Using no conventional measurements in position space, information extractionrates exceeding one bit per photon are achieved by employing high-dimensionalcorrelated orbital angular momentum (OAM) states for object recognition. Thecorrelations are shown to be insensitive to axial rotation of the targetobject: the information structure of an object's joint OAM coincidence spectrumis unchanged even when the object undergoes random rotations between eachmeasurement. Additionally, OAM correlations alone are shown to be sufficientfor full image reconstruction of complex, off-axis objects, and novel objectsymmetries are observed in the phases of OAM-object interaction transitionamplitudes. Variations in mutual information rates, due to off-axis translationin the beam field, are studied, and it is shown that object symmetry signaturesand information rates are independent of environmental factors sufficiently farfrom the beam center. The results motivate dynamic scanning applications incontexts where symmetry and small numbers of noninvasive measurements aredesired.
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