Detection of incompatible properties

In a typical two-slits experiments we face the question whether it is possible or not to attain knowledge about properties incompatible with Which-Slit property together with the measurement of the final impact point. A wide family of solutions is concretely found and an ideal experiment realizing such a detection is designed, relatively to the detection of three such incompatible properties. In the case of four incompatible properties, general conditions for the existence of solutions are singled out and a particular family of solutions is provided.