No-go theorem for Gaussian quantum error correction
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Niset-2009-No-Go Theorem for Ga.pdf
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Author(s)
Niset, Julien
Fiurasek, Jaromir
Cerf, Nicolas J.
Date Issued
March 2009
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
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.
MIT Department
Massachusetts Institute of Technology. Research Laboratory of Electronics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.102.120501
