Quantum trajectories for time-binned data and their closeness to fully conditioned quantum trajectories
Standard methods for estimating quantum states from time-binned measurement data introduce errors scaling as order $(\Delta t)^{3/2}$. The authors propose a new '$\Phi$-map' that uses an additional statistic, $\phi_t$, to achieve a significantly better error scaling of order $(\Delta t)^2$. This map provides the most accurate estimation among existing higher-order methods.