Ontology of measurement and correlation

[entropy1]

If a non-commuting measurement is made on a quantum property (like spin), this can be seen as the wavefunction being prepared. So you can't tell if the outcome represents the property, or that the property is prepared. However, if the property is prepared, we can predict the correlation with a consecutive measurement of the same property.

So my question is if the property is real, or that only the correlation between two measurements is real.

 

[A. Neumaier]

If a non-commuting measurement is made

What is a non-commuting measurement? Measurements are not operators in a Hilbert space, commutation makes no sense for them.