title: No-go theorem for gaussian quantum error correction.
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.
authors.affiliation: Université Libre de Bruxelles, 1050 Brussels, Belgium.
authors.forename: Julien
authors.initials: J
authors.lastname: Niset
authors.forename: Jaromír
authors.initials: J
authors.lastname: Fiurásek
authors.forename: Nicolas J
authors.initials: NJ
authors.lastname: Cerf