Quantitative conditional quantum erasure in two-atom resonance fluorescence

We present a conditional quantum eraser that erases the a priori knowledge or, the predictability of the path a photon takes in a Young-type double-slit experiment with two fluorescent four-level atoms. This erasure violates a recently derived erasure relation which must be satisfied for a conventional,. unconditional quantum eraser that aims to find an optimal sorting of the system into subensembles with particularly large fringe visibilities. The conditional quantum eraser employs an interaction-free, partial which-way measurement which not only sorts the system into optimal subsystems with large visibility, but also selects the appropriate sub., system with the maximum possible visibility. We explain how the erasure relation can be violated under these circumstances.