![]() |
|
SEMINARS |
|
Seminar 12. Operational theories and ontological models Kulikov Denis Alexandrovich |
|||
Abstract: In this lecture, we introduced operational theories – a generalization of probabilistic theories in which the properties of systems are determined by examining the structure of preparation and measurement procedures and the probabilities of corresponding outcomes. Also we defined the notion of an ontological model for an operational theory. Preparations are called operationally equivalent if the probabilities of outcomes of any measurements are equal for these preparations; measurements are operationally equivalent if the probabilities of their outcomes coincide for any preparations. If operationally equivalent preparations correspond to the same probability distributions on the phase space, then the ontological model is called preparation non-contextual (in the sense of Spekkens); if operationally equivalent measurements correspond to the same unit partitions on the phase space, then the model is measurements non-contextual (in the sense of Spekkens). |