PIRSA:16040057

Entanglement, Gravity, and Quantum Error Correction

Dong, X. (2016). Entanglement, Gravity, and Quantum Error Correction. Perimeter Institute. https://pirsa.org/16040057

Dong, Xi. Entanglement, Gravity, and Quantum Error Correction. Perimeter Institute, Apr. 19, 2016, https://pirsa.org/16040057 

          @misc{ pirsa_PIRSA:16040057,
            doi = {10.48660/16040057},
            url = {https://pirsa.org/16040057},
            author = {Dong, Xi},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Entanglement, Gravity, and Quantum Error Correction},
            publisher = {Perimeter Institute},
            year = {2016},
            month = {apr},
            note = {PIRSA:16040057 see, \url{https://pirsa.org}}
          }

Xi Dong Institute for Advanced Study (IAS)

DOI 10.48660/16040057
Collection
Talk Type Scientific Series
Subject

Abstract

Over the last few years it has become increasingly clear that there is a deep connection between quantum gravity and quantum information. The connection goes back to the discovery that black holes carry entropy with an amount given by the horizon area. I will present evidence that this is only the tip of the iceberg, and prove that a similar area law applies to more general Renyi entanglement entropies. To demonstrate the simplicity of this prescription, I will use it to calculate the mutual Renyi information between two disks of arbitrary dimension. Furthermore, I will provide quantum corrections to the area law and use it to solve the following important problem: what region of the dual spacetime is described by a subregion in a holographic theory? The answer to this question lies in a new perspective that I will advocate: holography is a quantum error correcting code.