Axioms for retrodiction: achieving time-reversal symmetry with a prior

We propose a category-theoretic definition of retrodiction and use it to exhibit a time-reversal symmetry for all quantum channels. We do this by introducing retrodiction families and functors, which capture many intuitive properties that retrodiction should satisfy and are general enough to encompa...

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Bibliographic Details
Main Authors: Arthur J. Parzygnat, Francesco Buscemi
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2023-05-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2023-05-23-1013/pdf/