This work considers the completely positive trace preserving (CPTP) maps, the basic notion of quantum channel, and shows that the category of CPTP maps is ...

Dec 17, 2018 · Informally: The category of Completely Positive Trace Preserving (CPTP) is the simplest category that interprets PureQM with ancillas, ...

We argue that notions in quantum theory should have universal properties in the sense of category theory. We consider the completely positive trace ...

Universal Properties in Quantum Theory, Mathieu Huot and Sam Staton, Book Title, Proceedings 15th International Conference on Quantum Physics and Logic.

We argue that notions in quantum theory should have universal properties in the sense of category theory. We consider the completely positive trace ...

Jun 9, 2022 · We provide a universal construction of the category of finite-dimensional C*-algebras and completely positive trace-nonincreasing maps.

Mar 22, 1984 · universal is a purely logical property of the theory. ... These properties illustrate two interesting implications of quantum measurement theory:.

If there is a 'main topic' in category theory, this is certainly the study of universal properties. Roughly speaking, an entity is universal among a family ...

Jun 30, 2022 · We argue that notions in quantum theory should have universal properties in the sense of category the- ory. We consider the completely ...