Hawking radiation, Entanglement and Teleportation in background of an asymptotically flat static black hole

Abstract

The effect of the Hawking temperature on the entanglement and teleportation for the scalar field in a most general, static and asymptotically flat black hole with spherical symmetry has been investigated. It is shown that the same "initial entanglement" for the state parameter $\alpha$ and its "normalized partners" $\sqrt{1-{\alpha }^2}$ will be degraded by the Hawking effect with increasing Hawking temperature along two different trajectories except for the maximally entangled state. In the infinite Hawking temperature limit, corresponding to the case of the black hole evaporating completely, the state has no longer distillable entanglement for any $\alpha$. It is interesting to note that the mutual information in this limit equals to just half of the "initially mutual information". It has also been demonstrated that the fidelity of teleportation decreases as the Hawking temperature increases, which just indicates the degradation of entanglement.

17 pages, 3 figures, to be published in Physical Review D

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• Entanglement of Dirac fields in non-inertial frames
• Tunnelling, Temperature and Taub-NUT Black Holes
• Continuous variable entanglement sharing in non-inertial frames
• Quantum Entanglement of Electromagnetic Fields in Non-inertial Reference Frames
• Final state boundary condition of the Schwarzschild black hole
• Quantum Entanglement and Teleportation in Higher Dimensional Black Hole Spacetimes
• Hawking-Unruh effect and the entanglement of two-mode squeezed states in Riemannian spacetime

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