Quantum intersection with applications to hypothesis testing

In this talk we will discuss the problem of intersection of subspaces in the context of measurement of a quantum state. We will see that this problem is very closely related with Jordan’s Decomposition theorem for a pair of projectors. As an application we will discuss the converse of Quantum Stein’s lemma which gives the best exponent for the decay of missed detection.Dr. Naqueeb Ahmad Warsi; Electronics and Communication Sciences Unit, Indian Statistical Institute, Kolkata