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Correlation loss and multipartite entanglement across a black hole horizon

Correlation loss and multipartite entanglement across a black hole horizon
Correlation loss and multipartite entanglement across a black hole horizon

We investigate the Hawking effect on entangled fields. By considering a scalar field which is in a two-mode squeezed state from the point of view of freely falling (Kruskal) observers crossing the horizon of a Schwarzschild black hole, we study the degradation of quantum and classical correlations in the state from the perspective of Schwarzschild observers confined outside the horizon. Due to monogamy constraints on the entanglement distribution, we show that the lost bipartite entanglement is recovered as multipartite entanglement among modes inside and outside the horizon. In the limit of a small-mass black hole, no bipartite entanglement is detected outside the horizon, while the genuine multipartite entanglement interlinking the inner and outer regions grows infinitely.

Continuous variable correlations, Hawking-Unruh effect, Multipartite entanglement, Schwarzschild black holes
1533-7146
657-665
Adesso, Gerardo
2e2ce834-fa19-4224-a3f1-8e1b1d0b6dcd
Fuentes-Schuller, Ivette
c6d65a4c-feac-44c1-9097-e0f6a9e0cf44
Adesso, Gerardo
2e2ce834-fa19-4224-a3f1-8e1b1d0b6dcd
Fuentes-Schuller, Ivette
c6d65a4c-feac-44c1-9097-e0f6a9e0cf44

Adesso, Gerardo and Fuentes-Schuller, Ivette (2009) Correlation loss and multipartite entanglement across a black hole horizon. Quantum Information and Computation, 9 (7-8), 657-665. (doi:10.5555/2011451.2011456).

Record type: Article

Abstract

We investigate the Hawking effect on entangled fields. By considering a scalar field which is in a two-mode squeezed state from the point of view of freely falling (Kruskal) observers crossing the horizon of a Schwarzschild black hole, we study the degradation of quantum and classical correlations in the state from the perspective of Schwarzschild observers confined outside the horizon. Due to monogamy constraints on the entanglement distribution, we show that the lost bipartite entanglement is recovered as multipartite entanglement among modes inside and outside the horizon. In the limit of a small-mass black hole, no bipartite entanglement is detected outside the horizon, while the genuine multipartite entanglement interlinking the inner and outer regions grows infinitely.

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More information

Published date: 1 July 2009
Keywords: Continuous variable correlations, Hawking-Unruh effect, Multipartite entanglement, Schwarzschild black holes

Identifiers

Local EPrints ID: 480240
URI: http://eprints.soton.ac.uk/id/eprint/480240
ISSN: 1533-7146
PURE UUID: 55bdc0f4-6bce-4a37-b71c-b6b4783c110e

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Date deposited: 01 Aug 2023 17:11
Last modified: 05 Jun 2024 17:25

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Author: Gerardo Adesso

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