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No-go theorem for Gaussian quantum error correction

Author(s)
Niset, Julien; Fiurasek, Jaromir; Cerf, Nicolas J.
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Abstract
We prove that Gaussian operations are of no use for protecting Gaussian states against Gaussian errors in quantum communication protocols. Specifically, we introduce a new quantity characterizing any single-mode Gaussian channel, called entanglement degradation, and show that it cannot decrease via Gaussian encoding and decoding operations only. The strength of this no-go theorem is illustrated with some examples of Gaussian channels.
Date issued
2009-03
URI
http://hdl.handle.net/1721.1/64768
Department
Massachusetts Institute of Technology. Research Laboratory of Electronics
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Niset, Julien, Jaromir Fiurasek and Nicolas J. Cerf. "No-Go Theorem for Gaussian Quantum Error Correction." Phys. Rev. Lett. 102, 120501 (2009) [4 pages] © 2009 The American Physical Society.
Version: Final published version
ISSN
0031-9007

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