Quantum Fisher Information and its dynamical nature

Understand

The importance of the quantum Fisher information metric is testified by the number of applications that this has in very different fields, ranging from hypothesis testing to metrology, passing through thermodynamics.

• Still, from the rich range of possible quantum Fisher information, only a handful are typically used and studied.
• This review aims at collecting a number of results scattered in the literature that can be useful to people who begin the study of Fisher information and to those who are already working on it to have a more organic understanding of the topic.
• Moreover, we complement the review with new results about the relation between Fisher information and physical evolutions.