Do maximally entangled states always have an advantage over non-maximally entangled states in Schwarzschild black hole?
arXiv:2410.12260 · doi:10.1140/epjc/s10052-025-14347-y
Abstract
It is generally believed that quantum entanglement in the maximally entangled states is greater than quantum entanglement in the non-maximally entangled states under a relativistic setting. In this paper, we study quantum entanglement for four different types of Bell-like states of the fermionic modes near the event horizon of a Schwarzschild black hole. It is interesting to find that quantum entanglement in the maximally entangled states is less than quantum entanglement in the non-maximally entangled states in Schwarzschild spacetime. From the perspective of quantum resources, the non-maximally entangled states may have more advantages in curved spacetime compared to the maximally entangled states. This is obviously different from the conclusions in previous paper. For two types of Bell-like states, quantum entanglement suffers sudden death under the Hawking effect of the black hole, and for the other two types of Bell-like states, quantum entanglement can exist forever regardless of the Hawking temperature. Therefore, we should choose appropriate types of Bell-like states to handle relativistic quantum information tasks.
arXiv comment15 pages, 2 figures
References in corpus (30)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- Alice falls into a black hole: Entanglement in non-inertial frames
- Entanglement of Dirac fields in non-inertial frames
- The Unruh effect in quantum information beyond the single-mode approximation
- No-hair theorem for Black Holes in Astrophysical Environments
- Unveiling quantum entanglement degradation near a Schwarzschild black hole
- Continuous variable entanglement sharing in non-inertial frames
- Hawking radiation, Entanglement and Teleportation in background of an asymptotically flat static black hole
- Spin and occupation number entanglement of Dirac fields for non-inertial observers
- Genuine tripartite nonlocality and entanglement in curved spacetime
- Entanglement entropy of the black hole horizon
- Entanglement of coupled massive scalar field in background of dilaton black hole
- Entanglement redistribution in the Schwarzschild spacetime
- Quantum discord and measurement-induced disturbance in the background of dilaton black holes
- Quantum discord in de Sitter space
- Lorentz violation alleviates gravitationally induced entanglement degradation
- The entangling side of the Unruh-Hawking effect
- Entanglement behavior of quantum states of fermionic system in accelerated frame
- Hawking effect can generate physically inaccessible genuine tripartite nonlocality
- Entropic uncertainty relations in Schwarzschild space-time
- Would quantum coherence be increased by curvature effect in de Sitter space?
- Geometric phase of two-level atoms and thermal nature of de Sitter spacetime
- Reduction of entanglement degradation and teleportation improvement in Einstein-Gauss-Bonnet gravity
- Characterization of Unruh Channel in the context of Open Quantum Systems
- Entanglement degradation as a tool to detect signatures of quantum gravity
- Gaussian tripartite steering in Schwarzschild black hole
- Unruh effect as a noisy quantum channel
- Evaporation and information puzzle for 2D nonsingular asymptotically flat black holes
- Essential role of destructive interference in the gravitationally induced entanglement
- Optimal Settings For Amplification And Estimation Of Small Effects In Postselected Ensembles