Operator Systems and Correlation Sets

Postgraduate Thesis uoadl:3218767 267 Read counter

Unit:
Κατεύθυνση Θεωρητικά Μαθηματικά
Library of the School of Science
Deposit date:
2022-06-15
Year:
2022
Author:
Bouas Vasilis
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.
Original Title:
Operator Systems and Correlation Sets
Languages:
English
Translated title:
Operator Systems and Correlation Sets
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.
Main subject category:
Science
Keywords:
Operator Systems, Tensor products of operator systems, Quantum Information Theory, Non-local games
Index:
No
Number of index pages:
0
Contains images:
No
Number of references:
21
Number of pages:
114
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