Stochastic Time Evolution, Information Geometry, and the Cramér-Rao Bound
Sosuke Ito, Andreas Dechant
Abstract
The information encoded in a stochastic physical system sets a limit on how fast any thermodynamic observable can change, thus making a connection between the abstract concept of information and physical quantities such as heat and work.
Topics & Concepts
ObservableLimit (mathematics)Statistical physicsConnection (principal bundle)Upper and lower boundsComputer sciencePhysical systemStochastic processInformation theoryThermodynamic limitMathematicsApplied mathematicsSet (abstract data type)Mathematical optimizationPhysicsAction (physics)Advanced Thermodynamics and Statistical MechanicsStatistical Mechanics and EntropyNeural dynamics and brain function