Quantum error correction in the black hole interior

• DOI: 10.1007/jhep07(2023)189
• Publication Date: 2023-07-26T19:03:16Z
• Authors: Vijay Balasubrama...; Arjun Kar; Cathy Li; Onkar Parrikar
• Keywords: Black hole (networking)

A bstract We study the quantum error correction properties of black hole interior in a toy model for an evaporating hole: Jackiw-Teitelboim gravity entangled with non-gravitational bath. After Page time, degrees freedom this system are encoded bath Hilbert space. use gravitational path integral to show that density matrix is correctable against action operations on which (i) do not have prior access details microstates, and (ii) large, negative coherent information respect maximally mixed state bath, lower bound controlled by entropy code subspace dimension. Thus, encoding radiation robust generic, low-rank operations. For erasure errors, comes within O (1) distance saturating Singleton tolerance correcting codes. typical errors corrupt interior, they must rank large multiple space dimension, precise coefficient set