8 papers
Quantum non-local games: Quantum relations, projection lattices and rule operators
Alexandros Chatzinikolaou
Quantum non-local games with quantum inputs or outputs have been formulated in several different languages, including rank-one and quantum XOR games, support maps between projectio…
Morita equivalence for quantum graphs
Alexandros Chatzinikolaou, Gage Hoefer, Nikolaos Koutsonikos-Kouloumpis +1
We introduce an operator-algebraic framework for Morita equivalence of quantum graphs based on -equivalence of operator systems introduced by Eleftherakis, Kakariadis and Todoro…
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…
On the embeddings of selfadjoint operator spaces
Alexandros Chatzinikolaou, Evgenios T. A. Kakariadis, Se-Jin Kim +1
We investigate when a map on a selfadjoint operator space is an embedding, i.e., when its unitisation in the sense of Werner is completely isometric. Combining with results 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…
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…
Operator systems, contextuality and non-locality
Michalis Anoussis, Alexandros Chatzinikolaou, Ivan G. Todorov
We introduce an operator system, universal for the probabilistic models of a contextuality scenario, and identify its maximal C*-cover via the right C*-algebra of a canonical terna…
On coproducts of operator -systems
Alexandros Chatzinikolaou
Given a unital -algebra , we prove the existence of the coproduct of two faithful operator -systems. We show that we can either consid…