Abstract
We introduce an observable for reading out a which-way detector in a Young-type interferometer whose eigenstates either contain full which-way information or none at all. We calculate the which-way knowledge K that can be retrieved from this observable and find that K depends on the phase difference δ that the interfering quantum object accumulates on its passage through the interferometer. It turns out that for certain phase shifts K(δ) equals one, independent of the visibility of the interference pattern. In addition, within a certain range of phase shifts K(δ) can be larger than the which-way information obtained from the observable recognized to provide optimal which-way information on average.
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