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2019

Generalizations of Reflected Entropy and the Holographic Dual

Chu, Jinwei, Qi, Runze, Zhou, Yang

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We introduce a new class of quantum and classical correlation measures by generalizing the reflected entropy to multipartite states.

We define the new measures for quantum systems in one spatial dimension.
For quantum systems having gravity duals, we show that the holographic duals of these new measures are various types of minimal surfaces consist of different entanglement wedge cross sections.
One special generalized reflected entropy is $\Delta_R$, with the holographic dual proportional to the so called multipartite entanglement wedge cross section $\Delta_W$ defined before.

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