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Browsing Auburn Theses and Dissertations by Author "Gay, Randall"

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Generalizations of Various Results in Quantum Computation Theory to Mixed-Dimensional Quantum Systems 

Gay, Randall (2021-04-05)
The majority of the research in quantum computation theory is based on quantum mechanical systems consisting of quantum subsystems that are all of the same dimension. Following and expanding on the research conducted by ...

On the Countable Dense Homogeneity of Euclidean Spaces 

Gay, Randall (2015-04-20)
A countable dense homogeneous space, in a general sense, is a topological space in which any two countable dense subsets of the space are "dispersed" the same way. In this thesis, we will show that some very well-known ...