Macroscopic realizations of quantum logics (Q685160)

Two particle quantum systems with spin can be simulated by classical automata described by graphs. These graphs are associated with non- distributive property lattices of the quantum systems. We put the non- local properties of a quantum system being in a certain eigenstate of the permutation operator into correspondence with some additional vertices in the graph which have nothing ``non-local'' in their nature. This leads to the possibility of violating Bell's inequalities in classical systems described by graphs without breaking relativity theory.