  In the above modal interpretation, property composition fails: The properties of composite systems are not decomposable into the properties of their subsystems. Consider, again, the state |ψ10&gt;. As ‘separated’ systems (i.e.,  in the decompositions of the composite system of the particle pair+apparatuses into the L-particle and the R-particle+apparatuses and into the R-particle and the L-particle+apparatuses) the L- and the R-particle have definite z-spin properties. But, as subsystems of the composite system of the particle pair (e.g. in the decomposition of the composite system of the particle pair+apparatuses into the particle pair and the apparatuses), they have no definite z-spin properties.