 Integrated Information Theory, IIT, is a theory of consciousness which attempts to explain how a system's current state can specify information about itself. It has been applied to classical systems, but not yet to quantum systems. We have extended this theory to quantum systems by translating a recently developed measure of intrinsic information into a density matrix formulation and extending the concept of conditional independence to account for quantum entanglement. This allows us to analyze the internal structure of composite quantum states and operators, which are not accessible through traditional information-theoretic methods. Our results may help to clarify the relationship between consciousness, causality, and physics, ranging from classical to quantum systems. This article was authored by Larissa Elbentakis, Robert Prentner, and Ian Durham.