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arXiv · 2203.01379

Code Properties of the Holographic Sierpinski Triangle

Ning Bao·Joydeep Naskar
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Abstract

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.

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Ning Bao, Joydeep Naskar. 2022-03-02. Code Properties of the Holographic Sierpinski Triangle. https://doi.org/10.1103/physrevd.106.126006

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