Fluctuation theorems for arbitrary measurement and feedback schemes

Fluctuation theorems (FT) are powerful relations that constrain the behavior of systems far from equilibrium. They can be understood as generalizations of the second law of thermodynamics to scenarios where fluctuations matter. Quantum FTs including information are of particular interest because, on the one hand, they shed insight into monitored quantum systems which are promising for emerging quantum technologies and, on the other hand, because they provide fundamental insight into the interplay between thermodynamics and information theory. In this talk, I will present a detailed FT that holds for arbitrary measurement and feedback schemes both in the classical as well as in the quantum regime. The information term appearing in the FT is given by the coarse-grained entropy that is inferable from the measurement outcomes alone. As a consequence, the associated second law of information thermodynamics provides an experimentally accessible bound on the entropy production.