Southwest Quantum Information and Technology

One from many: Scalar estimation in a multiparameter context

Presenting Author: Jonathan Gross, University of New Mexico CQuIC
Contributing Author(s): Carlton M. Caves

It is difficult to formulate achievable sensitivity bounds for quantum multiparameter estimation. Consider a specialized case: many parameters of a Hamiltonian are unknown and one seeks an estimate for a specific linear combination of these parameters. This problem exhibits genuine multiparameter behavior, though it is superficially similar to single-parameter estimation. The application of geometric reasoning proves the conditions, necessary and sufficient, for saturating the fundamental and attainable bound in this context.

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