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Dagger and Dilation in the Category of Von Neumann algebras (1803.01911v5)
Published 5 Mar 2018 in math.OA, cs.LO, math.FA, and math.QA
Abstract: 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 "diamond, andthen, dagger" we turn to the second topic: effectus theory. Both chapters, or rather parts, can be read separately and feature a comprehensive introduction of their own.
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