Genuine N-partite entanglement and distributed relationships in the background of dilation black holes

Abstract

With the complexity of information tasks, the bipartite and tripartite entanglement can no longer meet our needs, and we need more entangled particles to process relativistic quantum information. In this paper, we study the genuine N-partite entanglement and distributed relationships for Dirac fields in the background of dilaton black holes. We present the general analytical expression including all physically accessible and inaccessible entanglement in curved spacetime. We find that the accessible N-partite entanglement exhibits irreversible decoherence as the increase of black hole's dilaton, and on the other hand the inaccessible N-partite entanglement increases from zero monotonically or non-monotonically, depending on the relative numbers of the accessible to the inaccessible modes, which forms a sharp contrast with the cases of bipartite and tripartite entanglement where the inaccessible entanglement increase only monotonically. We also find two distributed relationships between accessible and inaccessible N-partite entanglement in curved spacetime. The results give us a new understanding of the Hawking radiation.

19 pages, 8 figures

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Cited by in corpus (6)

• Fermionic steering and its monogamy relations in Schwarzschild spacetime
• Maximal steered coherence in the background of Schwarzschild space-time
• Basis-independent quantum coherence and its distribution under relativistic motion
• Genuine multipartite entanglement subject to the Unruh and anti-Unruh effects
• Bosonic and fermionic coherence of N-partite states in the background of a dilaton black hole
• Quantum entanglement for continuous variables sharing in an expanding spacetime