Practical Measurements for Arbitrary Objects Using Spiral Spectrum Analysis

In our theoretical framework, we have introduced practical measurement techniques for objects with arbitrary geometries. This is demonstrated in Equation 9, where the experimenter can select the appropriate probe state based on the dominant or minimal components in the object's spiral spectrum. In our experiments, we employ a non-rotationally symmetric object for the probe rotation. Fig. 5 showcases our use of superposition states tailored to the specific information content of the object, rather than relying on superposition states of positive and negative 'l'.