Zero-field quantum sensing via precise geometric controls for a spin-1 system

The presence of an external magnetic field leads to the loss of anisotropic physical information and is responsible for the broadening of spectra in sensing experiments with solid-state quantum sensors. However, the range of applicable sensing protocols at zero field was limited due to the incomplete manipulations. Here we propose and demonstrate a precise geometric control protocol in a spin-1 quantum sensor for zero-field multiquantum gates. By employing specific phased geometric controls, state leakage is prevented at zero field even under low control power, which allows much more complicated multipulse control especially under living biological conditions. Our method offers an approach to implement an arbitrary multiquantum gate on the spin-1 quantum sensor, rendering it a valuable tool for zero-field multipulse quantum technologies, such as nanoscale zero-field multidimensional nuclear magnetic resonance.