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Title: Fluctuation theorems with retrodiction rather than reverse processes
Authors: Aw Cenxin Clive
Buscemi, F.
Valerio Scarani 
Issue Date: 1-Dec-2021
Publisher: American Institute of Physics Inc.
Citation: Aw Cenxin Clive, Buscemi, F., Valerio Scarani (2021-12-01). Fluctuation theorems with retrodiction rather than reverse processes. AVS Quantum Science 3 (4) : 45601. ScholarBank@NUS Repository.
Rights: Attribution 4.0 International
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. © 2021 Author(s).
Source Title: AVS Quantum Science
ISSN: 2639-0213
DOI: 10.1116/5.0060893
Rights: Attribution 4.0 International
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