Holographic entanglement is represented by geodesic threads whose fluxes equal half conditional mutual information, and kinematic space is treated as the input board of a quantum circuit that reproduces holographic complexity.
Entanglement islands read perfect-tensor entanglement
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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.
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The thread embodiment of holographic quantum entanglement
Holographic entanglement is represented by geodesic threads whose fluxes equal half conditional mutual information, and kinematic space is treated as the input board of a quantum circuit that reproduces holographic complexity.