Detection of incompatible properties

TL;DR

This paper explores the possibility of simultaneously detecting incompatible quantum properties in two-slit experiments, proposing solutions and an ideal experiment design for measuring multiple incompatible properties.

Contribution

It introduces new solutions and conditions for detecting incompatible properties in quantum experiments, including an experimental design for three properties and solutions for four properties.

Findings

Solutions for detecting three incompatible properties

Conditions for detecting four incompatible properties

Design of an ideal experiment for property detection

Abstract

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.