3 papers
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…
quant-ph2024
Measurable No-signalling Correlations
Georgios Baziotis, Ivan G. Todorov, Lyudmila Turowska
We study no-signalling correlations, defined over a quadruple of second countable compact Hausdorff spaces. Using operator-valued information channels over abstract alphabets, we d…
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…