Operator Theory and Conditions for Quantum Local Operations and Classical Communication

dc.contributor.advisorKribs, David
dc.contributor.authorMintah, Comfort
dc.date.accessioned2017-01-16T19:57:15Z
dc.date.available2017-01-16T19:57:15Z
dc.date.copyright2016-12
dc.date.created2016-12-20
dc.date.issued2017-01-16
dc.degree.departmentDepartment of Mathematics and Statisticsen_US
dc.degree.grantorUniversity of Guelphen_US
dc.degree.nameMaster of Scienceen_US
dc.degree.programmeMathematics and Statisticsen_US
dc.description.abstractWe study the finite dimensional $C^{*}$-algebras and their representation theory. The physical description of quantum local operations and classical communication (LOCC) and its schematics are presented. Focusing on the mathematical description of one-way LOCC, we give detailed analysis of recently derived operator relations in quantum information theory. We also show how functional analytic tools such as operatorx systems, operator algebras, and Hilbert $C^{*}$-modules all naturally emerge in this setting. We make use of these structures to derive some key results in one-way LOCC. Perfect distinguishability of one-way LOCC versus arbitrary quantum operations is analyzed. It turns out that they are equivalent for several families of operators that appear jointly in matrix and operator theory and quantum information theory. The main results of this work are contained in the paper \citep{comfort}.en_US
dc.description.sponsorshipAIMS-Next Einstein
dc.description.sponsorshipUniversity of Guelph
dc.identifier.urihttp://hdl.handle.net/10214/10213
dc.language.isoenen_US
dc.publisherUniversity of Guelphen_US
dc.rightsAttribution-NonCommercial-ShareAlike 2.5 Canada*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/2.5/ca/*
dc.subjectOperator Theoryen_US
dc.subjectLOCC conditionen_US
dc.titleOperator Theory and Conditions for Quantum Local Operations and Classical Communicationen_US
dc.typeThesisen_US

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Operator Theory and Conditions for Quantum Local Operations and Classical Communication