Quantum Teleportation Through Entangled Black Holes

Masahiro Hotta

Xian-Hui Ge, You-Gen Shen

We show a new property of sonic black holes. After deriving the metric of a sonic black hole from the Schrödinger equation and quantizing the perturbation fields near the sonic event horizon, we show particles of Hawking radiation can act as a source of entanglement: two-mode squeezed entanglement is produced near the event horizon, which can be used in quantum teleportation. The fidelity of the teleportation is closely related to the temperature of the sonic black holes, but high fidelity seems difficult to reach in our case.

Sevda Mirzaei, Amin Rezaei Akbarieh

Abstract In this paper, we describe the properties of quantum entanglement and teleportation between Alice and Bob who is freely falling toward the Schwarzschild black hole. To this aim, in the flat Minkowski spacetime before a black hole is formed, Alice and Bob share a two-mode entangled coherent state (ECS) generated by Kerr medium and the beam splitter. We will show that the degree of entanglement decreases with increasing the radius of black hole r. Moreover, the fidelity of quantum teleportation via ECS, as a quantum channel, is also reduced because of the Hawking-Unruh effect.

Yanhua H. Shih

F.J. Duarte

Abhijit Mandal, Sovik Roy

Abstract We investigate the robustness of quantum teleportation in the presence of strong gravitational fields by analyzing bipartite mixed states derived from tripartite GHZ and W -class states near black hole event horizons. Considering a scenario where two observers approach the horizon of either a Schwarzschild or a Garfinkle–Horowitz–Strominger Dilaton black hole while a third remains in flat space, we quantify the teleportation fidelity of the resulting bipartite channels after tracing out one party. Through the quantization of Dirac fields and Bogoliubov transformations, we compute the teleportation fidelity under the influence of Hawking radiation and spacetime curvature. Our results show that while entanglement degrades, teleportation fidelity remains above the classical threshold of f > 2 3 for channels derived from W -class states, but not for GHZ -derived states. This indicates that quantum teleportation can remain feasible near black holes provided the initial entangled state retains useful bipartite entanglement.