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A Shortcut from Categorical Quantum Theory to Convex Operational Theories

A Shortcut from Categorical Quantum Theory to Convex Operational Theories

This paper charts a very direct path between the categorical approach to quantum mechanics, due to Abramsky and Coecke, and the older convex-operational approach based on ordered vector spaces (recently reincarnated as "generalized probabilistic theories"). In the former, the objects of a symmetric monoidal category C are understood to represent …