Consistent histories and contrary inferences

Abstract

To perform a more transparent analysis of the problems raised by contrary inferences within Consistent History approach to Quantum Theory, we extend the formalism of the conceptual basis. According to our analysis, the conceptual difficulties arising from contrary inferences are ruled out.

Simultaneous Elements of Reality for Incompatible Properties by Exploiting Locality

“…i.e. condition Re(T r(C h 1 ρC * h 2 )) = 0 holds for all mutually exclusive histories h 1 and h 2 , where The analysis of the conceptual problems raised by CQT led some authors to extend the conceptual basis of CQT [18]. Then, for every family C the existence of a support of C is postulated, defined as the concrete set b(C) of all specimens of the physical system such that for each individual s ∈ b(C) every history of C either occurs or does not occur (briefly, makes sense).…”

“…Moreover, the following statement is assumed to hold in the extended conceptual basis of CQT [18]: iii) Let C 1 and C 2 be two families of histories; then C 1 ⊆ C 2 implies b(C 2 ) ⊆ b(C 1 ).…”