Quantum enhanced metrology using 100-photon Fock states

The potential advantages in quantum metrology are enhanced by increasing the involved excitation numbers of specific nonclassical states, such as Fock states, thus appealing for the generation of large photon-number Fock states. We present an efficient method for generating Fock states containing up to 100 photons within a superconducting microwave cavity through the development of a programmable photon number filter. Quantum-enhanced metrology approaching the Heisenberg scaling for both displacement and phase measurements is achieved, highlighting the metrological power of these highly non-classical states. Our study could be readily extended to mechanical and optical systems, promising potential applications in weak force detection and dark matter search.