Southwest Quantum Information and Technology

Van Trees information for phase estimation

Presenting Author: Marco Antonio Rodriguez Garcia, Universidad Nacional Autonoma de Mexico
Contributing Author(s): Pablo Barberis Blostein

In the problem of parameter estimation, the Fisher information is a way of measuring the amount of information that a sample carries about an unknown parameter. In the problem of quantum parameter estimation, the Van Trees information is the maximum of the Bayesian analog of Fisher information over the set of POVMs. Moreover, the inverse of the Van Trees information gives us a lower bound for the Bayesian error of estimations. However, the set of POVMs has a complicated mathematical structure; for this reason, the Van Trees information is arduous to calculate. The aim of this work is to present a result that allows us to calculate the Van Trees information for the case of covariant transitive phase estimation.

(Session 5 : Sunday from 5:00pm - 7:00pm)