  Gyroscope for rotation sensing plays a key role in inertial navigation
systems. Developing more precise gyroscopes than the conventional ones bounded
by classical shot-noise limit by using quantum resources has attracted much
attention. However, existing quantum gyroscope schemes suffer severe
deterioration under the influence of decoherence, which is called the no-go
theorem of noisy metrology. Here, by using two quantized optical fields as
quantum probe, we propose a quantum gyroscope scheme breaking through the
constraint of the no-go theorem. Our exact analysis of the non-Markovian noise
reveals that both the evolution time as a resource in enhancing the sensitivity
and the achieved super-Heisenberg limit in the noiseless case are
asymptotically recoverable when each optical field forms a bound state with its
environment. The result provides a guideline for realizing high-precision
rotation sensing in realistic noisy environments.
