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Revisiting holographic codes with fractal-like boundary erasures

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arxiv 2411.02825 v1 pith:2GYVHXKN submitted 2024-11-05 hep-th quant-ph

classification hep-thquant-ph
keywords citecodeholographicinfinitepropertiesreconstructionstraightwedges
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abstract

In this paper we investigate the code properties of holographic fractal geometries initiated in \cite{Pastawski:2016qrs}. We study reconstruction wedges in $AdS_3/CFT_2$ for black hole backgrounds, which are in qualitative agreement with the vacuum-AdS approximation using generalized entanglement entropy in \cite{Bao:2022tgv}. In higher dimensions, we study reconstruction wedges for the infinite, straight strip in $AdS_{d+1}/CFT_{d}$ and clarify the roles of `straight' and `infinite' in their code properties. Lastly, we comment on uberholography from the perspective of complexity transfer and one-shot holography.

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Cited by 2 Pith papers

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  1. More on the upper bound of holographic n-partite information

    hep-th 2024-11 conditional novelty 7.0 of 10

    The upper bound of holographic conditional mutual information equals twice the entanglement of state-constrained purification and diverges in the many-interval limit, revealing abundant multipartite entanglement.

  2. Phase transitions and uberholography of holographic pure-state geometries

    hep-th 2026-07 conditional novelty 6.0 of 10

    A cross-ratio threshold relation η'/η = e^{ΔH/2} governs entanglement-wedge phase transitions on pure-state holographic geometries, and uberholography's fractal dimension α ≈ 0.786 persists on asymptotic boundaries bu...

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