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By D.R. Bates

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In all cases, we need an apparatus Hilbert space Jf M? a pointer observable Z, the initial pointer state O, a unitary operator UA that is convenient for measuring A, and a pointer function / that correlates the pointer values Z; with the measurement results at G XA. The collection (jf M 5 Z,

Of the minimal interpretation IM and the corrresponding postulates (CR), (SO) and (SR) of the realistic interpretation IR seem to be independent requirements that characterize the respective interpretations IM and IR. , the probabilistic parts of the interpretations IM and IR, follow from probability-free interpretations, 7J^ and 7$, respectively. This important and somewhat surprising result is the content of probability theorems I and II, to be discussed in the present section and in the next section.

3 (c) General remarks The various types of unitary premeasurements discussed here have shown that a certain measurement can be characterized by a number of necessary ingredients. In all cases, we need an apparatus Hilbert space Jf M? a pointer observable Z, the initial pointer state O, a unitary operator UA that is convenient for measuring A, and a pointer function / that correlates the pointer values Z; with the measurement results at G XA. The collection (jf M 5 Z,

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