In this presentation we take a different approach, by discussing a fact that was partly overseen in the literature, namely the inherently dynamical nature of Fisher information. In order to do so, we explore three particularly emblematic examples: first, the equivalence between positivity of a map and the contraction of Fisher information; second, the possibility of defining Markovianity (CP-divisibility) in the same manner; and finally, the definition of detailed balance as self-adjointness with respect to the Fisher information metric.
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Speaker: Matteo Scandi (Institute of Photonic Sciences, Castelldefels, Spain)