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The holographic entropy cone from marginal independence

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [3]
  1. University of California, Santa Barbara, CA (United States); Univ. of California, Davis, CA (United States)
  2. University of California, Davis, CA (United States)
  3. University of Amsterdam (Netherlands)
+ Show Author Affiliations
The holographic entropy cone characterizes the relations between entanglement entropies for a spatial partitioning of the boundary spacetime of a holographic CFT in any state describing a classical bulk geometry. We argue that the holographic entropy cone, for an arbitrary number of parties, can be reconstructed from more fundamental data determined solely by subadditivity of quantum entropy. We formulate certain conjectures about graph models of holographic entanglement, for which we provide strong evidence, and rigorously prove that they all imply that such a reconstruction is possible. Our conjectures (except only for the weakest) further imply that the necessary data is remarkably simple. In essence, all one needs to know to reconstruct the holographic entropy cone, is a certain subset of the extreme rays of this simpler “subadditivity cone”, namely those which can be realized in holography. This recasting of the bewildering entanglement structure of geometric states into primal building blocks paves the way to distilling the essence of holography for the emergence of a classical bulk spacetime.
Research Organization:
University of California, Davis, CA (United States); University of Pennsylvania, Philadelphia, PA (United States)
Sponsoring Organization:
European Research Council (ERC); National Science foundation (NSF); Stichting Nederlandse Wetenschappelijk Onderzoek Instituten (NWO-I); USDOE Office of Science (SC); University of Amsterdam
Grant/Contract Number:
SC0009999; SC0020360
OSTI ID:
1976544
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 9 Vol. 2022; ISSN 1029-8479
Publisher:
Springer NatureCopyright Statement
Country of Publication:
United States
Language:
English

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