  We propose an on-chip all-optical gyroscope based on nonlinear multi-resonant
cavity quantum photonics in thin film $\chi^{(2)}$ resonators -- Quantum-Optic
Nonlinear Gyro or QONG in short. The key feature of our gyroscope is co-arisal
and co-accumulation of quantum correlations, nonlinear wave mixing and
non-inertial signals, all inside the same sensor-resonator. We theoretically
analyze the Fisher Information of our QONGs under fundamental quantum noise
conditions. Using Bayesian optimization, we maximize the Fisher Information and
show that $\sim 900\times$ improvement is possible over the shot-noise limited
linear gyroscope with the same footprint, intrinsic quality factors and power
budget.
