This lecture introduces the paradigm of digital quantum computation, aiming to define a universal set of elementary quantum operations and develop ways to control them for performing computations efficiently. The instructor discusses the concept of quantum bits, logical gates, error correction, and the efficiency of quantum computation. Various quantum gates and operations, such as Hadamard gate, T-gate, and rotations, are explained in detail, along with useful theorems related to quantum computation. The lecture emphasizes the importance of unitary operations and reversible classical computation in the context of quantum computing.