[S5] Probability in nonsignaling theories – M. Kuś скачать в хорошем качестве

[S5] Probability in nonsignaling theories – M. Kuś

prof. Marek Kuś Center for Theoretical Physics, Polish Academy of Sciences Abstract: I will analyze the structure of the so-called no-signaling theories respecting relativistic causality, but allowing correlations violating bounds imposed by quantum mechanics such as CHSH inequality. I’ll discuss the relations among such theories, quantum mechanics, and classical physics. The main result is the construction of a probability theory adequate for such systems exhibiting differences in comparison with classical and quantum probabilities and, finally, give a mathematically rigorous justification of using term probability in connection to non-signaling theories. I will show that the question of whether such a theory can be treated as a kind of ‘generalization’ of the quantum theory cannot be answered positively. Some of its features put it closer to the quantum world—on the one hand, for example, the measurements are destructive, though on the other hand the Heisenberg uncertainty relations are not satisfied. Another interesting property contrasting it from quantum mechanics is that the subset of ‘classically correlated states’, i.e. the states with only classical correlations, does not reproduce the corresponding classical world systems.