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math.OA2018
Pure Maps between Euclidean Jordan Algebras
Abraham Westerbaan, Bas Westerbaan, John van de Wetering
We propose a definition of purity for positive linear maps between Euclidean Jordan Algebras (EJA) that generalizes the notion of purity for quantum systems. We show that this defi…
math.OA2018
Dagger and Dilation in the Category of Von Neumann algebras
Bas Westerbaan
This doctoral thesis is a mathematical study of quantum computing, concentrating on two related, but independent topics. First up are dilations, covered in chapter 2. In chapter 3…