Free polycategories for unitary supermaps of arbitrary dimension

M Wilson, G Chiribella - arxiv preprint arxiv:2207.09180, 2022 - arxiv.org
We provide a construction for holes into which morphisms of abstract symmetric monoidal
categories can be inserted, termed the polyslot construction pslot [C], and identify a sub …

Fibre optics

D Braithwaite, M Capucci, B Gavranović… - arxiv preprint arxiv …, 2021 - arxiv.org
Lenses, optics and dependent lenses (or equivalently morphisms of containers, or
equivalently natural transformations of polynomial functors) are all widely used in applied …

[PDF][PDF] Polycategories of Supermaps on Monoidal Categories

M Wilson, G Chiribella - 2023 - qpl2023.github.io
Polycategories of Supermaps on Monoidal Categories Page 1 POLYCATEGORIES OF
SUPERMAPS ON MONOIDAL CATEGORIES Matt Wilson1,2 Giulio Chiribella2,3,4,5 July 17 …

[PDF][PDF] Categorical Cryptoeconomics

M Swan - researchgate.net
We discuss blockchain formal methods and propose category theory as the mathematics of
the smart network stack and valuation in the DeFi economy. Financial markets are …