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• W2901784037 abstract "A bstract We revisit the recent reformulation of the holographic prescription to compute entanglement entropy in terms of a convex optimization problem, introduced by Freedman and Headrick. According to it, the holographic entanglement entropy associated to a boundary region is given by the maximum flux of a bounded, divergenceless vector field, through the corresponding region. Our work leads to two main results: (i) We present a general algorithm that allows the construction of explicit thread configurations in cases where the minimal surface is known. We illustrate the method with simple examples: spheres and strips in vacuum AdS, and strips in a black brane geometry. Studying more generic bulk metrics, we uncover a sufficient set of conditions on the geometry and matter fields that must hold to be able to use our prescription. (ii) Based on the nesting property of holographic entanglement entropy, we develop a method to construct bit threads that maximize the flux through a given bulk region. As a byproduct, we are able to construct more general thread configurations by combining (i) and (ii) in multiple patches. We apply our methods to study bit threads which simultaneously compute the entanglement entropy and the entanglement of purification of mixed states and comment on their interpretation in terms of entanglement distillation. We also consider the case of disjoint regions for which we can explicitly construct the so-called multi-commodity flows and show that the monogamy property of mutual information can be easily illustrated from our constructions." @default.
• W2901784037 created "2018-11-29" @default.
• W2901784037 creator A5041631676 @default.
• W2901784037 creator A5051581104 @default.
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• W2901784037 date "2019-05-01" @default.
• W2901784037 modified "2023-09-30" @default.
• W2901784037 title "Geometric aspects of holographic bit threads" @default.
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• W2901784037 doi "https://doi.org/10.1007/jhep05(2019)075" @default.
• W2901784037 hasPublicationYear "2019" @default.
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