Code Properties of the Holographic Sierpinski Triangle
High Energy Physics - Theory
2022-12-26 v2 Quantum Physics
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.
Cite
@article{arxiv.2203.01379,
title = {Code Properties of the Holographic Sierpinski Triangle},
author = {Ning Bao and Joydeep Naskar},
journal= {arXiv preprint arXiv:2203.01379},
year = {2022}
}
Comments
Errors corrected. Journal version