I. Introduction
Optical amplifiers are key devices used in a wide range of applications such as optical communications, photon detection, optical processing, and laser physics to compensate passive loss, increase power level or enhance receiver sensitivity. To date all commercialized optical amplifiers are phase-insensitive [1]–[4], which amplify the two orthogonal quadratures of the input signal equally. This type of optical amplifier is characterized by the well-known 3 dB quantum-limited noise figure (NF) [5] and will thus degrade the output signal-to-noise ratio (SNR) by adding excess noise.