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- W3101875189 abstract "In the holographic correspondence, subregion duality posits that knowledge of the mixed state of a finite spacelike region of the boundary theory allows full reconstruction of a specific region of the bulk, known as the entanglement wedge. This statement has been proven for local bulk operators. In this paper, specializing first for simplicity to a Rindler wedge of $$hbox {AdS}_3$$ , we find that generic curves within the wedge are in fact not fully reconstructible with entanglement entropies in the corresponding boundary region, even after using the most general variant of hole-ography, which was recently shown to suffice for reconstruction of arbitrary spacelike curves in the Poincaré patch. This limitation is an analog of the familiar phenomenon of entanglement shadows, which we call ‘entanglement shade’. We overcome it by showing that the information about the nonreconstructible curve segments is encoded in a slight generalization of the concept of entanglement of purification, whose holographic dual has been discussed very recently. We introduce the notion of ‘differential purification’, and demonstrate that, in combination with differential entropy, it enables the complete reconstruction of all spacelike curves within an arbitrary entanglement wedge in any 3-dimensional bulk geometry." @default.
- W3101875189 created "2020-11-23" @default.
- W3101875189 creator A5049845170 @default.
- W3101875189 creator A5051581104 @default.
- W3101875189 creator A5083707811 @default.
- W3101875189 date "2018-08-01" @default.
- W3101875189 modified "2023-10-14" @default.
- W3101875189 title "Entanglement wedge reconstruction and entanglement of purification" @default.
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- W3101875189 doi "https://doi.org/10.1140/epjc/s10052-018-6140-2" @default.
- W3101875189 hasPublicationYear "2018" @default.
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