Abstract for the talk on 08.04.2021 (17:00 h)

Webinar “Analysis, Quantum Fields, and Probability”

Thomas Faulkner (University of Illinois)
Algebraic approach to quantum error correction and the AdS/CFT correspondence

I will discuss the quantum error correction (QEC) approach to the AdS/CFT correspondence from an algebraic point of view. I will study exact QEC codes as models of AdS/CFT and connect these models to Longo-Rehren subnets. I do this by proving the existence of a consistent assignment of conditional expectations acting on the boundary theory algebras. I will also discuss shortcomings of these exact codes that will hopefully be fixed by introducing small errors.

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