Entanglement wedge cross section inequalities from replicated geometries

Ning Bao (Brookhaven National Laboratory, Computational Science Initiative, Upton, New York, 11973, USA) ; Aidan Chatwin-Davies (Department of Physics and Astronomy, University of British Columbia, 6224 Agricultural Road, Vancouver, BC, V6T 1Z1, Canada; KU Leuven, Institute for Theoretical Physics, Celestijnenlaan 200D, Leuven, B-3001, Belgium) ; Grant Remmen (Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA, 93106, USA; Department of Physics, University of California, Santa Barbara, CA, 93106, USA)

We generalize the constructions for the multipartite reflected entropy in order to construct spacetimes capable of representing multipartite entanglement wedge cross sections of differing party number as Ryu-Takayanagi surfaces on a single replicated geometry. We devise a general algorithm for such constructions for arbitrary party number and demonstrate how such methods can be used to derive novel inequalities constraining mulipartite entanglement wedge cross sections.

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      "value": "We generalize the constructions for the multipartite reflected entropy in order to construct spacetimes capable of representing multipartite entanglement wedge cross sections of differing party number as Ryu-Takayanagi surfaces on a single replicated geometry. We devise a general algorithm for such constructions for arbitrary party number and demonstrate how such methods can be used to derive novel inequalities constraining mulipartite entanglement wedge cross sections."
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Published on:
16 July 2021
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2021 (2021)
Issue 7
Pages 1-20
DOI:
https://doi.org/10.1007/JHEP07(2021)113
arXiv:
2106.02640
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: