Entanglement Breaking Channels in Quantum Information

dc.contributor.advisorPereira, Rajesh
dc.contributor.advisorKribs, David
dc.contributor.authorOlfert, Katrina
dc.date.accessioned2020-05-05T14:24:48Z
dc.date.available2020-05-05T14:24:48Z
dc.date.copyright2020-04
dc.date.created2020-03-29
dc.date.issued2020-05-05
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.abstractQuantum channels are central objects of study in quantum information, of which entanglement breaking channels are an interesting subset. Entanglement is considered a fundamental resource and property of quantum mechanics that we can use as a driving force for new theories and to continue research in this area. We exhibit the connection between stochastic matrix theory and the iterative behaviour of entanglement breaking channels and relate the Jordan forms of the entanglement breaking channels and stochastic matrices. We build on this perspective to study the fixed point theory for such channels. We further consider the nullspace structure of entanglement breaking channels, in particular proving that every operator space of trace zero matrices is the nullspace of such a channel. We connect the nullspace of entanglement breaking channels with private subspaces and present examples and discuss connections between quantum privacy and trace zero matrices. Finally, we draw a connection between random unitary channels and entanglement breaking channels.en_US
dc.identifier.urihttp://hdl.handle.net/10214/17903
dc.language.isoenen_US
dc.publisherUniversity of Guelphen_US
dc.rightsAttribution-NonCommercial 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/*
dc.subjectEntanglement Breaking Channelsen_US
dc.subjectQuantum Informationen_US
dc.subjectQuantum Channelen_US
dc.subjectStochastic Matricesen_US
dc.subjectnullspaceen_US
dc.titleEntanglement Breaking Channels in Quantum Informationen_US
dc.typeThesisen_US

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Results on entanglement breaking channels in quantum information