Abstract
In quantum precision metrology, the famous result of Heisenberg limit scaling as 1/N (with N the number of probes) can be surpassed by considering nonlinear coupling measurement. In this work, we consider the most practice-relevant quadratic nonlinear coupling and show that the metrological precision can be enhanced from the 1/N^3/2 super-Heisenberg scaling to 1/N², by simply employing a pre- and post-selection (PPS) technique, but not using any expensive quantum resources such as quantum entangled state of probes.