Abstract
A lot of work has recently been put into finding device-independent certification schemes for composite quantum systems. Most of them are however restricted to lower-dimensional systems, in particular two-qubit states. In this talk, I will first explain the basics of device-independent certification of quantum systems. Then, I will present some of our recent results that certify entangled quantum states of arbitrary local dimension and large classes of arbitrary outcome quantum measurements. Finally, I will present a scheme to certify the optimal amount of randomness that can be generated from arbitrary dimensional quantum systems.
