Application of Petz map to the bulk reconstruction problem in AdS/CFT

Abstract

The global bulk reconstruction procedure in the context of the AdS/CFT correspondence was accomplished during the first decade of the 21st century. This global reconstruction technique can be utilized to perform entanglement wedge reconstruction in Rindler coordinates, where access is limited to the entanglement wedge within the Cauchy slice and the corresponding boundary sub-region. Recently, entanglement wedge reconstruction has been achieved using a universal quantum recovery channel, but only for true free fields. We have observed that the recovery channel for a maximally mixed reference state corresponds to a first-order change in the excited state modular Hamiltonian, accompanied by a scaling factor dimension of code space.