Explore the fundamental axioms of quantum mechanics as they apply to quantum computing in this graduate-level lecture from Carnegie Mellon University's "CS Theory Toolkit" course. Delve into unitary matrices, qubit gates, and n gates while learning about the rules governing quantum mechanics in practice. Gain insights from recommended resources such as Nielsen and Chuang's "Quantum Computation and Quantum Information" and Mermin's "Quantum Computer Science." Taught by Ryan O'Donnell, this 41-minute lecture provides a comprehensive introduction to quantum circuits and their applications in theoretical computer science research.