4 papers
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…
An operator system approach to self-testing
Jason Crann, Ivan G. Todorov, Lyudmila Turowska
We develop a general framework for self-testing, in which bipartite correlations are described by states on the commuting tensor product of a pair of operator systems. We propose a…
Absolutely dilatable bimodule maps
Alexandros Chatzinikolaou, Ivan G. Todorov, Lyudmila Turowska
We characterise absolutely dilatable completely positive maps on the space of all bounded operators on a Hilbert space that are also bimodular over a given von Neumann algebra as r…
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…