AG Mathematische Physik, Adriano Chialastri (SISSA, Trieste): On entanglement measures in quantum field theory: von Neumann entropy and Bell’s inequalities

Adriano Chialastri (SISSA,
Trieste)

On entanglement measures in quantum field theory: von Neumann entropy
and Bell's inequalities

Abstract:

Entanglement as a topic has its origins in Einstein, Podolsky and
Rosen's 1935 work, which sparked a decades-long debate with its
theoretical turning point in Bell's 1964 work, where the so-called
Bell's inequalities were born. However, throughout the years, there has
been a continuous interest in entanglement measures within the context
of quantum field theory (QFT), where different quantities like von
Neumann entropy and relative entropy have long been studied.

In this talk, we will discuss about entanglement measures within the
formalism of algebraic QFT, which provides a solid mathematical
background for them. In particular, we will analyze von Neumann entropy,
with all its problems in QFT, and its relations with maximal Bell
correlation, which is an entanglement measure quantifying the violation
of Bell's inequalities.

This talk is based on a joint work with S. Carpi (University of Rome Tor
Vergata).