Gap between holographic and quantum mechanical extreme rays of the subadditivity cone

Creators: He, Temple; Hubeny, Veronika E.; Rota, Massimiliano

Abstract

We show via explicit construction that for six or more parties, there exist extreme rays of the subadditivity cone that can be realized by quantum states, but not by holographic states. This is a counterexample to a conjecture first formulated in Hernández-Cuenca et al. [The holographic entropy cone from marginal independence, J. High Energy Phys. 09 (2022) 190.], and implies the existence of deep holographic constraints that restrict the allowed patterns of independence among various subsystems beyond the universal quantum mechanical restrictions.

Copyright and License

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

Funding

Funded by SCOAP³.

Acknowledgement

V. H. and M. R. would like to thank the Centro de Ciencias de Benasque Pedro Pascual for hospitality during the program “Gravity—New perspectives from strings and higher dimensions,” where this work was carried out. T. H. is supported by the Heising-Simons Foundation “Observational Signatures of Quantum Gravity” collaboration Grant No. 2021-2817, the U.S. Department of Energy Grant No. DE-SC0011632, and the Walter Burke Institute for Theoretical Physics. V. H. has been supported in part by the U.S. Department of Energy Grant No. DE-SC0009999 and by funds from the University of California. M. R. is supported by funds from the University of California.

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PhysRevD.109.L041901.pdf

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