According to the fundamental laws of quantum optics, noise is necessarily
added to the system when one tries to clone or amplify a quantum state.
However, it has recently been shown that the quantum noise related to the
operation of a linear phase-insensitive amplifier can be avoided when the
requirement of a deterministic operation is relaxed. Nondeterministic noiseless
linear amplifiers are therefore realizable. Usually nondeterministic amplifiers
rely on using single photon sources. We have, in contrast, recently proposed an
amplification scheme in which no external energy is added to the signal, but
the energy required to amplify the signal originates from the stochastic
fluctuations in the field itself. Applying our amplification scheme, we examine
the amplifier gain and the success rate as well as the properties of the output
states after successful and failed amplification processes. We also optimize
the setup to find the maximum success rates in terms of the reflectivities of
the beam splitters used in the setup. In addition, we discuss the nonidealities
related to the operation of our setup and the relation of our setup with the
previous setups.Comment: arXiv admin note: substantial text overlap with arXiv:1309.428