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
657-665
Adesso, Gerardo
2e2ce834-fa19-4224-a3f1-8e1b1d0b6dcd
Fuentes-Schuller, Ivette
c6d65a4c-feac-44c1-9097-e0f6a9e0cf44
1 July 2009
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), .
(doi:10.5555/2011451.2011456).
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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Published date: 1 July 2009
Keywords:
Continuous variable correlations, Hawking-Unruh effect, Multipartite entanglement, Schwarzschild black holes
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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: 17 Mar 2024 00:34
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Author:
Gerardo Adesso
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