Large dynamic range quantum metrology with adaptivity and short one-axis twists

Phase estimation with potentially large phase values, i.e. with large dynamic range, has many applications, for example to atomic clocks. A recently proposed phase estimation algorithm approaches Heisenberg scaling in this setting using appropriately squeezed probe states and adaptively chosen, potentially midcircuit, measurements. We propose an experimentally feasible version of this phase estimation algorithm based on one-axis twists. We explicitly describe protocols that use multiple one-axis twists to prepare states for which the spin-squeezing parameter decays as N^-μ with μ>2/3 using twists whose duration also decreases with system size. Then we show that these states are suitable for use in the squeezed-state phase estimation algorithm via direct simulation and determination of the system size dependence of the estimation error. Finally, we show that these protocols have robustness to imperfections such as particle number fluctuations and coherent control fluctuations.