Apparaît dans la collection : Probabilistic techniques and Quantum Information Theory

I will discuss recent results concerning almost optimal entropic and metric (total-variation and Hellinger) uncertainty relations which hold with high probability for measurements given by i. i. d. Haar distributed random unitary matrices. If time permits I will also discuss some applications to information locking and data hiding. The talk will be partially based on joint work with Rafal Latala, Zbigniew Puchala and Karol Zyczkowski.