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SUMMARY:Vijay Balasubramanian (UPenn)
DTSTART:20200507T190000Z
DTEND:20200507T200000Z
DTSTAMP:20260404T171110Z
UID:IFQ/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/IFQ/1
 /">Geometric secret sharing in a model of Hawking radiation</a>\nby Vijay 
 Balasubramanian (UPenn) as part of It from Qubit\n\n\nAbstract\nWe conside
 r a black hole in three dimensional AdS space entangled with an auxiliary 
 radiation system. We then model the microstates of the black hole in terms
  of a field theory living on an end of the world brane behind the horizon\
 , and allow this field theory to itself have a holographic dual geometry. 
 This geometry is also a black hole since entanglement of the microstates w
 ith the radiation leaves them in a mixed state. This "inception black hole
 " can be purified by entanglement through a wormhole with an auxiliary sys
 tem which is naturally identified with the external radiation\, giving a r
 ealization of the ER=EPR scenario. In this context\, we propose an extensi
 on of the Ryu-Takayanagi (RT) formula\, in which extremal surfaces computi
 ng entanglement entropy are allowed to pass through the brane into its dua
 l geometry. This new rule reproduces the Page curve for evaporating black 
 holes\, consistently with the recently proposed "island formula". We then 
 separate the radiation system into pieces. Our extended RT rule shows that
  the entanglement wedge of the union of radiation subsystems covers the bl
 ack hole interior at late times\, but the union of entanglement wedges of 
 the subsystems may not. This result points to a secret sharing scheme in H
 awking radiation wherein reconstruction of certain regions in the interior
  is impossible with any subsystem of the radiation\, but possible with all
  of it.\n
LOCATION:https://stable.researchseminars.org/talk/IFQ/1/
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