Twist and teleportation analogy of the black hole final state

TL;DR

This paper explores a mathematical analogy between quantum teleportation and black hole final states, using twist operations and boundary conditions to unify black hole evaporation with quantum information transfer.

Contribution

It introduces a novel framework connecting quantum teleportation with black hole evaporation through twist operations and boundary conditions, providing new insights into black hole information paradox.

Findings

Mixedness preserved only in micro-canonical boundary condition

Unified mathematical description of teleportation and black hole evaporation

Final state boundary condition resembles perfect teleportation channel

Abstract

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 non trivial spacetime geometry. We use the twist operatation 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 measure of mixedness is preserved only in the special case of final-state boundary condition in the micro-canonical form, which resmebles perfect teleportation channel.