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We construct detailed AdS$_2$ gravity solutions describing the teleportationthrough a traversable wormhole sending a state from one side of the wormhole tothe other. The traversable wormhole is realized by turning on a double traceinteraction that couples the two boundaries of an eternal AdS$_2$ black hole.The horizon radius or the entropy of the black hole is reduced consistentlywith the boundary computation of the energy change, confirming the black holefirst law. To describe teleportee states traveling through the wormhole, weconstruct Janus deformations which make the Hamiltonians of left-rightboundaries differ from each other by turning on exact marginal operators.Combining explicitly the traversable wormhole solution and the teleporteestates, we present a complete bulk picture of the teleportation in the contextof ER=EPR. The traversability of the wormhole is not lost to the leading orderof the deformation parameter. We also consider solutions where the teleporteemeets the matter thrown from the other side during teleportation, in accordancewith the assertion that the bulk wormhole is experimentally observable.

Bulk View of Teleportation and Traversable Wormholes