Correlation loss and multipartite entanglement across a black hole horizon

  • Authors:
  • Gerardo Adesso;Ivette Fuentes-Schuller

  • Affiliations:
  • School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, UK;Institute for Theoretical Physics, Technical University of Berlin, Berlin, Germany and Quantum Physics Group, University of Hertfordshire, Hatfield, United Kingdom

  • Venue:
  • Quantum Information & Computation
  • Year:
  • 2009

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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.