Holographic AME states in black hole interiors

TL;DR

This paper proposes that the special extremal slice inside an AdS black hole corresponds to an absolutely maximally entangled (AME) state, supported by holographic entropy calculations, linking gravity and quantum entanglement.

Contribution

It establishes a duality between a black hole interior slice and an AME state, providing new insights into holographic entanglement and quantum gravity.

Findings

Holographic n-th Renyi entropies are n-independent for bipartite subsystems.

Supports the emergence of random structures in holography.

Provides a gravity-based construction of AME states in infinite-volume systems.

Abstract

We argue that the special extremal slice inside an AdS black hole is dual to an absolutely maximally entangled (AME) state. We demonstrate this by confirming the $n$-independence of holographic $n$-th Renyi entropies for any bi-partite subsystems. Our result gives an AME state in an infinite-volume system, where the local bond dimension is set by the black hole entropy. In particular, our construction provides concrete support from the gravity side for the emergence of random structures and an infinite-dimensional Hilbert space in recent non-isometric holographic codes.