Abstract
We exhibit an example of a concrete (=set-representable) quantum logic which is not a Boolean algebra such that every state on it is Jauch-Piron. This gives a negative answer to a problem raised by Navara and Pták. Further we show that such an example does not exist in the class of complete (i.e., closed under arbitrary disjoint unions) concrete logics.
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Müller, V. Jauch-Piron states on concrete quantum logics. Int J Theor Phys 32, 433–442 (1993). https://doi.org/10.1007/BF00673353
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DOI: https://doi.org/10.1007/BF00673353