Entanglement islands read perfect-tensor entanglement

TL;DR

This paper uses holographic BCFT to simulate black hole information, revealing that entanglement islands naturally form perfect tensor entanglement patterns that determine the entanglement wedge cross-section area.

Contribution

It demonstrates that entanglement islands in semi-classical models inherently exhibit perfect tensor entanglement, linking geometric and entanglement properties.

Findings

Entanglement islands automatically form perfect tensor entanglement patterns.

The perfect tensor entanglement and bipartite entanglement together determine the entanglement wedge cross-section area.

The study connects geometric entanglement measures with quantum information structures in holography.

Abstract

In this paper, we make use of holographic Boundary Conformal Field Theory (BCFT) to simulate the black hole information problem in the semi-classical picture. We investigate the correlation between a portion of Hawking radiation and entanglement islands by the area of an entanglement wedge cross-section. Building on the understanding of the relationship between entanglement wedge cross-sections and perfect tensor entanglement as discussed in reference [1], we make an intriguing observation: in the semi-classical picture, the positioning of an entanglement island automatically yields a pattern of perfect tensor entanglement. Furthermore, the contribution of this perfect tensor entanglement, combined with the bipartite entanglement contribution, precisely determines the area of the entanglement wedge cross-section.