Reconstruction wedges in $AdS/CFT$ with boundary fractallike structures
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866914959135342592 |
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| author | Bao, Ning Naskar, Joydeep |
| author_facet | Bao, Ning Naskar, Joydeep |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_15026 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Reconstruction wedges in $AdS/CFT$ with boundary fractallike structures Bao, Ning Naskar, Joydeep High Energy Physics - Theory Quantum Physics 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. |
| title | Reconstruction wedges in $AdS/CFT$ with boundary fractallike structures |
| topic | High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2209.15026 |