We give a criterion to compare the physical content of different mathematical structures derived from a preparation-question structure. Then this criterion is used in order to compare the physical content of the (Jauch-Piron's) property lattice with the physical content of the poset of testable properties. We prove that for complete preparation-question structures these two structures carry the same physical content; moreover the set of testable properties has the algebraic structure of the Brouwer-Zadeh lattice. For more general preparation-question structures the physical content of the poset of testable property can be larger than that of the property lattice. Physically relevant examples of the possible cases are given.
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Titolo: | Physical content of preparation-question structures and Brouwer-Zadeh lattices |
Autori: | |
Data di pubblicazione: | 1992 |
Rivista: | |
Handle: | http://hdl.handle.net/20.500.11770/148052 |
Appare nelle tipologie: | 1.1 Articolo in rivista |