Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 10 of 10 for “"finite geometry"”.
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Finite Geometry and Computer Algebra, with Applications
The interaction between geometry and algebra is a diverse and fruitful area to explore. Of particular interest is the area of groups and geometry. In this work we will examine various aspects of this interplay, in particular looking at geometric canonical forms of figures in various projective …
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Partial ordering of weak mutually unbiased bases in finite quantum systems
There has being an enormous work on finite quantum systems with variables in Zd, especially on mutually unbiased bases. The reason for this is due to its wide areas of application. We focus on partial ordering of weak mutually un-biased bases. In it, we studied a partial ordered relation which …
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Finite geometries and block designs
… thesis is mainly an exposition to the ideas in finite geometry, specifically affine and projective planes as well as block designs. We conclude with a chapter on how to apply these ideas to coding theory. Some of the results we look at include both the Bruck-Ryser and Bruck-Ryser-Chowla theorems …
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Abstract hyperovals, partial geometries, and transitive hyperovals
A hyperoval is a (q+2)- arc of a projective plane π, of order q with q even. Let G denote the collineation group of π containing a hyperoval Ω. We say that Ω is transitive if for any pair of points x, y is an element of Ω, there exists a g is an element of G fixing Ω setwise such that xg = y. …
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Conics, unitals and net replacement.
… this thesis are inherited unitals and conics in finite translation planes. Translation planes may be constructed from particular incidences in other translation planes. One method for doing this is "net-derivation" or the corresponding operation "net replacement". We consider conics and unitals …
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Characterising and constructing codes using finite geometries
Codeertheorie en eindige meetkunde zijn nauw aan elkaar verwant. Resultaten in het ene onderzoeksveld impliceren nieuwe bevindingen in het andere, en vice versa. Bovendien kent elk domein haar eigen troeven en loont het om een bestaand probleem vanuit beide disciplines te benaderen. Dit …
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Measurement of the Neutron-Neutron Quasifree Scattering Cross Section in Neutron-Deuteron Breakup at 10.0 and 15.6 MeV
… section were averagedover the energy spread and finite geometry of the experiment using a Monte-Carlo simulation. The simulation was also used to compute the average detector efficiencies, the average neutron transmission factors, and corrections to the raw yields for multiple …
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Incidence geometry from an algebraic graph theory point of view
… apply techniques from algebraic graph theory to finite incidence geometry. The incidence geometries under consideration include projective spaces, polar spaces and near polygons. These geometries give rise to one or more graphs. By use of eigenvalue techniques, we obtain results on these graphs …
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An analytic representation of weak mutually unbiased bases
Quantum 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 …
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Synthetic Topological Quantum Matter in Nanostructured 2D Materials for Quantum Information Processing
… in this thesis. We begin by defining the geometry of twisted graphene multilayers, which serves as the basis for the methods described later. We then introduce the general many-body problem and focus on various approximations commonly used to solve it. The tight-binding model is derived, …