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quant-ph2021
Finite-dimensional Quantum Observables are the Special Symmetric Dagger-Frobenius Algebras of CP Maps
Stefano Gogioso
We use purity, a principle borrowed from the foundations of quantum information, to show that all special symmetric dagger-Frobenius algebras in CPM(fHilb) are canonical, i.e. that…
quant-ph2021
CPM Categories for Galois Extensions
James Hefford, Stefano Gogioso
By considering a generalisation of the CPM construction, we develop an infinite hierarchy of probabilistic theories, exhibiting compositional decoherence structures which generalis…
quant-ph2021★ 7 cited
The Sheaf-Theoretic Structure of Definite Causality
Stefano Gogioso, Nicola Pinzani
We fill a gap in the study of contextuality by extending the sheaf-theoretic framework for non-locality by Abramsky and Brandenburger to deal with operational scenarios in the pres…