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We investigate the benefits of probabilistic non-Gaussian operations in phaseestimation using difference-intensity and parity detection-based Mach-Zehnderinterferometers (MZI). We consider an experimentally implementable model toperform three different non-Gaussian operations, namely photon subtraction(PS), photon addition (PA), and photon catalysis (PC) on a single-mode squeezedvacuum (SSV) state. In difference-intensity detection-based MZI, two PCoperation is found to be the most optimal, while for parity detection-basedMZI, two PA operation emerges as the most optimal process. We have alsoprovided the corresponding squeezing and transmissivity parameters at bestperformance, making our study relevant for experimentalists. Further, we havederived the general expression of moment-generating function, which shall beuseful in exploring other detection schemes such as homodyne detection andquadratic homodyne detection.

Optimal non-Gaussian operations in difference-intensity detection and parity detection-based Mach-Zehnder interferometer