Abstract
We study correlations between geometric subfactors living on the Ryu-Takayanagi surface that bounds the entanglement wedge. Using the surface-state correspondence and the bit threads program, we are able to calculate mutual information and conditional mutual information between subfactors. This enables us to count the shared Bell pairs between subfactors, and we propose an entanglement distillation procedure over these subsystems via a SWAP gate protocol. We comment on extending to multipartite entanglement.
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Acknowledgments
We are grateful to Charles Cao and Jonathan Harper for discussions. N.B. is supported by the Computational Science Initiative at Brookhaven National Laboratory, Northeastern University, and by the U.S. Department of Energy QuantISED Quantum Telescope award. G.S. is supported by the Graduate Assistantship from the Department of Physics, Northeastern University.
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ArXiv ePrint: 2311.07649
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Bao, N., Süer, G. Holographic entanglement distillation from the surface state correspondence. J. High Energ. Phys. 2024, 91 (2024). https://doi.org/10.1007/JHEP01(2024)091
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DOI: https://doi.org/10.1007/JHEP01(2024)091