Speaker: Benoit Collins (Kyoto University)
Title: Quantum channels from the free orthogonal quantum group
Time/Date: 4:45-6:15pm, Wednesday, January 6, 2016
Room: 118 Math. Sci. Building
Abstract: given two finite dimensional Hilbert spaces V1 and V2, a crucial problem in quantum information theory is to find vector subspaces H of V1⊗ V2 of large relative dimension that are highly entangled. The most powerful methods available so far for this purpose use random techniques. However, like in classical information theory, there is a need and an interest for non-random examples. In this talk, we will explain why the representation theory of the free orthogonal quantum group yields new interesting examples --- thanks, in particular, to the rapid decay property for quantum groups. In turn, we will study the properties of associated quantum channels. This is a joint work in progress with Michael Brannan (Texas A & M).