# Multi-partite entanglement In holography, the most studied measure of entanglement is the [[0301 Entanglement entropy|von Neumann entropy]]. But multipartite entanglement, which describes the quantum entanglement among more than two subsystems, are less understood in holography. Some important works have been done in this direction, but there is no analogue of the [[0007 RT surface|RT surface]] (at least if you require a level of rigour similar to that of [[2013#Lewkowycz, Maldacena|Lewkowycz-Maldacena]]). ## In CFT or quantum systems - [[2022#Agon, Bueno, Andino, Lopez]]: using twist operators - [[2024#Basak, Malvimat, Yoon]]: latent entropy ## In holography - [[2014#Balasubramanian, Hayden, Maloney, Marolf, Ross]] - [[2015#Marolf, Maxfield, Peach, Ross]] - [[2021#Bao, Chatwin-Davies, Remmen]] - [[2023#Gadde, Krishna, Sharma]]: - proposes measures that have holographic duals - [[2020#Emparan, Grado-White, Marolf, Tomasevic]]: discuss possible relation to [[0083 Traversable wormhole|traversable wormholes]] - [[2024#Harper, Takayanagi, Tsuda]]: Renyi multi-entropy in AdS$_3$ with proposed geometric measure - [[2024#Gadde, Harper, Krishna]]: 2d CFT; defines a class of multi-partite local unitary invariants, multi-invariants, with a given replica symmetry that acts freely and transitively on the replicas - [[2024#Balasubramanian, Kang, Murdia, Ross]]: "signals" - [[2024#Ju, Pan, Sun, Wang, Zhao]]: upper bound on multi-partite information - [[2025#Iizuka, Nishida]]: genuine multi-entropy ## Time dependence - [[2024#Iizuka, Lin, Nishida]]: multi-entropy version of [[0131 Information paradox|Page curve]]