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On the Countable Dense Homogeneity of Euclidean Spaces
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 ...
Generalizations of Various Results in Quantum Computation Theory to Mixed-Dimensional Quantum Systems
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 ...