Behind the Horizon in AdS/CFT

TL;DR

This paper extends the construction of interior black hole operators in AdS/CFT to more general states, using quantum error correction and entanglement with an external system to address state dependence.

Contribution

It generalizes previous proposals for black hole interior operators in AdS/CFT to non-maximally mixed states, incorporating an external entangled system to remove state dependence.

Findings

Extended the operator construction to arbitrary non-maximally mixed states.

Proposed a method to eliminate state dependence via an external entangled system.

Built on quantum error correction principles for holographic duality.

Abstract

We extend the recent proposal of Papadodimas and Raju of a CFT construction of operators inside the black hole interior to arbitrary non-maximally mixed states. Our construction builds on the general prescription given in earlier work, based on ideas from quantum error correction. We indicate how the CFT state dependence of the interior modes can be removed by introducing an external system, such as an observer, that is entangled with the CFT.