Quantum error-correction and black holes


Yoshida, B. (2017). Quantum error-correction and black holes. Perimeter Institute. https://pirsa.org/17020102


Yoshida, Beni. Quantum error-correction and black holes. Perimeter Institute, Feb. 22, 2017, https://pirsa.org/17020102


          @misc{ pirsa_PIRSA:17020102,
            doi = {10.48660/17020102},
            url = {https://pirsa.org/17020102},
            author = {Yoshida, Beni},
            keywords = {Other},
            language = {en},
            title = {Quantum error-correction and black holes},
            publisher = {Perimeter Institute},
            year = {2017},
            month = {feb},
            note = {PIRSA:17020102 see, \url{https://pirsa.org}}

Beni Yoshida Perimeter Institute for Theoretical Physics


It is commonly believed that quantum information is not lost in a black hole. Instead, it is encoded into non-local degrees of freedom in some clever way; like a quantum error-correcting code. In this talk, I will discuss recent attempts to resolve some paradoxes in quantum gravity by using the theory of quantum error-correction. First, I will introduce a simple toy model of the AdS/CFT correspondence based on tensor networks and demonstrate that the correspondence between the AdS gravity and CFT is indeed a realization of quantum codes. I will then show that the butterfly effect in black holes can be interpreted as non-local encoding of quantum information and can be quantitatively measured by out-of-time ordered correlations. Finally, I will discuss how out-of-time ordered correlations, measured outside the black hole horizon, may probe smoothness of the geometry across the horizon.