Multipartite reflected entropy

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Publication:2283423

DOI10.1007/JHEP10(2019)102zbMATH Open1427.81113arXiv1909.03154WikidataQ127013131 ScholiaQ127013131MaRDI QIDQ2283423

Author name not available (Why is that?)

Publication date: 2 January 2020

Published in: (Search for Journal in Brave)

Abstract: We discuss two methods that, through a combination of cyclically gluing copies of a given n-party boundary state in AdS/CFT and a canonical purification, creates a bulk geometry that contains a boundary homologous minimal surface with area equal to 2 or 4 times the n-party entanglement wedge cross-section, depending on the parity of the party number and choice of method. The areas of the minimal surfaces are each dual to entanglement entropies that we define to be candidates for the n-party reflected entropy. In the context of AdS3/CFT2, we provide a boundary interpretation of our construction as a multiboundary wormhole, and conjecture that this interpretation generalizes to higher dimensions.


Full work available at URL: https://arxiv.org/abs/1909.03154



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