Twist and teleportation analogy of the black hole final state

Mathematical connection between the quantum teleportation, the most unique feature of quantum information processing, and the black hole final state is studied taking into account the nontrivial spacetime geometry. We use the twist operation for the generalized entanglement measurement and the final-state boundary conditions to obtain transfer theorems for the black hole evaporation. This would enable us to put together the universal quantum teleportation and the black hole evaporation in the unified mathematical footing. For a renormalized post selected final state of outgoing Hawking radiation, we found that the information content, quantified by the mixedness of the state, is preserved only in the special case of the final-state boundary condition in the microcanonical form, which resembles a perfect teleportation channel.