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math.CT2022★ 5 cited
Axioms for the category of Hilbert spaces and linear contractions
Chris Heunen, Andre Kornell, Nesta van der Schaaf
The category of Hilbert spaces and linear contractions is characterised by elementary categorical properties that do not refer to probabilities, complex numbers, norm, continuity,…
quant-ph2022★ 3 cited
Universal Properties of Partial Quantum Maps
Pablo Andrés-MartíÂ-nez, Chris Heunen, Robin Kaarsgaard
We provide a universal construction of the category of finite-dimensional C*-algebras and completely positive trace-nonincreasing maps from the rig category of finite-dimensional H…