When is a set of questions to nature together with sharp answers to those questions in one-to-one correspondence with a set of quantum states?
Abstract
A general question is posed to the quantum community. Partial results are formulated in a self-contained way. In particular, the title question is answered affirmatorily in two cases: 1) The case of spin/ angular momentum of a partcle; 2) A general symmetry situation under certain technical assumptions.
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