Fluctuation Theorems with Retrodiction rather than Reverse Processes
arXiv:2106.08589 · doi:10.1116/5.0060893
Abstract
Irreversibility is usually captured by a comparison between the process that happens and a corresponding "reverse process". In the last decades, this comparison has been extensively studied through fluctuation relations. Here we revisit fluctuation relations from the standpoint, suggested decades ago by Watanabe, that the comparison should involve the prediction and the retrodiction on the unique process, rather than two processes. We identify a necessary and sufficient condition for a retrodictive reading of a fluctuation relation. The retrodictive narrative also brings to the fore the possibility of deriving fluctuation relations based on various statistical divergences, and clarifies some of the traditional assumptions as arising from the choice of a reference prior.
References in corpus (21)
- A nonequilibrium equality for free energy differences
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Colloquium. Quantum Fluctuation Relations: Foundations and Applications
- Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies
- Three detailed fluctuation theorems
- Quantum Mechanics as Quantum Information (and only a little more)
- Towards a Formulation of Quantum Theory as a Causally Neutral Theory of Bayesian Inference
- Past quantum states
- Quantum Operation Time Reversal
- Thermodynamic and Logical Reversibilities Revisited
- Clean Positive Operator Valued Measures
- Jarzynski Relations for Quantum Systems and Some Applications
- Fluctuation Theorems for a Quantum Channel
- Universal recovery map for approximate Markov chains
- Fluctuation theorems from Bayesian retrodiction
- Invertible Quantum Operations and Perfect Encryption of Quantum States
- Retrodiction beyond the Heisenberg uncertainty relation
- Dynamical maps, quantum detailed balance and Petz recovery map
- Balancing Error and Dissipation in Computing
- Fluctuation Relations in Stochastic Thermodynamics
- Quantum retrodiction made fully symmetric