Comparison of the Error Incurred in the Measurement of Nonblinking, Nonpoint-Source Objects Using Classical and Quantum Imaging

Our covariance analysis not only addresses this symmetry but also that the width of the covariance peak is broader than a single pixel owing to the nature of SPDC and the details of the optical arrangement. Consideration of this broadening provides significant improvement of the image quality. The Heisenberg limit (HL) is achieved within experimental error: using the same optical alignment, the resolution obtained with entangled pairs of 810 nm photons is, within experimental error, twice that obtained with classical 810 nm photons.

More importantly, the error bars of measurements with 810 nm entangled pairs are quantified by the Cramér-Rao lower bound (CRLB) and compared with those of the classical measurements. While other workers have done quantum imaging on nonpoint sources, to our knowledge we are the first group that not only has done the quantum imaging <i><b>but also</b></i> has compared the CRLB <i><b>and</b></i> the measured error of the quantum and classical measurements for a series of different-sized objects.

(Similar comparisons have, however, been made for systems that can be approximated as point sources, e.g., determining the separation of two laser beams).