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arXiv:2501.06484 · Classical and Quantum Gravity

Resilience of quantum teleportation fidelity for bipartite mixed states near Schwarzschild and Dilaton black holes

Abhijit Mandal, Sovik Roy

Published Apr 16, 2026• 0 citations
arXivHTMLPDF

Abstract

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.

DOI
10.1088/1361-6382/ae60da

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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.
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A bstract Previous studies have shown that the Hawking effect always destroys quantum correlations and the fidelity of quantum teleportation in the Schwarzschild black hole. Here, we investigate the fidelity of quantum teleportation of Dirac fields between users in Schwarzschild spacetime. We find that, with the increase of the Hawking temperature, the fidelity of quantum teleportation can monotonically increase, monotonically decrease, or non-monotonically increase, depending on the choice of the initial state, which means that the Hawking effect can create net fidelity of quantum teleportation. This striking result banishes the extended belief that the Hawking effect of the black hole can only destroy the fidelity of quantum teleportation. We also find that quantum steering cannot fully guarantee the fidelity of quantum teleportation in Schwarzschild spacetime. This new unexpected source may provide a new idea for the experimental evidence of the Hawking effect.
Abstract Previous studies have shown that the effects of black holes and environmental decoherence generally negatively influence quantum correlations and the fidelity of quantum teleportation in curved spacetime. In our paper, we find that as the dilaton parameter increases, the fidelity of quantum teleportation can either decrease or increase, which suggests that even in the presence of system-environment coupling, the dilaton effect of black hole can positive influence teleportation fidelity; specifically, the dilaton effect can create net fidelity in quantum teleportation under decoherence. This interesting result challenges the long-held belief that the effects of black holes and environmental decoherence can only reduce the fidelity of quantum teleportation. Additionally, we observe an unreported result: if the fidelity of quantum teleportation remains in the classical region, it can be transformed into the quantum region by utilizing a local filtering operation, thereby achieving better fidelity than classical communication. This impressive result may provide new insights for developing an experimental scheme to effectively implement quantum teleportation in the context of dilaton black holes under decoherence.
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.
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.