Probabilistic logics in quantum computation

The quantum computation process may be summarized as follows: rst an initial state of a physical system is provided as the input. Then, it evolves according to the elementary operations (quantum gates) that are performed on it. Finally, the access to the information content of the resulting state is possible via the measurement operation that provides one of the possible results. In this note we describe probabilistictype semantics for propositional logics designed to describe eective procedure based on measurement processes