This course will introduce quantum computation and quantum information. Essential concepts will be discussed: two-level quantum systems, quantum measurements, entanglement, decoherence, difference between quantum and classical computation, and quantum logic gates. Students will learn to understand the operation of quantum circuits on several examples, including quantum teleportation. Applications of quantum computing will be discussed which will include efficient quantum algorithms (quantum Fourier transform and its applications and quantum search algorithms) and quantum simulations. Quantum cryptography and quantum key distribution will be introduced with their applications. The quantum error-correction codes will be discussed, with the example of an error-correction circuit considered in detail. Examples of physical implementations of some concepts will be given throughout the course for illustration and preparation for the quantum hardware course. This course will present students with a broad overview of the quantum information field, its rapid progress, and relevant scientific literature. To further this goal, the students will carry out literature research on a quantum computing topic of their choice (approved by the course instructor), write a paper and present their topic in class.