Reconstruction wedges in $AdS/CFT$ with boundary fractallike structures

Abstract

In this work, we show the robustness of uberholography and its associated quantum error correcting code against the breakdown of entanglement wedge in the presence of highly entropic mixed states in the bulk. We show that for Cantor-set-like erasure in the boundary in $Ad{S}_3/CF{T}_2$, the code distance is independent of the mixed-state entropy in the bulk in the $m\to \infty$ limit. We also show that for a Sierpinski triangle shaped boundary subregion with fractal boundary erasures in $Ad{S}_4/CF{T}_3$, bulk reconstruction is possible in the presence of highly entropic mixed states in the bulk in the large $m$ regime.

Errors corrected. Journal version

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Cited by in corpus (3)

• Subregion duality, wedge classification and no global symmetries in AdS/CFT
• Revisiting holographic codes with fractal-like boundary erasures
• Exploring uberholography