QLunch: On the stability of the quantum Darmois-Skitovich theorem

Speaker: Javier Cuesta, ‎Technische Universität München

Title: On the stability of the quantum Darmois-Skitovich theorem

Abstract:
The Darmois-Skitovich theorem is a simple characterization of the normal distribution in terms of the independence of linear forms. We present a non-commutative version of this theorem in the context of Gaussian bosonic states (GBS), which has a clear physical realization. In this work, we show the robustness of a characterization of these GBS and give explicit estimates on the constants appearing in this stability problem.