Fluctuation theorems from Bayesian retrodiction

Quantitative studies of irreversibility in statistical mechanics often involve the consideration a reverse process, whose definition has been object many discussions, particular for quantum mechanical systems. Here we show that channel very naturally arises from Bayesian retrodiction, both classical and theories. Previous paradigmatic results, such as Jarzynski's equality, Crooks' fluctuation theorem, Tasaki's two-measurement theorem closed driven systems, are all shown to be consistent with retrodictive arguments. Also, various corrections were introduced deal nonequilibrium steady states or open systems justified on general grounds remnants retrodiction. More generally, process constructed logical inference, relations acquire much broader form scope.