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Why many-partite entanglement is essential for holography
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We argue that many-partite entanglement is ubiquitous in holography and holographic quantum error correction codes. We base our claim on genuine multi-entropy, a new measure for multi-partite entanglement. We also discuss a connection between the bulk IR reconstruction and many-partite entanglement on a large number of boundary subregions.
Forward citations
Cited by 3 Pith papers
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Multi-entropy and the Dihedral Measures at Quantum Critical Points
The multi-entropy excess κ_2^(3) vanishes for the massless free scalar CFT, an exception to the general c/4 log 2 result, while the Ising model matches it, and new n=3 and n=4 values are proposed for the scalar theory.
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The Entanglement Wedge Polygon
The paper defines the entanglement wedge polygon as the intersection of entanglement wedges external to individual homology regions and studies its topological and geometric properties in AdS examples.
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Black hole as a multipartite entangler: multi-entropy in AdS${}_3$/CFT${}_2$
In pure BTZ black-hole states the genuine tripartite multi-entropy grows linearly with subsystem size at high temperature (volume law), peaks at (1/6) of the Bekenstein-Hawking entropy plus a universal constant, and c...
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