Cramér-Rao Bounds for Classical and Quantum Imaging

Physics – Quantum Physics

Scientific paper

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4 pages, 3 figures

Scientific paper

Quantum imaging promises increased imaging performance over classical protocols. However, there are a number of aspects of quantum imaging that are not well understood. In particular, it has so far been unknown how to compare classical and quantum imaging procedures. Here, we consider classical and quantum imaging in a single theoretical framework and present the fundamental limit on the resolution in the form of Cram\'er-Rao bounds for classical and quantum imaging. The resolution can be estimated from the image itself. We present a utility function that allows us to compare imaging protocols in a wide range of applications.

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