Southwest Quantum Information and Technology

Van Trees information in pure quantum states

Presenting Author: Marco Rodriguez , National Autonomous University of Mexico
Contributing Author(s): Pablo Barberis Blostein

In the context of parameter estimation in quantum systems, the Van Trees information is the maximization of the generalized Fisher information over the set of all POVMs. The Van Trees information gives us a bayesian lower bound of a quantum estimator. Since the set of POVMs is not countable, the Van Trees information is too difficult to calculate. However, in pure quantum states, the calculation of Van Trees information is possible to attain. The aim of this work is to present a theorem that allow us to calculate the Van Trees information when the state of our quantum system is pure. We proved that the maximization of the generalized Fisher information over the set of all POVMs is equivalent to maximize over a subset of extremal two outcomes-POVMs.

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