27 citations · 27 across the 10 of their papers we have counts for
9 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…
Coupling capacity in C*-algebras
Adam Skalski, Ivan G. Todorov, Lyudmila Turowska
Given two unital C*-algebras equipped with states and a positive operator in the enveloping von Neumann algebra of their minimal tensor product, we define three parameters that mea…
Reduced spectral synthesis and compact operator synthesis
V. S. Shulman, I. G. Todorov, L. Turowska
We introduce and study the notion of reduced spectral synthesis, which unifies the concepts of spectral synthesis and uniqueness in locally compact groups. We exhibit a number of e…
Perfect strategies for non-signalling games
M. Lupini, L. Mancinska, V. I. Paulsen +5
We unify and consolidate various results about non-signall-ing games, a subclass of non-local two-player one-round games, by introducing and studying several new families of games…
Completely bounded maps and invariant subspaces
M. Alaghmandan, I. G. Todorov, L. Turowska
We provide a description of certain invariance properties of completely bounded bimodule maps in terms of their symbols. If is a locally compact quantum group, we char…
Completely bounded bimodule maps and spectral synthesis
M. Alaghmandan, I. G. Todorov, L. Turowska
We initiate the study of the completely bounded multipliers of the Haagerup tensor product of two copies of the Fourier algebra of a locally compa…