  In recent work (Nii et al., arXiv:1603.06291; Iinuma et al., Phys. Rev. A 93,
032104 (2016)(arXiv:1510.03958)) we have studied the relation between
experimental outcomes and the physical properties represented by Hilbert space
operators of a quantum system. We find that the values of physical properties
are determined by the combination of initial and final conditions, which means
that eigenstates and eigenvalues should not be misinterpreted as an exclusive
set of possible realities. Here, we discuss the practical implications of these
results and point out the importance of quantitative relations for a proper
understanding of physical effects.
