  A noiseless linear amplifier (NLA) performs the highest quality amplification
allowable under the rules of quantum physics. Unfortunately, these same rules
conspire against us via the no-cloning theorem, which constrains NLA operations
to the domain of probabilistic processes. Nevertheless, they are useful for a
wide variety of quantum protocols, with numerous proposals assuming access to
an optimal NLA device which performs with the maximum possible success
probability. Here we propose the first linear optics NLA protocol which
asymptotically achieves this success probability bound, by modifying the
Knill-Laflamme-Milburn near-deterministic teleporter into an amplifier.
