Summary:
The primary focus of my current research is to understand no-signaling correlations beyond the finite input/output scenario. Motivated by parallel repetition of non local games, I am studying infinite iterations of finite games and games with memory through the prism of no-signaling correlations over spaces of arbitrary cardinality. I am also interested in quantum information theory and positive operator-valued measures.
Submitted:
Measurable no-signalling correlations, arXiv:2409.17206, with I. G. Todorov and L. Turowska (32 pages).
Distances for operator-valued information channels, to appear in Arkiv for Matematik, arXiv:2409.17052 (17 pages).
In preparation:
Strategies for Cantor games and operator systems, with A. Chatzinikolaou, I. G. Todorov and L. Turowska (37 pages).
Hypergraph isomorphism game and quantum groups, A. Chatzinikolaou, G. Hoefer (30 pages)
Bisynchronous Cantor correlations and compact quantum groups, with A. Chatzinikolaou, I. G. Todorov and L. Turowska (17 pages).
Thesis:
No-signalling correlations in the continuous setting, PhD in Mathematics, University of Delaware (In progress).
Advisor: Ivan G. Todorov
The Vidav-Palmer Theorem and C*-equivalent algebras, MSc in Applied Mathematical Sciences, National Technical University of Athens, March 2021.
Advisor: Nikos Yannakakis