59 citations · 272 across the 46 of their papers we have counts for
6 papers · 1 filter
Classical structures of CP maps are all canonical
Stefano Gogioso
We use purity, a principle borrowed from the foundations of quantum information, to show that all isometric comonoids in the category $\operatorname{CPM}\left(\operatorname{fHilb}\…
Density Hypercubes, Higher Order Interference and Hyper-Decoherence: a Categorical Approach
Stefano Gogioso, Carlo Maria Scandolo
In this work, we use the recently introduced double-dilation construction by Zwart and Coecke to construct a new categorical probabilistic theory of density hypercubes. By consider…
Symmetric Monoidal Structure with Local Character is a Property
Stefano Gogioso, Dan Marsden, Bob Coecke
In previous work we proved that, for categories of free finite-dimensional modules over a commutative semiring, linear compact-closed symmetric monoidal structure is a property, ra…
Quantum Field Theory in Categorical Quantum Mechanics
Stefano Gogioso, Fabrizio Genovese
We use tools from non-standard analysis to formulate the building blocks of quantum field theory within the framework of categorical quantum mechanics. Building upon previous work,…
Higher-order CPM Constructions
Stefano Gogioso
We define a higher-order generalisation of the CPM construction based on arbitrary finite abelian group symmetries of symmetric monoidal categories. We show that our new constructi…
Uniqueness of Composition in Quantum Theory and Linguistics
Bob Coecke, Fabrizio Genovese, Stefano Gogioso +2
We derive a uniqueness result for non-Cartesian composition of systems in a large class of process theories, with important implications for quantum theory and linguistics. Specifi…