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math.OA2025
Cantor correlations I. Operator systems and Cantor games
Georgios Baziotis, Alexandros Chatzinikolaou, Ivan G. Todorov +1
We study no-signalling correlations over Cantor spaces, placing the product of infinitely many copies of a finite non-local game in a unified general setup. We define the subclasse…
math.OA2025
The hypergraph isomorphism game, Hopf algebras and Galois extensions
Georgios Baziotis, Alexandros Chatzinikolaou, Gage Hoefer
We develop an algebraic and operational framework for quantum isomorphisms of hypergraphs, using tools from compact quantum group theory. We introduce a new synchronous version of…
math.OA2024
Distances for Operator-valued Information Channels
Georgios Baziotis
We introduce three metrics on the set of quantum probability measures over a compact Hausdorff space and characterize them in terms of the completely bounded norm of the correspond…