Holographic entropy inequalities and multipartite entanglement
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13130_2024_Article_24372.pdf
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Author(s)
Hernández-Cuenca, Sergio
Hubeny, Veronika E.
Jia, Hewei F.
Date Issued
August 30, 2024
Journal
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Citation
Hernández-Cuenca, S., Hubeny, V.E. & Jia, H.F. Holographic entropy inequalities and multipartite entanglement. J. High Energ. Phys. 2024, 238 (2024).
Version
Final published version
Abstract
We study holographic entropy inequalities and their structural properties by making use of a judicious grouping of terms into certain multipartite information quantities. This allows us to recast cumbersome entropic expressions into much simpler ones which share interestingly rigid structures. By performing a systematic search over some of these structures, we are able to discover more than 1800 novel entropy inequalities for six parties, thereby demonstrating that these recastings provide a fruitful generating technique for uncovering new holographic entropy inequalities. In attempting to interpret the corresponding sign-definite quantities as correlation measures, we also obtain a no-go result: the superbalance property of holographic entropy inequalities turns out to preclude them from being monotonic under partial tracing. In the process, we also comment on the geometrical significance of multipartite information quantities and present various structural relations amongst them.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/JHEP08(2024)238
