Hyperfine-enhanced gyroscope based on solid-state spins

Solid-state platforms based on electro-nuclear spin systems are attractive candidates for rotation sensing due to their remarkable sensitivity, stability, and compact dimensions favorable for industrial applications. Previous nuclear spin-based solid-state gyroscopes measure rotation rates through the accumulated phase of the nuclear spin superposition state, and thus are hindered by the short spin dephasing time. Here, we introduce a gyroscope protocol based on a two-spin system robust to spin dephasing that includes a spin intrinsically tied to the host material and an isolated spin, using an example based on the 15N-NV system in diamond. The rotation rate is then extracted from the relative rotation angle between these spins. Leveraging the hyperfine coupling between the two spins, the relative rotation is amplified, boosting the achievable sensitivity of the gyroscope by more than an order of magnitude and up to three orders of magnitude at large magnetic fields. The ultimate sensitivity of the gyroscope is limited by the lifetime of the spin system, compatible with a broad dynamic range, even in the presence of magnetic noises or control errors. Our result pushes the progress of quantum-based gyroscopes and enables precise measurement of slow rotations and exploration of fundamental physics.