Unit:
Κατεύθυνση Θεωρητικά ΜαθηματικάLibrary of the School of Science
Author:
Chatzinikolaou Alexandros
Supervisors info:
Δημήτριος Γατζούρας, καθηγητής τμήματος Μαθηματικών, Εθνικό και Καποδιστριακό Πανεπιστήμιο Αθηνών
Original Title:
Quantum nonlocality and operator space theory
Translated title:
Quantum nonlocality and operator space theory
Summary:
In this study we present the connection between the theory of Quantum
Nonlocality and the Operator Space Theory. Nonlocality refers to the study
of natural phenomena that violate the principle of locality in physics and
which, using the mathematical framework established by Bell, is reduced
to the study of the so-called Bell functionals. More specifically, defining the
classical and quantum value of such a function, certain inequalities arise,
called Bell inequalities. The study of nonlocality focuses on the cases in
which we have a violation of these inequalities, that is, when the quantum
value exceeds the corresponding classical one. Using tools from Banach
space theory and Operator Space Theory we correlate the values of Bell
functionals with specific norms in these spaces.
Main subject category:
Science
Keywords:
Operator space theory, Quantum nonlocality, Quantum information theory, Bell inequalities, tensor norms, XOR games
