A No-Go Theorem for Gaussian Quantum Error Correction

2008/11/19 by Julien Niset, Jaromir Fiurasek, Nicolas J. Cerf
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1103/physrevlett.102.120501

published as Phys.Rev.Lett.102:120501,2009 · 4 pages, 2 figures, REVTeX4

arxiv created 2008/11/19 · arxiv updated 2009/12/01

Abstract

It is proven 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.

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