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Entanglement islands read perfect-tensor entanglement

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arxiv 2312.14486 v1 pith:TS7JJTPR submitted 2023-12-22 hep-th

classification hep-th
keywords entanglementperfecttensorwedgeareacontributioncross-sectionislands
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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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  1. The thread embodiment of holographic quantum entanglement

    hep-th 2025-01 conditional novelty 5.0 of 10

    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 co...

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