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We report on an optimal binary strategy for angular displacement estimation.The measuring system is a modified Mach-Zehnder interferometer fed by acoherent state carrying orbital angular momentum, and two Dove prisms areembedded in two paths. In terms of the fidelity appraisal, parity detection andZ detection are discussed, and the optimal estimation strategy is presented. Weadditionally study the effects of several realistic scenarios on the fidelity,including transmission loss, detection efficiency, dark counts, and those whichare a combination thereof. Finally, we exhibit a proof of principle experimentand perform Bayesian estimation on data processing. The experimental resultsimply resolved enhancement by a factor of 1.86 suggesting super-resolvingsignal. Meanwhile, on the trial greater than 500, we show that the angulardisplacement can be precisely estimated via acquired outcome information.

Optimal binary strategy for angular displacement estimation based upon fidelity appraisal