras that possess a faithful positive trace functional and (ii) semi nite von Neumann algebras. In addition, these notions have been analysed in the matrix algebras in an e ort to relate to the quantum information theory literature.en_US
dc.description.authorstatusStudenten
dc.description.peerreviewyesen
dc.identifier.tcnumberTC-SRU-7852
dc.identifier.thesisurlhttp://ourspace.uregina.ca/bitstream/handle/10294/7852/Rahaman_Mizanur_200358575_PHD_MATH_Fall2017.pdf
dc.identifier.urihttps://hdl.handle.net/10294/7852
dc.language.isoenen_US
dc.publisherFaculty of Graduate Studies and Research, University of Reginaen_US
dc.titleQuantum Fidelity and the Bures Metric in Operator Algebrasen_US
dc.typeThesisen
thesis.degree.departmentDepartment of Mathematics and Statisticsen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.grantorUniversity of Reginaen
thesis.degree.levelDoctoralen
thesis.degree.nameDoctor of Philosophy (PhD)en_US
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