A No-Go Theorem for Gaussian Quantum Error Correction

Details A No-Go Theorem for Gaussian Quantum Error Correction A No-Go Theorem for Gaussian Quantum Error Correction

2008-11-19

arxiv.org/abs/0811.3128v1

Phys.Rev.Lett.102:120501,2009

Physics

Quantum Physics

4 pages, 2 figures, REVTeX4

Scientific paper

10.1103/PhysRevLett.102.120501

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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