Wednesday, February 8, 2017 — 9:30 AM EST

Quantum error-correction in black holes

Beni Yoshida, Perimeter Institute

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 quantum butterfly effect in black holes can be interpreted as non-local encoding (scrambling) of quantum information and can be quantitatively measured by out-of-time ordered correlations. Finally, motivated by the black-hole rewall paradox, I will propose a way of measuring the quantum circuit complexity to decode the Hawking radiation.

Location 
MC - Mathematics & Computer Building
5501
200 University Avenue West

Waterloo, ON N2L 3G1
Canada

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