Titre: Bell theorem and its generalization: From foundations
to applications
Abstract: Quantum correlations are obtained when
multiple parties perform independent measurements
on a shared quantum state. Bell’s seminal theorem
proves that certain correlations predicted by quantum
theory resist explanations in terms of any Local Hidden
Variable theory based on shared randomness. I’ll first
review the Bell theorem. Then, some of its foundational
main consequences (e.g., no “reasonable” theory of
information replacing quantum information theory can
allow for cloning of information) and some of its concrete
applications (e.g., device independent cryptography).
At last, I will discuss recent generalization of this theorem
in the context of causal quantum networks, in which
multiple parties perform independent measurements
on several, independent quantum states. In particular,
I’ll show that Real Quantum Theory (the information theory
obtained replacing complex by real numbers in standard
Quantum Information Theory) can be ruled out by
a Bell-like experiment.
