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Measurements serve as the intermediate communication layer between thequantum world and our classical perception. So, the question which measurementsefficiently extract information from quantum systems is of central interest.Using quantum steering as a nonclassical phenomenon, we show that there areinstances, where the results of all two-outcome measurements can be explainedin a classical manner, while the results of some three-outcome measurementscannot. This points at the important role of the number of outcomes inrevealing the nonclassicality hidden in a quantum system. Moreover, our methodsallow to improve the understanding of quantum correlations by delivering novelcriteria for quantum steering and improved ways to construct local hiddenvariable models.

Some quantum measurements with three outcomes can reveal nonclassicality where all two-outcome measurements fail to do so