Riemannian and Lorentzian flow-cut theorems

DOI10.1088/1361-6382/aab83czbMath1391.83016arXiv1710.09516OpenAlexW2766245607WikidataQ115293064 ScholiaQ115293064MaRDI QIDQ3177497

Matthew Headrick, Veronika E. Hubeny

Publication date: 26 July 2018

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.09516

zbMATH Keywords

convex optimizationDilworth theoremholographic entanglementmaximal slicemax flow-min cut

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Quantum coherence, entanglement, quantum correlations (81P40) PDEs in connection with control and optimization (35Q93)

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Cites Work

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• Bit threads and holographic entanglement
• Entanglement as a probe of confinement
• Holography in general space-times
• Max-flow min-cut theorem in an anisotropic network
• Bulk locality and quantum error correction in AdS/CFT
• The gravity dual of a density matrix
• Maximin surfaces, and the strong subadditivity of the covariant holographic entanglement entropy
• Maximal flow through a domain

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