Operator algebras meet Quantum information theory: a survey on factorizable channels and their applications

Magdalena Musat
Factorizable quantum channels, introduced by C. Anantharaman-Delaroche within the framework of operator algebras, have proven to have important applications in the analysis of quantum information theory, leading also to reformulations of the Connes Embedding Problem. I will survey these results, and address the question whether (infinite dimensional) von Neumann algebras are really needed to describe such channels.
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