Classical information theory as developed by Shannon and his successors employs standard (Kolmogorov) probability theory. The histories approach to quantum mechanics also uses standard probability theory, and thus it is plausible that as long as one sticks to a single quantum framework, both the mathematical structure and the intuition associated with classical information theory can be directly translated into the quantum domain. This is indeed the case, and such a quantum framework is not limited to quasiclassical states; it can also include microscopic quantum states.