HET SEMINAR<br>Bulk Locality and Quantum Error Correction in AdS/CFT

I will point out a connection between the emergence of bulk locality in AdS/CFT and the theory of quantum error correction.  Bulk notions such as Bogoliubov transformations, location in the radial direction, and the holographic entropy bound all have natural CFT interpretations in the language of quantum error correction.  Interestingly, the version of quantum error correction which is best suited to analyzing AdS/CFT is the somewhat nonstandard "operator algebra quantum error correction" of Beny, Kempf, and Kribs.  This connection gives a precise formulation of the idea of "subregion-subregion" duality in AdS/CFT, and clarifies the limits of its validity.