Physics Seminar
Date: Thursday, 21 November 2024
Time: 7:30 PM
Venue: Online
Does connected wedge imply distillable entanglement?
Takato Mori
Perimeter Institute for Theoretical Physics, Canada.
21-11-24

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Abstract

The Ryu-Takayanagi formula predicts that two spatially separated boundary subsystems can have large mutual information if their entanglement wedge is connected in the bulk. However, the nature of this mysterious entanglement remains elusive. Here, we propose that one-shot distillable entanglement via local operation and classical communication (LOCC) is given by so-called locally accessible information, whose gravity dual we propose is related to entanglement\ wedge cross section. In particular, we demonstrate that a connected wedge does not necessarily imply nonzero distillable entanglement with holographic measurements at the leading order. Thus, it is an example of negative partial transpose (NPT) bound entanglement in one-shot holographic settings. Furthermore, using the Koashi-Winter relation, we propose entanglement of formation is dual to entanglement wedge cross section. If time permits, I will comment on potential physical mechanisms for subleading effects, including holographic scattering and traversable wormholes.