Stochastic thermodynamic interpretation of information geometry

Understand

In recent years, the unified theory of information and thermodynamics has been intensively discussed in the context of stochastic thermodynamics.

• The unified theory reveals that information theory would be useful to understand non-stationary dynamics of systems far from equilibrium.
• In this letter, we have found a new link between stochastic thermodynamics and information theory well known as information geometry.
• By applying this link, an information geometric inequality can be interpreted as a thermodynamic uncertainty relationship between speed and thermodynamic cost.