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We show that the resolution ``per absorbed particle'' of standard absorption tomography can be outperformed by a simple interferometric setup, provided that the different levels of ``gray'' in the sample are not uniformly distributed. The technique hinges upon the quantum Zeno effect and has been tested in numerical simulations. The scheme we propose could be implemented in experiments with uv light, neutrons, or x rays.
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Facchi et al. (2002) studied this question.
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