Code Properties of the Holographic Sierpinski Triangle
arXiv:2203.01379 · doi:10.1103/PhysRevD.106.126006
Abstract
We study the holographic quantum error correcting code properties of a Sierpinski Triangle-shaped boundary subregion in . 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 does not possess these holographic quantum error correction properties.
arXiv commentErrors corrected. Journal version
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