Speaker: Nicholas LaRacuente (Indiana University)
Title: The Haagerup Reduction for Transferring Quantum Information Results
Abstract: In quantum information, it is common to be able to prove results in one setting that would be desirable in another. One class of examples includes universal state recovery after noisy channels and converse rates on hypothesis testing, which were known for finite-dimensional matrix algebras but desired in the type III von Neumann algebras of quantum field theories. Another seeks to generalize entropy decay estimates from trace-symmetric to GNS-symmetric quantum channels and beyond. Our primary focus is the Haagerup reduction method, used in joint work with Gao, Junge, and Li for finite-to-infinite and tracial-to-GNS reductions. If time permits, I may also discuss superoperator norm and distance comparisons.
General information: This is the weekly Quantum Working Group Seminar covering topics in quantum information theory and operator algebra.