Abstract
We present a comparative analysis of trilinear parametric processes for photon-number detection. Attention is focused on those processes that correspond to constituent devices in optical networks, such as second- and subharmonic sum- and difference-frequency generation and phase-sensitive and insensitive amplification and attenuation. Gains, output Fano factors, and noise figures are given for input in both coherent and number eigenstates. The fully quantum processes (i.e., with no classical pump) are evaluated numerically. It is shown that the depletion of the quantum pump is never complete and this accounts for additional noise at the output
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