2000 character limit reached
Two infinite families of facets of the holographic entropy cone
Published 23 Jan 2024 in hep-th and quant-ph | (2401.13029v4)
Abstract: We verify that the recently proven infinite families of holographic entropy inequalities are maximally tight, i.e. they are facets of the holographic entropy cone. The proof is technical but it offers some heuristic insight. On star graphs, both families of inequalities quantify how concentrated / spread information is with respect to a dihedral symmetry acting on subsystems. In addition, toric inequalities viewed in the K-basis show an interesting interplay between four-party and six-party perfect tensors.
- J. M. Maldacena, “The Large N𝑁Nitalic_N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys. 2, 231-252 (1998) [arXiv:hep-th/9711200 [hep-th]].
- S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett. 96, 181602 (2006) [arXiv:hep-th/0603001 [hep-th]].
- S. Ryu and T. Takayanagi, “Aspects of holographic entanglement entropy,” JHEP 08, 045 (2006) [arXiv:hep-th/0605073 [hep-th]].
- V. E. Hubeny, M. Rangamani and T. Takayanagi, “A covariant holographic entanglement entropy proposal,” JHEP 07, 062 (2007) [arXiv:0705.0016 [hep-th]].
- A. C. Wall, “Maximin surfaces, and the strong subadditivity of the covariant holographic entanglement entropy,” Class. Quant. Grav. 31, no.22, 225007 (2014) [arXiv:1211.3494 [hep-th]].
- N. Engelhardt and A. C. Wall, “Quantum extremal surfaces: Holographic entanglement entropy beyond the classical regime,” JHEP 01, 073 (2015) [arXiv:1408.3203 [hep-th]].
- X. Dong and A. Lewkowycz, “Entropy, extremality, Euclidean variations, and the equations of motion,” JHEP 01, 081 (2018) [arXiv:1705.08453 [hep-th]].
- P. Hayden, M. Headrick and A. Maloney, “Holographic mutual information is monogamous,” Phys. Rev. D 87, no.4, 046003 (2013) [arXiv:1107.2940 [hep-th]].
- N. Bao, S. Nezami, H. Ooguri, B. Stoica, J. Sully and M. Walter, “The holographic entropy cone,” JHEP 09, 130 (2015) [arXiv:1505.07839 [hep-th]].
- S. Hernández Cuenca, “Holographic entropy cone for five regions,” Phys. Rev. D 100, no.2, 026004 (2019) [arXiv:1903.09148 [hep-th]].
- B. Czech and Y. Wang, “A holographic inequality for N=7𝑁7N=7italic_N = 7 regions,” JHEP 01, 101 (2023) [arXiv:2209.10547 [hep-th]].
- S. Hernández-Cuenca, V. E. Hubeny and F. Jia, “Holographic entropy inequalities and multipartite entanglement,” [arXiv:2309.06296 [hep-th]].
- B. Czech, S. Shuai, Y. Wang and D. Zhang, “Holographic entropy inequalities and the topology of entanglement wedge nesting,” [arXiv:2309.15145 [hep-th]].
- B. Czech and S. Shuai, “Holographic cone of average entropies,” Commun. Phys. 5, 244 (2022) [arXiv:2112.00763 [hep-th]].
- M. Fadel and S. Hernández-Cuenca, “Symmetrized holographic entropy cone,” Phys. Rev. D 105, no.8, 086008 (2022) [arXiv:2112.03862 [quant-ph]].
- D. N. Page, “Average entropy of a subsystem,” Phys. Rev. Lett. 71, 1291-1294 (1993) [arXiv:gr-qc/9305007 [gr-qc]].
- D. N. Page, “Information in black hole radiation,” Phys. Rev. Lett. 71 (1993), 3743-3746 [arXiv:hep-th/9306083 [hep-th]].
- D. N. Page, “Time dependence of Hawking radiation entropy,” JCAP 09 (2013), 028 [arXiv:1301.4995 [hep-th]].
- G. Penington, “Entanglement wedge reconstruction and the information paradox,” JHEP 09 (2020), 002 [arXiv:1905.08255 [hep-th]].
- A. Almheiri, N. Engelhardt, D. Marolf and H. Maxfield, “The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole,” JHEP 12 (2019), 063 [arXiv:1905.08762 [hep-th]].
- A. Almheiri, R. Mahajan, J. Maldacena and Y. Zhao, “The Page curve of Hawking radiation from semiclassical geometry,” JHEP 03 (2020), 149 [arXiv:1908.10996 [hep-th]].
- V. Balasubramanian, B. D. Chowdhury, B. Czech, J. de Boer and M. P. Heller, “Bulk curves from boundary data in holography,” Phys. Rev. D 89, no.8, 086004 (2014) [arXiv:1310.4204 [hep-th]].
- P. Hayden, S. Nezami, X. L. Qi, N. Thomas, M. Walter and Z. Yang, “Holographic duality from random tensor networks,” JHEP 11, 009 (2016) [arXiv:1601.01694 [hep-th]].
- T. He, M. Headrick and V. E. Hubeny, “Holographic entropy relations repackaged,” JHEP 10 (2019), 118 [arXiv:1905.06985 [hep-th]].
- T. He, V. E. Hubeny and M. Rangamani, “Superbalance of holographic entropy inequalities,” JHEP 07 (2020), 245 [arXiv:2002.04558 [hep-th]].
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