Reciprocity Relations for Quantum Systems Based on Fisher Information

JUAN MANUEL PUJOL; MARIELA PORTESI; FEDERICO HOLIK

Conferencia; 41st MaxEnt2022 Conference; 2022

We study reciprocity relations between fluctuations of the probability distributions corresponding to position and momentum, and other observables, in quantum theory. These kinds ofrelations have been previously studied in terms of quantifiers based on the Lipschitz constants of theconcomitant distributions. However, it turned out that they were not valid for all states. Here, we askthe following question: can those relations be described using other quantifiers? By appealing to theFisher information, we study reciprocity relations for different families of states. In particular, welook for a connection of this problem with previous works.