MORE ON THE STATE-DEPENDENT IMPLICATION IN QUANTUM-MECHANICS (VOL 27,PG 7503, 1994)

The mixing structure of a given quantum state (statistical operator) r ho is considered, that is, the pure states and associated weights of w hich it consists. Its influence on the state-dependent quantum logical implication determined by rho is also studied. It is found that it ha s no influence at all except through the null-projector. It is shown t hat the latter, when it determines the state-dependent implication, in a certain sense, carries with it all the Boolean mathematical structu re of projectors in the given Boolean subalgebra a of quantum logic P( H), where B is the 'domain' of definition of the state-dependent impli cation.