Probabilistic Operator Algebra Seminar: Quantum correlations, tensor norms, and factorizable quantum channels

Seminar | April 27 | 10:30 a.m.-12 p.m. | 736 Evans Hall

 Magdalena Musat, University of Copenhagen

 Department of Mathematics

In joint work with Haagerup, we established in 2015 a reformulation of the Connes embedding problem in terms of an asymptotic property of quantum channels posessing a certain factorizability property, introduced by Anantharaman-Delaroche in the setting of Markov maps between von Neumann algebras. I will discuss new results concerning the class of channels which exactly factor through matrix algebras, and a number of open problems. I will also discuss ongoing work, joint with Brown and Rordam, related to the remarkable recent breakthrough of Slofstra concerning sets of quantum correlations.

 dvv@math.berkeley.edu