# Holographic Renyi entropy from quantum error correction

@article{Akers2019HolographicRE, title={Holographic Renyi entropy from quantum error correction}, author={Christopher Nelson Akers and Pratik Rath}, journal={Journal of High Energy Physics}, year={2019}, volume={2019}, pages={1-24} }

A bstractWe study Renyi entropies Sn in quantum error correcting codes and compare the answer to the cosmic brane prescription for computing S˜n≡n2∂nn−1nSn$$ {\tilde{S}}_n\equiv {n}^2{\partial}_n\left(\frac{n-1}{n}{S}_n\right) $$. We find that general operator algebra codes have a similar, more general prescription. Notably, for the AdS/CFT code to match the specific cosmic brane prescription, the code must have maximal entanglement within eigenspaces of the area operator. This gives us an…

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