2018

Entanglement of Purification for Multipartite States and its Holographic Dual

Umemoto, Koji, Zhou, Yang

Understand

We introduce a new information-theoretic measure of multipartite quantum/classical correlations $\Delta_P$, by generalizing the entanglement of purification to multipartite states.

We provide proofs of its various properties, focusing on several entropic inequalities, in generic quantum systems.
In particular, it turns out that the multipartite entanglement of purification gives an upper bound on multipartite mutual information, which is a generalization of quantum mutual information in the spirit of relative entropy.
After that, motivated by a tensor network description of the AdS/CFT correspondence, we also define a holographic dual of multipartite entanglement of purification $\Delta_W$, as a sum of minimal areas of codimension-2 surfaces which divide the entanglement wedge into multi-pieces.

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