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

Autor:	Bao, Ning, Naskar, Joydeep
Rok vydání:	2022
Předmět:	High Energy Physics - Theory Quantum Physics
Zdroj:	Phys.Rev.D 107 (2023) 6, 066014
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevD.107.066014
Popis:	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 $AdS_3/CFT_2$, the code distance is independent of the mixed-state entropy in the bulk in the $m\rightarrow\infty$ limit. We also show that for a Sierpinski triangle shaped boundary subregion with fractal boundary erasures in $AdS_4/CFT_3$, bulk reconstruction is possible in the presence of highly entropic mixed states in the bulk in the large $m$ regime. Comment: Errors corrected. Journal version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2209.15026 Zobrazit plný text záznamu View this record from Arxiv