Computations on quantum computers based on non-classic probability theory

Principal concepts of quantum probability theory are considered. Some properties of a priori and a posteriori quantum probabilities are studied. Concepts of regular and nondestructive measurement procedures are analyzed. Effects associated with compatibility and lack of correlation of quantum procedures are studied. Markov sequences of quantum procedures for quantum systems with finite or countable number of states is defined. The computation process on the n -qubit quantum computer is showed to represent operations that obey laws of quantum probability theory.