High-speed and large-capacity all-optical signal processing can be achieved in the future with the optical parallel logic operators. Such devices can help reduce data transmission delays. This study proposes a hybrid operator of three-channel optical phase for optical computing (A+B-C, A+C-B, and B+C-A) that is designed according to the phase-insensitive amplification principle of four-wave mixing (FWM) in fibers. The nonlinear coupled-mode equations for the cascade FWM are derived. Results reveal that between each output idler and input signal have a certain phase relation, which provides the theoretical basis for phase compensation. Moreover, parallel hybrid operators have amplitude noise index and phase noise transfer coefficient in terms of error vector amplitude (EVM) of 0.9 dB and 1.67, respectively. For a quadrature phase shift keying (QPSK) signal, when the signal-to-noise ratio is >24 dB and the EVM is <12%, the symbol error rate of error-free coding is <10 -3. Three- and single-channel operators exhibit the same phase noise transfer characteristics due to common FWM-phase matching conditions. However, the three-channel operator exhibits lower phase noise of 0.2 dB and larger power transfer efficiency that is more than twice that of the single-channel operator.