Supervisors info:
Αριστείδης Κατάβολος , Ομότιμος Καθηγητής, Τμήμα Μαθηματικών, Σχολή Θετικών Επιστημών ΕΚΠΑ
Μιχαήλ Ανούσης , Καθηγητής, Τμήμα Μαθηματικών, Πανεπιστήμιο Αιγαίου
Ιβάν Τοντορώφ , Καθηγητής, School of Mathematics and Physics, Queen's University Belfast U.K. & Department of Mathematical Sciences, University of Delaware, U.S.A.
Summary:
In the current paper we study the theory of non-local games through Operator Theory methods. We will see that the tensor product of two operator systems can be equipped with suitable matrix orderings making it an operator system. Three such matrix orderings are presented, these define the maximal, the minimal and the commuting operator system tensor products. Then we examine the connection between the states on the aforementioned tensor products of some operator systems and the elements of several classes of non-signalling correlations.
Keywords:
Operator Systems, Tensor products of operator systems, Quantum Information Theory, Non-local games
