PIRSA:20110065

The holographic map as a conditional expectation

APA

Faulkner, T. (2020). The holographic map as a conditional expectation. Perimeter Institute. https://pirsa.org/20110065

MLA

Faulkner, Thomas. The holographic map as a conditional expectation. Perimeter Institute, Nov. 24, 2020, https://pirsa.org/20110065

BibTex

          @misc{ pirsa_20110065,
            doi = {},
            url = {https://pirsa.org/20110065},
            author = {Faulkner, Thomas},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {The holographic map as a conditional expectation},
            publisher = {Perimeter Institute},
            year = {2020},
            month = {nov},
            note = {PIRSA:20110065 see, \url{https://pirsa.org}}
          }
          

Abstract

I will study quantum error correcting codes that model aspects of the AdS/CFT correspondence. In an algebraic approach I will demonstrate the existence of a consistent assignment, to each boundary region, of conditional expectations that preserve the code subspace. This allows us to give simple derivations of well known results for these holographic code, and also to derive a few new results. 

I will also make a connection to the theory of QFT super-selection sectors.