Does Hawking effect always degrade fidelity of quantum teleportation in Schwarzschild spacetime?

Abstract

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.

Quantum nonlocality phenomena in scalar and Dirac fields near a Schwarzschild black hole

“…Subsequently, we establish the Bogoliubov transformations [34] for the creation and annihilation operators within the Schwarzschild and Kruskal coordinates by quantizing the Dirac fields according to the designated modes. Upon proper normalization of the state vector, the ground state and excited state of the Kruskal particle can be given by [35][36][37][38][39]…”

Nonlocal advantage of quantum coherence under Garfinkle-Horowitz-Strominger dilation space-time

“…Since quantum correlation has significant potential applications in quantum information processing, some works focus on exploring quantum correlation under the various decoherence environments and physical systems [31][32][33][34][35][36][37]. More recently, with the development of relativistic quantum information [38], much attention has been paid to quantum information theory in curved space-time, such as quantum entanglement, quantum discord, quantum uncertainty relations, quantum coherence, and quantum parameter estimation [39][40][41][42][43][44][45][46][47][48][49][50][51][52]. These investigations in the framework of black holes can not only deepen the understanding of quantum information theory, but also provide potential applications for quantum information processing in curved space-time.…”