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We investigate phase-insensitive linear amplification at the quantum limitfor single- and two-mode states and show that there exists a broad class ofnon-Gaussian states whose nonclassicality survives even at an arbitrarily largegain. We identify the corresponding observable nonclassical effects and findthat they include, remarkably, two-mode entanglement. The implications of ourresults for quantum cloning outside the Gaussian regime are also addressed.

Linear amplification and quantum cloning for non-Gaussian continuous variables