Hawking effects as a noisy quantum channel

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In this work, we have shown that the evolution of the bipartite entangled state near the black hole with the Hawking radiation can be described by a noisy quantum channel, having a complete positive map with an “operator sum representation.” The entanglement fidelity is obtained in analytic form from the “operator sum representation.” The bipartite entangled state becomes bipartite mixed Gaussian state as the black hole evaporates. By comparing negativity and entanglement monotone with the analytical form of the entanglement fidelity, we found that the negativity and the entanglement monotone for s = 1/2 provide the upper and the lower bounds of the entanglement fidelity, respectively.

Original languageEnglish
Pages (from-to)201-207
Number of pages7
JournalJournal of the Korean Physical Society
Issue number2
StatePublished - 1 Jan 2018


  • Entanglement
  • Hawking effect
  • Quantum channel


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