Entanglement is one of the crucial notions in quantum information theory. Mathematically, it means that some positive elements in the tensor product of two matrix algebras cannot be written as sums of tensor products of positive elements. Such a decomposition is the defining feature of separable elements. I will discuss the relationship between the size of the set of separable elements and the completely bounded norms of positive maps. I will also explore what happens for infinite dimensional C*-algebras. Joint work with Mizanur Rahaman.
Meeting Id: 963 9819 9145 Password: 268545