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dc.contributor.advisorVourdas, Apostolos
dc.contributor.advisorCi, Lei
dc.contributor.authorOlupitan, Tominiyi E.
dc.date.accessioned2018-05-16T10:03:14Z
dc.date.available2018-05-16T10:03:14Z
dc.date.issued2016
dc.identifier.urihttp://hdl.handle.net/10454/15904
dc.description.abstractQuantum systems in the d-dimensional Hilbert space are considered. The mutually unbiased bases is a deep problem in this area. The problem of finding all mutually unbiased bases for higher (non-prime) dimension is still open. We derive an alternate approach to mutually unbiased bases by studying a weaker concept which we call weak mutually unbiased bases. We then compare three rather different structures. The first is weak mutually unbiased bases, for which the absolute value of the overlap of any two vectors in two different bases is 1/√k (where k∣d) or 0. The second is maximal lines through the origin in the Z(d) × Z(d) phase space. The third is an analytic representation in the complex plane based on Theta functions, and their zeros. The analytic representation of the weak mutually unbiased bases is defined with the zeros examined. It is shown that there is a correspondence (triality) that links strongly these three apparently different structures. We give an explicit breakdown of this triality.en_US
dc.language.isoenen_US
dc.rights<a rel="license" href="http://creativecommons.org/licenses/by-nc-nd/3.0/"><img alt="Creative Commons License" style="border-width:0" src="http://i.creativecommons.org/l/by-nc-nd/3.0/88x31.png" /></a><br />The University of Bradford theses are licenced under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-nd/3.0/">Creative Commons Licence</a>.eng
dc.subjectFinite quantum systemsen_US
dc.subjectWeak mutually unbiased basesen_US
dc.subjectFinite geometryen_US
dc.subjectTheta functionsen_US
dc.titleAn analytic representation of weak mutually unbiased basesen_US
dc.type.qualificationleveldoctoralen_US
dc.publisher.institutionUniversity of Bradfordeng
dc.publisher.departmentFaculty of Engineering and Informaticsen_US
dc.typeThesiseng
dc.type.qualificationnamePhDen_US
dc.date.awarded2016
refterms.dateFOA2018-07-29T01:55:41Z


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