No-go theorem for Gaussian quantum error correction
Author(s)Niset, Julien; Fiurasek, Jaromir; Cerf, Nicolas J.
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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.
DepartmentMassachusetts Institute of Technology. Research Laboratory of Electronics
Physical Review Letters
American Physical Society
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.
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