Browsing Theses by Author "Graydon, Matthew"
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Conical Designs and Categorical Jordan Algebraic Post-Quantum Theories
Graydon, Matthew (University of Waterloo, 2017-01-06)Physical theories can be characterized in terms of their state spaces and their evolutive equations. The kinematical structure and the dynamical structure of finite dimensional quantum theory are, in light of the ... -
Quaternions and Quantum Theory
Graydon, Matthew (University of Waterloo, 2011-08-30)The orthodox formulation of quantum theory invokes the mathematical apparatus of complex Hilbert space. In this thesis, we consider a quaternionic quantum formalism for the description of quantum states, quantum channels, ...