Speaker
Mateusz Wasilewski, IMPAN, Warsaw
Abstract
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. Existence of 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.
Mateusz Wasilewski, IMPAN, Warsaw
Abstract
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. Existence of 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.