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Journal of the Korean Physical Society

, Volume 72, Issue 2, pp 201–207 | Cite as

Hawking effects as a noisy quantum channel

  • Doyeol Ahn
Article
  • 59 Downloads

Abstract

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.

Keywords

Quantum channel Entanglement Hawking effect 

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References

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    D. Ahn, Phys. Rev. D 74, 084010 (2006).ADSMathSciNetCrossRefGoogle Scholar
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    S. M. Barnett and P. M. Radmore, Methods in Theoretical Quantum Optics (Oxford University Press, New York, 1997), p. 67.MATHGoogle Scholar
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    D. Ahn and S-H. Park, Engineering Quantum Mechanics (Wiley, New York, 2011). P. 59.CrossRefMATHGoogle Scholar
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    G. Adesso, A. Serafini and F. Illuminati, Phys. Rev. A 70, 022318 (2004).ADSCrossRefGoogle Scholar

Copyright information

© The Korean Physical Society 2018

Authors and Affiliations

  1. 1.Department of Electrical and Computer Engineering and Center for Quantum Information ProcessingUniversity of SeoulSeoulKorea
  2. 2.Physics Department, Charles E. Schmidt College of ScienceFlorida Atlantic UniversityBoca RatonUSA

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