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Passing through the Firewall

Erik Verlinde, Herman Verlinde

TL;DR

The paper addresses the firewall paradox by proposing balanced holography, where black hole information is carried by non-local correlations between interior and exterior degrees of freedom and is distributed evenly across $N$ real (logical) and $N$ virtual qubits, with $S_{BH}=N\log 2$. It introduces a universal entanglement-swap unitary ${\bf U}_{QT}$ that unitarily transfers information from inside to outside, effectively removing the firewall while preserving a smooth horizon. The authors provide explicit qubit-level constructions (CNOT-based mappings and Bogoliubov transforms) and vacuum conditions that render the horizon locally vacuum for infalling observers. An AdS/CFT embedding with an auxiliary purification space and a state-independent disentangler ${\bf U}_{QT}$ is outlined, connecting the balanced holography picture to holographic RG and fuzzball concepts and offering a concrete path to realize information balance in holographic theories.

Abstract

We propose that black hole information is encoded in non-local correlations between microscopic interior and exterior degrees of freedom. We give a simple qubit representation of this proposal, and show herein that for every black hole state, the apparent firewall can be removed via a universal, state independent unitary transformation. A central element in our discussion is the distinction between virtual qubits, which are in a specified vacuum state, and real qubits, that carry the free quantum information of the black hole. We outline how our proposal may be realized in AdS/CFT

Passing through the Firewall

TL;DR

The paper addresses the firewall paradox by proposing balanced holography, where black hole information is carried by non-local correlations between interior and exterior degrees of freedom and is distributed evenly across real (logical) and virtual qubits, with . It introduces a universal entanglement-swap unitary that unitarily transfers information from inside to outside, effectively removing the firewall while preserving a smooth horizon. The authors provide explicit qubit-level constructions (CNOT-based mappings and Bogoliubov transforms) and vacuum conditions that render the horizon locally vacuum for infalling observers. An AdS/CFT embedding with an auxiliary purification space and a state-independent disentangler is outlined, connecting the balanced holography picture to holographic RG and fuzzball concepts and offering a concrete path to realize information balance in holographic theories.

Abstract

We propose that black hole information is encoded in non-local correlations between microscopic interior and exterior degrees of freedom. We give a simple qubit representation of this proposal, and show herein that for every black hole state, the apparent firewall can be removed via a universal, state independent unitary transformation. A central element in our discussion is the distinction between virtual qubits, which are in a specified vacuum state, and real qubits, that carry the free quantum information of the black hole. We outline how our proposal may be realized in AdS/CFT

Paper Structure

This paper contains 6 sections, 20 equations, 1 figure.

Figures (1)

  • Figure 1: The reduction from a balanced black hole state to a logical qubit state proceed via a unitary coarse graining step, similar to that used in MERA mera. The virtual qubits control the binary state of the coarse grainer. The light and dark blue circles are entangled interior and exterior qubits.