nLab holographic Rényi entropy

Idea

A modification (Dong 16) of Rényi entropy which satisfy a holographic area law analogous to holographic entanglement entropy

(…)

References

Due to:

• Xi Dong, The Gravity Dual of Renyi Entropy, Nature Communications 7, 12472 (2016) (arXiv:1601.06788, doi:10.1038/ncomms12472)

• Xi Dong, Holographic Renyi Entropy at High Energy Density, Phys. Rev. Lett. 122, 041602 (2019) (arXiv:1811.04081)

Review:

• Pratik Rath, Aspects of Holography And Quantum Error Correction, 2020 (pdf, pdf)

Relation to quantum error correcting codes

• Chris Akers, Pratik Rath, Holographic Renyi entropy from quantum error correction, J. High Energ. Phys. 2019, 52 (2019) (arXiv:1811.05171)

See also:

• Ning Bao, Mudassir Moosa, Ibrahim Shehzad, The holographic dual of Rényi relative entropy, J. High Energ. Phys. 2019, 99 (2019) (arXiv:1904.08433)