Code Properties of the Holographic Sierpinski Triangle
| Autor: | Bao, Ning, Naskar, Joydeep |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Phys. Rev. D 106, 126006 (2022) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.106.126006 |
| Popis: | We study the holographic quantum error correcting code properties of a Sierpinski Triangle-shaped boundary subregion in $AdS_4/CFT_3$. Due to existing no-go theorems in topological quantum error correction regarding fractal noise, this gives holographic codes a specific advantage over topological codes. We then further argue that a boundary subregion in the shape of the Sierpinski gasket in $AdS_5/CFT_4$ does not possess these holographic quantum error correction properties. Comment: Errors corrected. Journal version |
| Databáze: | arXiv |
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