Hawking Effects as a Noisy Quantum Channel
J. Korean Phy. Soc. 2018; 72: 201~207
Published online January 31, 2018 © 2018 The Korean Physical Society.


Department of Electrical and Computer Engineering and Center for Quantum Information Processing, University of Seoul, Seoul 02504, Korea
Physics Department, Charles E. Schmidt College of Science, Florida Atlantic University, Boca Raton 33431-0991, USA
Correspondence to: Doyeol Ahn
Abstract
It was 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 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 provide the upper and the lower bounds of the entanglement fidelity, respectively.
PACS numbers: 03.67.−a, 03.65.Ud, 04.62.+v
Keywords: Quantum channel, Entanglement, Hawking effect


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