  Recent work by Mi\v{c}uda et al. (arXiv:1206.2852v1) suggests that pairing
noiseless amplification with noiseless attenuation can conditionally suppress
loss terms in the direct transmission of quantum states. Here we extend this
work to entangled states: first, we explore bipartite states, specifically the
two-mode squeezed vacuum (TMSV) and NOON states; and second, we examine
M-partite states, concentrating on W and Greenberger-Horne-Zeilinger (GHZ)
states. In analogy with the original proposal, our results demonstrate that in
each case under consideration, a correct combination of attenuation and
amplification techniques before and after transmission through a pure loss
channel can restore the initial quantum state. However, we find that for both W
and NOON states, the noiseless attenuation is redundant and not required to
achieve loss term suppression. This work clarifies the role of noiseless
attenuation when paired with noiseless amplification for entanglement
distribution and provides an operational example of how GHZ and W state
entanglement differs.
