A No-Go Theorem for Gaussian Quantum Error Correction

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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.
4 pages, 2 figures, REVTeX4

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Quantum Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/226180

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0811.3128
 http://arxiv.org/abs/0811.3128
 Phys.Rev.Lett.102:120501,2009
 doi:10.1103/PhysRevLett.102.120501

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arXiv