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}
}
• Published 13 November 2018
• Physics
• Journal of High Energy Physics
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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