4 papers
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…
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…
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…
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…