Professor Reinhard F. Werner (Leibniz Universität Hannover, Germany)
Title: An overview of measurement uncertainty
I will review some recent results on measurement uncertainty relations, i.e., quantitative obstructions to the joint measurability of two or more observables, which are complimentary to the usual preparation uncertainties which bar the existence of preparations which are simultaneaously sharp for two observables. The basic definition of measurement uncertainty uses transport distance, and Kantorovich duality to turn the problem of determining optimal bounds into a semidefinite program. For projection valued observables an alternative definition based on the idea of calibration is available. I then sketch a proof that the preparation uncertainty bounds are lower than the calibration measurement bounds are lower than the measurement uncertainty bounds, but that all these coincide in the case of Fourier-related pairs of observables.
Reinhard F. Werner is a Professor at
the Institute of Theoretical Physics at the Leibniz Universität
Hannover (Germany). He is well known for his research on
the conceptual and mathematical foundations of quantum
theory. Professor Werner made outstanding contributions to
quantum information theory, as well as quantum statistical
mechanics and the theory of time in quantum mechanics.
Aside of his many ground-breaking results in mathematical
physics, his leading role in the scientific community of
quantum information is demonstrated by being a contributing
author of the European road map for research in the field of
Quantum Information Sciences and Technology which is
identified as a key technology of the 21st century.