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In a recent work (Allegra et al, Phys. Rev. Lett. 105, 100503, 2010) weaddressed the evolution of photon-number entangled states in noisy Gaussianchannels. Upon exploiting several non equivalent separability criteria we foundevidence that entanglement of Gaussian PNES survives longer, and thus we drew aconjecture about the generality of this result. In their Comment to our work,Lee et al. use an additional entanglement criterion (NDPT) which allows them toshow some counterexamples to our conjecture, i.e., nonGaussian states whoseentanglement survives longer. In this reply, we argue that although there areno flaws or central errors in our original Letter, the conjecture is notmaintanable in a strict sense if one includes the NDPT criterion. Nevertheless,for the examples of non Gaussian states proposed in the Comment, which violatethe conjecture, the residual entanglement is extremely low. Therefore itremains an open question whether these, as well as other kinds of states, couldrepresent a useful resource in quantum communication protocols.

Reply on "Comment on 'Role of initial entanglement and non-Gaussianity  in the decoherence of photon-number entangled states evolving in a noisy  channel' "