FLUCTUATION RELATIONS USING BAYESIAN RETRODICTION: LINKS WITH OTHER FLUCTUATION RELATIONS AND THE CHOICE OF REFERENCE PRIOR IN DIFFERENT CONTEXTS

Abstract

Fluctuation relations (FR) are used to study irreversibility and usually involve the comparison between a process and its corresponding "reverse" process. Recently, Bayesian retrodiction (BR) has been used to derive classical and quantum FR, and expand their application domain. This work explores the choice of the reference prior in this context for different scenarios, the minimization of the distance between the forward and the reverse processes, and the reference prior chosen in experiments to verify the FR. We also investigate other FR found in the literature, such as those by Hatano and Sasa, and connect them to the BR formalism.